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ORI GIN AL PA PER
The Taxonomy of a Japanese Stroll Garden:An Ontological
Investigation Using FormalConcept Analysis
Michael Fowler
Received: 24 January 2012 / Accepted: 28 May 2012
Springer Science+Business Media B.V. 2012
Abstract This paper introduces current acoustic theories
relating to the phe-nomenology of sound as a framework for
interrogating concepts relating to the
ecologies of acoustic and landscape phenomena in a Japanese
stroll garden. By
applying the technique of Formal Concept Analysis, a partially
ordered lattice of
garden objects and attributes is visualized as a means to
investigate the relationship
between elements of the taxonomy.
Keywords Formal concept analysis Japanese garden Acoustic theory
Design studies
1 Introduction
Some of the most recent research into Japanese garden design has
focused on
uncovering underlying structural traits via the human process of
visual perception as
a means to describe general spatial principles used by garden
designers (van Tonder
2007; van Tonder and Lyons 2005; Yamaguchi et al. 2008). The
impact of the
Japanese garden as a richly visual encounter has led to a
substantial body of
discourse relating to the aesthetics of these spaces, which are
often understood as a
nexus between nature and art (Carlson 2000) facilitated through
highly controlled
manifestations in landscape form (Nitschke 1999; Keane 1996;
Young et al. 2005;
Itoh 1972; Kuitert 2002). That the widely known karesansui, or
dry rock gardens ofthe Muromachi era (13361573) have similarly been
frequently discussed with
regards to understanding their semiotics (Casalis 1983; Berthier
and Parkes 2000;
Holborn 1978; Bring and Wayembergh 1981) have placed what
Schafer (1977)
M. Fowler (&)Fachgebiet Audiokommunikation, Technische
Universitat Berlin, Berlin, Germany
e-mail: [email protected]
123
Axiomathes
DOI 10.1007/s10516-012-9195-y
-
describes as the acoustic ecology of such spaces as an
unexplored realm for Westernscience or Western metaphysics (Fowler
2010).
Within the two surviving historical Japanese garden treatises,
the eleventh
century Sakuteiki (The Classic of Garden Making) and the fifth
century Senzuinarabi ni yagyo no zu (Illustrations for Designing
Mountain, Water and HillsideField Landscapes) there is no direct
mention of gardening for acoustic effects. But
given the oral traditions of Japanese garden design and
production, and its
traditionally secretive approach to the passing down of
information between niwashi(master gardener) and minarai
(apprentice) (Slawson 1987), the consideration ofthe acoustic
qualities of a garden may have played an equally important, yet
undocumented role in the landscape design. There is just such a
suggestion in
Murasaki Shikibus eleventh century Heian text Genji Monogatari
(Tale of Genji),which contains a considered passage on the effects
of tuning a water feature in a
Japanese garden:
The new grand Rokujo mansion was finished The hills were high
and thelake was most ingeniously designed Clear spring water went
singing off intothe distance, over rocks designed to enhance the
music. There was a waterfall,
and the whole expanse was a wild profusion of autumn flowers and
leaves
(Seidensticker 1976).
As a means to examine more closely the role of acoustic design
within traditional
Japanese garden landscapes, this paper will introduce key
concepts of three
prominent acoustic theorists, R. Murray Schafer, Barry Blesser
and Linda-Ruth
Salter as a means to construct a taxonomy of the Japanese stroll
garden Kyu
Furukawa Teien. Such an approach will allow for an examination
of the connection
between designed elements of landscape and soundscape form
(Schafer 1977).I further utilize the methodology of Formal Concept
Analysis (FCA) (Willie 1982)
to explore the garden as a constructed ontology via the
visualization of a partially
ordered lattice, which then allows for deep-level concepts and
sub-concepts of the
gardens contents to be revealed for discussion.
2 Acoustic Theory: Soundscape and Aural Architecture
Theories on sound and the sounding environment as a discourse
linked to
Heideggers notion of phenomenology have most prominently, and
moreover only
very recently, been forwarded by the Canadian composer R. Murray
Schafer. His
interdisciplinary research group founded at Simon Frasier
University in Vancouver
in the late 1960s was an amalgam of researchers active in
musical composition,
noise engineering, psychoacoustics and urban planning. As a
means to place a
greater emphasis on the sounding environment of cities as spaces
for greater design
control regarding acoustic phenomenon, Schafer introduced the
notion of sound-scape as a derivation from the word landscape. Much
like Heiddegers (1971)notion of place, Truax (2001) describes
Schafers concept of soundscape asrepresenting the total sounding
environment (or acoustic ecology) in which the
subjectivity of the listener places them within it. The
soundscape is thus not merely
Axiomathes
123
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emerging from the physical environment, but may also be
experienced through
virtual simulations or audio recordings.
Central to the theory of soundscape is the method by which a
taxonomy is
constructed that describes the constituent sounds of the
acoustic space as well as a
knowledge of the auditors or the acoustic community of the
environment (includingtheir cultural, social, political or
aesthetic expectations). Schafer (1977) introduces
three classes of sounds, soundmarks, keynotes and sound signals
whose numerousinstances compete within an environment, in effect
producing particular sensory
experiences that meaningfully connect an auditor to a place.
Soundmarks are those sounds that are considered culturally
significant or deemed
by an acoustic community to warrant preservation (e.g.,
church/temple bells, town
square clocks, foghorns), while keynote sounds are those which
are continuously
operable within a site and form a background (e.g., traffic, air
conditioner sounds,
muzak). Sound Signals represent foregrounded sounds within a
soundscape and thus
may dynamically change and include local soundmarks, though as
Truax (1999) and
Augoyard and Torgue (2005) have noted, within modern cities the
increase in the
SPL (sound pressure level) of emergency warning signals is a
direct consequence of
the increased noise floor level of urban spaces. Truax (2001)
also argues that within
urban environments, sound signals are overwhelmingly generated
through electro-
acoustic means and are contributing to the masking of historical
soundmarks and
thus producing lo-fi (low fidelity) auditory environments.In
contrast to Schafers focus on the taxonomy of a soundscape as a
distinct and
separable entity of an environment or ecology (Carter 2003),
Blesser and Salter
(2007) have built an acoustic theory more closely aligned with
the architectural
phenomenology of Alberto Perez-Gomez (2001). For Blesser and
Salter the auditory
experience of a sounding environment might equally be
facilitated through real or
virtual means, though their notion of the aural architecture of
space is contingent onthe materiality, geometry and texture of its
context. Using the key terms of activeand passive aural
embellishment, an environments spatial context can beconsidered not
only in regards to Schafers taxonomy of sound classes, but also
the effects of landscape or architectonic forms in filtering,
reflecting, diffusing and
diffracting sound waves, which consequently create particular
acoustic typologies
(or identifiable behaviors). Like Schafers theory of soundscape,
the notion of aural
architecture also implies listening as a subjective activity in
which particular
combinations of active and passive aural embellishments sum to
activate an
auditors spatial auditory awareness.
3 The Garden of Kyu Furukawa Teien
Given that most of the interest in the field of design studies
of the Japanese garden
has arisen from investigations that focus purely on the visual
manifestations of
landscape form (Nitschke 1999; Keane 1996; Young et al. 2005;
Itoh 1972; Kuitert
2002), the case for considering the taxonomy of a Japanese
garden as a spatial
phenomena in which objects or elements are sources emerging from
landscape andsoundscape contexts seems feasible. In fact Blesser
and Salter (2007) have used
Axiomathes
123
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their theory of aural architecture to position the Japanese
garden as an example of a
highly considered aural design space, though historical Japanese
garden treatises are
remiss with instructions regarding design considerations of the
acoustic environ-
ment (Takei and Keane 2001; Slawson 1987). But recent visits
(Fowler 2010;
Fowler and Harvey 2006) to the Tokyo garden Kyu Furukawa Teien
suggest Blesser
and Salters notion of a highly considered acoustic design
operating within the
Japanese garden is a quality readily experienced on-site. In
particular, the presence
of a shakkei no oto or auditory shakkei (borrowed sound scene)
(Fowler 2013) setsthis garden apart from many of its more famous
Kyoto contemporaries.
Completed in 1917 and featuring a Western-style house designed
by ex-patriot
English architect Josiah Conder (18521920), the garden of Kyu
Furukawa Teien in
Kita-ku, Tokyo is an excellent example of a
chisen-shiki-kaiyu-teien or strollgarden. Using the slope of the
surrounding Muashino highland, the garden, designed
by Ogawa Jihei (18601933), exhibits many of the common traits of
Taisho
(19121926) landscaping. By typically combining the elements of
previous
Japanese garden styles, Kyu Furukawa Teien uses rock features
(including a
karetaki or dry waterfall) prominent in the Muromachi-era
(13361573), a largepond (shinjiike) favored in Heian (7941185)
garden aesthetics, and a tea house andtea garden most commonly
found in Meiji (18681912) designed landscapes. As
van Tonder and Lyons (2005) have noted, the traditional focus of
rocks, rock
groupings or rock formations are also abundant in Kyu Furukawa
Teien, as is the
preference for odd numbering, the suggestion of numerous
landscape typologies
(e.g., ravines, mountains, rivers), predilection for
asymmetrical compositions,
uniform textures and natural looking features.
The landscape features of the garden (see Fig. 1) also combine
what Carlson
(2000) considers the dialectic relationship they construct when
elements of the
naturally appearing environment (topography, plantings, water)
are juxtaposed with
artificial architectonic objects (lanterns, bridges,
architecture). Indeed all the
elements of a garden, from the topography, rock placements,
paths and water
features have been codified and named within the two extent
treatises on garden
making (each available in modern translations): the eleventh
Century Sakuteiki(Takei and Keane 2001) and fifth Century Senzui
Narabi ni yagyou no zu (Slawson1987). But in the case of Kyu
Furukawa Teien, a number of the landscape features
are also active aural embellishments and thus contribute to the
gardens soundscape
design.
The most prominent of the landscape features that contribute to
the acoustic
activation of the site is the ootaki or large waterfall and the
suiro (a smallwatercourse) that empties shinjiike to the southwest.
With a drop of 10 m theprojection of the sounds of falling water
from the ootaki can be heard across the site.In what Schafer would
identify as a soundmark, the ootaki represents thepredominate sound
signal of the garden in which other sounds such as the exterior
hum of the city or the sound of wind in the trees provides a
background keynote.
Other signals that occur seasonally within Kyu Furukawa Teien
include bird life,
aquatic animals (such as the movement of fish and turtles) as
well as insects (cicadas
during summer months). The other passive landscape features of
the garden act in
concert with these active aural embellishments. In particular,
shinjiike and its low
Axiomathes
123
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Fig
.1
Rep
rese
nta
tive
landsc
ape
elem
ents
of
the
gar
den
atK
yu
Furu
kaw
aT
eien
(see
also
Tab
le2).
To
pro
w(L
-R):
keik
oku
(rav
ine)
,is
hid
oro
(sto
ne
lan
tern
),ch
a-s
hit
u(M
eiji
tea
ho
use
),ka
reta
ki(d
ryw
ater
fall
).S
econd
Row
(L-R
):so
ri-b
ash
i(w
oo
den
arch
bri
dge)
and
myo
seki
(tu
rtle
rock
),sh
inji
ike
(po
nd
),is
hid
xoro
(sto
ne
lan
tern
),n
ori
-n
o-i
shi
(mo
un
tain
pat
h).
Th
ird
Ro
w(L
-R):
saw
ata
riac
ross
the
kare
taki
,ex
teri
or
arch
itec
tura
lco
nte
xt,
ish
iba
shi
(sto
ne
bri
dge)
,to
bi-i
shi
(ste
ppin
gst
on
ep
ath
).F
ourt
hR
ow
(L-R
):se
kito
(sto
ne
pag
oda)
,F
uru
kaw
are
sid
ence
,h
eav
ytr
eeco
ver
,o
ota
ki(w
ater
fall
)
Axiomathes
123
-
lying topographic aspect together with the various acoustically
reflective rocks
around it, including the formation of the karetaki (dry
waterfall comprised of stonesemulating the movement of water),
enable the soundmark of the ootaki to penetratethe site and produce
what Blesser and Salter (2007) describe as an acoustic arena(a
localized area in which sounds can be heard). This arena then
facilitates the
operation of the gardens shakkei no oto (Fowler 2013), in which
the distant soundof falling water at the ootaki, while hidden from
view at the karetaki by over 50m, isclearly heardan effective
borrowing of the waterfalls soundscape to compliment
the implication of moving water that is manifest within the rock
sculpture of the
karetaki.
4 Generating an Ontology Using Formal Concept Analysis
That the theories of Schafer, Blesser and Salter can be readily
used in analyzing the
acoustic qualities of Kyu Furukawa Teien through naming or
identifying the
function of various landscape/soundscape elements leaves the
deeper question of
the structure and connections between such elements as an
unaccounted one
especially in the case of the shakkei no oto. As a particularly
relevant question to thediscipline of design theory, an inquiry
into the garden as a synthesis between
qualities of landscape ecology that produce or enable acoustic
behaviors may
provide a new discourse on the conceptual attributes and goals
of the Japanese
garden designer. By positioning the Japanese garden as a design
space (Woodburyand Burrow 2005) in which a networked structure of
related descriptions of partial
and/or intentional designs are housed, allows for a systematic
analysis of the design
artifacts using the technique of FCA (Willie 1982). With FCA, an
ontology of the
garden is constructed in which a systematic investigation into
its taxonomy may
reveal deeper spatial predilections regarding its design
space.
As Priss (2006) notes, FCA has most widely been used in the
information
sciences, Artificial Intelligence, information retrieval and
software engineering as a
method for data analysis, knowledge representation and
information management.
Wolff (1994) describes the fundamentals of FCA as an
mathematical exploration of
incidence relations between objects and attributes. Vogt and
Willie (1995) define a
formal context (see Table 1) as a collection of binary relations
between a set of
objects, G (derived from the German word Gegenstande) and their
correspondingattributes M (Merkmale). Given that it may be
impossible to list all attributes of anygiven object, a specific
formal context or closed world is assumed (Davey and
Priestley 2002). This formal context (K) is then expressed as: K
G; M; I forwhich G and M are sets while I is a binary relation
between G and M, i.e., I GM (Ganter et al. 2005). This fundamental
tenant of FCA is understood as objectg has the attribute m, and is
notated as gIm or g; m 2 I:
Table 1 is a generated formal context of objects and attributes
from site visit
observations of the Japanese garden Kyu Furukawa Teien. By
utilizing attributes
forwarded by Schafer (1977), Blesser and Salter (2007) together
with Carlsons
(2000) contention that Japanese gardens are a dialectic
construction between
natural and artificial elements, the context attempts to canvas
qualities of both
Axiomathes
123
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landscape and acoustic phenomena. The additional attributes of
seasonal, terrestrialand architectonic similarly provide a scope
for interrogating the myriad instances ofobjects within the garden.
Rather than pursuing the impracticality of specifying all
instances of garden objects (e.g., every species of tree etc.)
object classes are used,
of which instances (i.e., g 2 G) can be found in Table 2 and
represent anexhaustive account of meaningful garden objects.
Formal concepts, cn; are derived from K through a mapping of the
intention andextension of a concept: ext(cn), int(cn). The
extension of a concept consists of a set
Table 1 K (Kyu Furukawa Teien)
AAE PAE Ter. Nat. Art. Sea. Arch. Sou.
Rocks 9 9 9
Garden ornaments 9 9 9
Moving water 9 9 9 9
External sounds 9 9 9 9
Topography 9 9 9 9
Still water 9 9 9
Fauna 9 9 9 9
Habitable architecture 9 9 9
Paths 9 9 9
Flora 9 9 9 9
Earth 9 9 9
Bridges 9 9 9
AAE active aural embellishment, PAE passive aural embellishment,
Ter. terrestrial, Nat. natural, Sea.seasonal, Arch. architectonic,
Sou. soundscape
Table 2 Instances of g in G
G g 2 G
Rocks myoseki (named rocks), mumyoseki (unamed rocks)
Garden ornaments sekito (pagoda), ishidoro (stone lanterns)
Moving water ootaki (large waterfall), suiro (small water
course)
Exterior sounds traffic, air conditioner noise, aircraft, human
activity
Topography miyama-no-sakai (mountainous area), jiban (plain or
flat ground),keikoku (ravine), karetaki (dry waterfall)
Still water shinjiike (pond in shape of the Chinese ideogram for
heart)
Fauna koi (carp), turtles, birds, insects
Habitable architecture Furukawa residence, cha-shitu (tea
house), pavillion
Paths tobi-ishi (stepping stone path), nori-no-ishi (mountain
path)
Flora azaleas, conifers, maples, cowberry, honeysuckle, bamboo,
plum,
cherry, moss, grasses
Earth soil, sand
Bridges ishibashi (stone bridge), soribashi (wooden arched
bridge)
Axiomathes
123
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of all formal objects that have all the formal attributes of the
concept and vice versa
(Priss 2008). Ganter et al. (2005) use a derivation operator to
account for formalconcepts of K through assigning arbitrary X G and
Y M conditions thatundergo the following mappings:
X ! XI fm 2 M j gIm for all g 2 Xg;Y ! YI fg 2 G j gIm for all m
2 Yg:
But as Priss (2006) has noted, the success of a formal context
within disciplines
outside of those concerned purely with the inherent mathematical
qualities lies in
the careful modeling of attributes, for which the derived
concepts need not spe-
cifically correspond to intuitive notions of the user. In Table
3 a detailed definition
of M is presented along with examples of G for K of Kyu Furukawa
Teien. A formal
concept of K is thus defined as a pair (A, B) with A G; B M; A
BI ; andB = AI. The collection of all concepts of a formal context
is then denoted as BK:Ganter et al. (2005) further describes the
subconcept-superconcept-relation withinBK as operable under the
conditions:
A1; B1 A2; B2 : () A1 A2 () B1 B2:This property then generates a
hierarchy among concepts for which higher order
superconcepts, (A2, B2), may include lower level subsets, or
subconcepts,(A1, B1), which then correspondingly account for the
notion of an inheritance ofattributes or class inclusion (Priss
2008).
Table 3 Definitions of M in BK with respect to GM Definition of
M G
Soundscape Sound class instances (signals, soundmarks,keynotes)
according to Schafers (1977)theory of soundscape
Fauna, moving water, exterior sounds
Active aural
embellishment
Blesser and Salters (2007) definition of
sound sources of an environment as agents
that provide acoustic identity to a space
Fauna, moving water, exterior sounds
Seasonal Objects or agents that are influenced by
seasonal changes
Flora, fauna, exterior sounds
Natural pertaining to the natural environment Rocks, moving
water, topography,
flora, earth, fauna, still water
Artificial Objects that are produced or designed or
serve functional purposes: also ephemera
that are a function of human activity
Garden ornaments, exterior sounds,
topography, habitable architecture
paths, bridges
Terrestrial Features or land-form elements of the earth
Topography, flora, moving water,
still water, paths, earth, rocks
Passive aural
embellishment
Blesser and Salters (2007) definition of the
acoustic properties (materiality) of a space
in governing the behavior of sound sources
(filtering, diffraction, reflection, absorption)
Topography, flora, still water, paths,
earth, rocks
Architectonic Pertaining to the built environment or
architectural features or fabrication
Habitable architecture, garden
ornaments, bridges
Axiomathes
123
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But the notion of superconcepts and subconcepts is perhaps best
revealed through
FCAs most distinct feature, the Hasse, or line diagram which is
a visualization of
BK: As shown in Fig. 2, circles denote objects or attributes
with labels sittingabove indicating an attribute, and below an
object. At the top of the diagram is an
empty circle representing the power set, PS; and at the bottom
of this diagram theempty set, . The reading rule of the line
diagram states that an object g has anattribute m if and only if
there is an upwards leading path from the circle named byg to the
circle named m (Wolff 1994). As an example, within the KyuFurukawa
Teien lattice, the concept seasonal is notated:
fcSeag ffauna, exterior sounds, florag; fSea.g Another
interesting property that arises from a partially ordered lattice
are
unforeseen concepts such as those ones unnamed in BKsee Fig. 2.
The oneinstance of a formally named subconcept, fcArchg;
architectonic, within the latticeoccurs as a subset of the extents
of the superconcepts fcArtg; artificial, and fcPAEg;
Fig. 2 Line diagram of BK generated using ConExp software
(Yevtushenko 2000). Abbreviations asfollows: Sou. soundscape, AAE
acoustic aural embellishment, Sea. seasonal, Nat. natural, Art.
artificial,Ter. terrestrial, PAE passive aural embellishment, Arch.
architectonic. See Table 3 for definitions
Axiomathes
123
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passive aural embellishment. By tracing the intent of the set of
objects that intersectthese concepts, we find:
fcArchg habitable architecture,
garden ornaments,
bridges
8>:
9>=
>;; fArch., Art., PAEg
0
B@
1
CA:
extcArch habitable architecture,
garden ornaments,
bridges
8>:
9>=
>;
) fcArchgfcArtg; fcPAEgFrom this example, what Ganter et al.
(2005) describe as the attribute
implications can be deduced under the conditions:
A ! B () AI BI with A; B MWhich in BK of Kyu Furuakwa Teien
corresponds to the notion that
farchitectonicg ! fArt., PAEg (i.e., the attribute architectonic
implies the attri-butes artificial and passive aural
embellishment).
5 Design Praxis and Ecology
One of the more striking characteristics that emerges from BK of
Kyu FurukawaTeien is the sense of a distinct partitioning between
the sets of attributes {Sou.,
AAE, Sea., Nat.} and {Art., Ter., PAE, Arch.} (see Fig. 2 for
key to abbreviations).
Using Yevtushenkos (2000) ConExp software for line diagram
generation, the node
sizes of the attributes are varied according to object extension
count (larger the
diameter the greater number of objects within the extent). The
six unnamed
subconcepts within the diagram highlight its hierarchical
partitioning, though
assigning an arbitrary naming convention allows a deeper
interrogation into the
nature of the partitioning within BK. If assigning the three far
left subconcepts asca; cb; cc; then the extents of these
subconcepts and their implications are comprisedof:
extca ffauna, exterior soundsg;fcag ! fSou., AAE, Sea.g:
extcb ffauna; movingwaterg;fcbg ! fSou., AAE, Nat.g:
extcc ffauna, florag;fccg ! fSea., Nat.g:
One of the first readily understood characteristics to emerge
from this sub-lattice
is of the attribute equivalence relation between Schafers notion
of {Sou.} and
Blesser and Salters concept of {PAE}, which can be identified
through the
subconcept-superconcept relations of ca and cb
Axiomathes
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fcagfcSoug; fcAAEg:fcbgfcSoug; fcAAEg:
and extfcSoug extfcAAEg) fSou.g fAAEg
Further to this is the association between each of the
attributes of this sub-lattice.
The union of these three subconcepts highlights a feature of the
Kyu Furukawa
Teien sub-lattice that might best be described as one concerned
with, or pertaining
to the Ecological (as a landscape and soundscape phenomena)
given the nature ofthe objects as living or dynamic organic
instances that may produce active acoustic
phenomena. By considering the instances, a and b in the
extension a 2 A; andintention b 2 B; of the summed subconcepts, SE;
reveals:
[E fca [ cb [ ccg;
a 2[
E () 9A 2 E; a 2 A ;b 2
[E () 9B 2 E; b 2 B ;
thus:
extfca; cb; ccg [
A2EA
flora, fauna,
moving water,
exterior sounds
8>:
9>=
>;:
intfca; cb; ccg [
B2EB Sou., AAE,
Sea., Nat.
:
That Schafer (1977) and Truax (2001) have positioned soundscape
studies as a
form of ecological analysis of site despite criticism from
Ingold (2009), Arkette
(2004) and Carter (2003) that their approach lacks a greater
engagement with the
environment as a totality remains a point of contention, though
within BK; thesuggestion that Kyu Furukawa Teiens ecological
elements might be described in
terms of qualities relating to acoustic and environmental
systems points toward amulti-sensory dimension of the garden. What
I have interpreted here as pertaining to
the Ecological stems from the inheritance of the attributes
ofS
Esoundscape,active aural embellishment, seasonal, naturalwhose
corresponding objectsrepresent a distinct subgroup within BK:
Similarly, the inclusion of the objectexterior sounds highlights
Blesser and Salters (2007) notion that the acoustic
arena of an aural architecture may extend well beyond the visual
horizon. Its
inclusion here alludes to the fact that considerations about the
ecology of the garden
must regard the greater context of the site beyond its own
demarcations. But by the
same token, this concept may also be applied locally within the
garden when
reading it as a series of connected landscape encounters.
Through the traditional
technique of miegakure, a visitors movements through the garden
is carefullyorchestrated so as to both reveal and focus awareness
on specific aspects, features,
or sounds within the garden at particular points. This could
then account for the
previous study of shakkei no oto operating at the karetaki
(Fowler 2013). Here, the
Axiomathes
123
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outside sounds are captured from beyond the local visual horizon
(yet still within
the greater confines of the garden) and usurped to provide an
auditory signal for the
obvious denotation of moving water encoded in the karetakis
sculptural rockformation.
But that the sub-lattice ofS
E can be viewed as a descriptor of the notion of theEcological
is further alluded to when considering the intersection,
TE; between the
extent of the three subconcepts:\
E extca \ extcb \ extcc
;
a 2\
E
$ 8A 2 E; a 2 A;thus :
\
A2EA ffaunag:
The object {fauna} then is perhaps the axiomatic element of this
sub-lattice of
BK, and moreover both an active acoustic phenomenon of the
gardenssoundscape ecology as well as a crucial element in its
landscape ecology. That it
may function as both a design element within the garden (e.g.,
as with those
introduced animals such as ornamental koi and turtles), as well
as a representativesymbol of the natural eco-system (e.g., through
migratory birds, insects) implies that
the garden is a highly dynamic multi-sensory design space. This
also suggests that
the garden is bounded by the intersection between those obvious
manifestations in
which the designer is wholly present and controlling the
landscape form and
soundscape qualities, and those instances in which uncontrolled
agents or natural
phenomena seem to freely occupy or inhabit the space.
But that the object earth is vacant fromS
E is the next point of investigation forthe secondary group of
unnamed subconcepts. Naming the secondary group of
subconcepts (left-to-right), cd; c; cf; the (A, B) values and
implications arecomprised of:
moving water, earth,
still water, rocks,
topography
8>:
9>=
>;;fcdg
0
B@
1
CAand : fcdg! fNat., Ter.g:
earth, still water,
rocks, flora,
paths, topography
8>:
9>=
>;;fcg
0
B@
1
CAand : fcg! fTer., PAEg:
paths, topography,
architecture,
garden ornaments
bridges
8>>>>>:
9>>>=
>>>;
;fcfg
0
BBB@
1
CCCA
and : fcfg! fArt., PAEg; also fcArchgfcfg
I consider this area of the Kyu Furukawa Teien lattice as
suggestive of the notion of
Design Praxis if one considers this collection of formal objects
as associated with theparameters and tools of garden design (i.e.,
objects that are placed within or transform
the extant landscape conditions). The objects and spatial
typologies located in this
Axiomathes
123
-
partition of the lattice have been named, codified and well
documented in the traditional
Japanese garden treatises (Slawson 1987; Takei and Keane 2001)
and represent a
repertory of compositional forms and structures available to the
garden designer. That
they include elements of a garden which may produce not only
visual articulations of site
but also auditory behaviors points towards the notion that
Japanese garden design
contains potential structures for synthesizing manifestations of
landscape and sound-
scape form. Examining more closely the secondary group of
subconcepts as a united
group,S
D; the extent and intent contain pertinent qualities and objects
that aredistinct from
SE: Defining the conditions for finding
SD and the instances, b in the
intention b 2 B; and instances of a in the extension a 2 A; the
objects andattributes of
SD are comprised of:
[D fcd [ c [ cfg;
a 2[
D () 9A 2 D; a 2 A;b 2[
D () 9B 2 D; b 2 B;
thus : extfcd; c; cfg [
A2DA
moving water, flora
earth, still water, rocks,
topography, paths,
architecture, garden ornaments,
bridges
8>>>>>>>>>>>:
9>>>>>>=
>>>>>>;
;
intfcd; c; cfg [
B2DB Nat., Art.,
Ter., PAE
:
That the superconcepts fcNatg; fcArtg; fcTerg; fcPAEg represent
elements thatinform
SD reveals that the notion of the design of a Japanese garden
involves a
balancing of qualities in terms of acoustic behaviors and the
nexus between naturaland artificial landscapes. Though the
complimentary attribute to passive auralembellishment is located
within
SE (i.e., active aural embellishment), the common
object moving water acts as a pivotal element between each
sub-lattice of BK.This then means that as an active aural
embellishment, moving water is an object
that is both an element for landscape/soundscape design as well
as a constituent of
an ecological system. But the complete extents ofS
D contains a further commonobject, flora and one shared
attribute, Natural, which seems to further suggest thatthe
structure of BK implicates the design space of Kyu Furukawa Teien
as onethat convalesces notions of the Ecological with Design
Praxis:
[
A2EA \
[
A2DA fflora, moving waterg:
[
B2EB \
[
B2DB fNatg:
where : fflorag 2 fcg ! fNat.g;and : fmoving waterg 2 fcdg !
fNat.g:
Axiomathes
123
-
That the lattice might be read in this fashion allows for a
generalized design
theory to emerge from the formal context of Kyu Furukawa Teien.
Using the
premise that the extent of attributes can be understood as a
synthesis between active
notions of the Ecological interleaved with considerations about
Design Praxisallows for a proposition that the garden is a highly
considered entity that seeks to
balance what Carlson (2000) identifies as manifestations between
the artificial and
the natural in a Japanese garden. Indeed the extent of the
attributes Natural andArtificial within BK penetrate both
sub-lattices as superconcepts, and thusestablish themselves as
important thematic entities.
The distinctiveness of the sub-lattices yet their shared
elements is further
revealed inT
D whose single element topography acts as a compliment to
theobject fauna which represents the nexus of
TE
\D extcd \ extc \ extcff g;
a 2\
D
$ 8A 2 D; a 2 A;\
A2DA ftopographyg;
\
A2EA ffaunag;
\
A2DA;\
A2EA
( )
2 extcNat
The situation of the objects {fauna} 2 SE and ftopographyg2 SD;
andtheir shared attribute Natural, alludes to the distinct yet
interleaved nature of KyuFurukawa Teiens design space. That the
nexus between landscape design and
landscape ecology (Naveh and Lieberman 1984; Turner 1989;
Zonneveld 1990) has
only recently been extended through considerations on acoustic
phenomena (Truax
and Barrett 2011) has been a point of inquiry central to this
investigation. What is
evident then at least within this cursory study of B K) is the
that objects that relateto the landscape eco-system and soundscape
eco-system are located within the
ext(S
E), and their implications point towards the attributes {Sou.,
AAE, Sea.,Nat.}. In terms of garden design, the lattice indicates
that those objects that
contribute to its geospatial attributes, ext(S
D), are variously acoustic {Sou., AAE,PAE}, architectonic
{Arch.} or a landscape feature {Art., Ter., Nat.}. That the
object earth is contained in the partitionS
D rather than withinS
E is a functionof the objects intent, which includes: {Nat.,
Ter., PAE}. If earth had been
designated seasonal, it would of been located differently, and
though it shares theattribute {Nat.} 2 SE; this characteristic
perhaps highlights what (Priss 2008)identifies as the utilitarian
nature of FCA to visualize the assertions at the point that
the lattice was made in terms of the definitions of M in K:
6 Conclusion
As a method for the examination of the taxonomy of Kyu Furukawa
Teien, FCA has
allowed for a deeper level of investigation regarding the
gardens design space. In
reading the formal ontology of Kyu Furukawa Teien as an amalgam
between the
Axiomathes
123
-
Ecological and Design Praxis creates what I believe is a new
form of analysisrelevant for design theorists. That design theory
(particularly within architecture)
has commonly focussed around analysis using philosophical modes
of inquiry (Hays
2000, 2010; Kipnis 2005), semiotics (Broadbent 1994; Leon 2008;
Dreyer 2003) or
shape grammar Mitchell (1990) points to the diversity and
complexity of the field of
inquiry. What has been generally lacking in the discourse though
is an investigation
into the application of phenomenological acoustic theories, or
how such theories
might be systematically appropriated to varied design contexts
or extent modes of
inquiry. Perhaps an advantage of FCA for design theory, and one
revealed in the
formal context of Kyu Furuakwa Teien, is the systematic nature
of the construction,
reading and interpretation of the lattice whose principles are
based on mathematical
relationships, yet are a function of the observed world. That a
design might be
understood in terms of its underlying visual and auditory
attributes, which then areused in the construction of formal
concepts is a powerful property of FCA.
Similarly, the notion that an object within an ontology can be
described as an
element of a larger collection (a garden, building or design),
and whose relationship
within this collection can be accounted for in a very specific
non-technical way
enables a high degree of malleability in the communication and
dissemination of the
structure to other designers and design theorists. In this
sense, FCA may be a
valuable utility that not only describes designs, but aids in
their construction.
In the most general terms, this study into Kyu Furukawa Teien
has also revealed
that though the documentation of Japanese garden design
techniques concerning
acoustic qualities are historically scant, there are inherent
instances within the
garden, which due to their attribute qualities, synthesize to
create particular
landscape/soundscape encounters. The significance of the
intersection between the
sub-lattices of BK, through the attribute Natural and objects
{flora, movingwater} perhaps encapsulates the deeper purpose of a
Japanese garden to emulate the
natural environment (Nitschke 1999; Young et al. 2005). But for
the garden
designer, the manipulation and integration of moving water and
flora have particular
acoustic consequences that may richly inform the resulting
design space. By
delicately balancing the impact between landscape form and
soundscape stimuli, the
notion that a garden is a multi-sensory environment contained
within a landscape
ecology presents the garden designer with a spatial framework to
operate within.
This is perhaps most readily revealed in Kyu Furukawa Teien in
the use of shakkeino oto, where the intersection between the
Natural, Ecological and the artificial(Design Praxis) produces a
particularly considered landscape/soundscape encounterthat at once
emulates the serene topography of a natural environment, as well as
the
controlled hand of the intervening garden designer.
Acknowledgments This research is supported by the Alexander von
Humboldt Stiftung.
References
Arkette S (2004) Sounds like city. Theory Cult Soc
21(1):159168
Augoyard JF, Torgue H (2005) Sonic experience: a guide to
everyday sounds. (trans: McCarthy A,
Parquette D). McGill-Queens University Press, Montreal
Axiomathes
123
-
Berthier F, Parkes G (2000) Reading Zen in the rocks: the
Japanese dry landscape garden. University of
Chicago Press, Chicago
Blesser B, Salter RL (2007) Spaces speak are you listening?
Experiencing aural architecture. MIT Press,
Cambridge
Bring M, Wayembergh J (1981) Japanese gardens: design and
meaning. McGraw-Hill, New York
Broadbent J (1994) Recent developments in architectural
semiotics. Semiotica 101(1/2):73101
Carlson A (2000) Aesthetics and the environments, the
appreciation of nature, art and architecture.
Routledge, London
Carter P (2003) Auditing acoustic ecology. Soundscape J Acoust
Ecol 4(2):1213
Casalis M (1983) The semiotics of the visible in Japanese rock
gardens. Semiotica 44(34):349362
Davey BA, Priestley HA (2002) Introduction to lattices and
order. Cambridge University Press,
Cambridge
Dreyer C (2003) The crisis of representation in contemporary
architecture. Semiotica 143:163183
Fowler M, Harvey L (2006) Teimu (the garden of dreams): aural
and aesthetic atrributes of Japanese
gardens as models for spatial environments. In: Imada I,
Hiramatsu K, Torigoe K (eds) The west
meets the east in acoustic ecology. Hirosaki University,
Hirosaki, pp 147165
Fowler M (2010) Mapping sound-space: the Japanese garden as
auditory model architectural research
quarterly 14(1):6370
Fowler M (2013) Hearing a shakkei: the semiotics of the audible
in a Japanese stroll garden Semiotica
(accepted for publication)
Ganter B, Stumme G, Wille R (2005) Formal concept analysis:
foundations and applications. Springer,
Berlin
Hays MK (2000) Architecture theory since 1968. MIT Press,
Cambridge
Hays MK (2010) Architectures desire: reading the late
avant-garde (writing architecture). MIT Press,
Cambridge
Heiddeger M (1971) Building, dwelling, thinking. (trans:
Hostadter A, translator, Poetry, Language,
Thought). New York, Harper Colophon Books
Holborn M (1978) The ocean in the sand. Gordon Fraser,
London
Ingold T (2009) Against soundscape. In: Carlyle A (eds) Autumn
leaves: sound and the environment in
artist practice., Double-Entendre, Parid, pp 1013
Itoh T (1972) The Japanese garden: an approach to nature. Yale
University Press, New Haven
Keane MP (1996) Japanese garden design. Charles E. Tuttle Co.
Inc, Tokyo
Kipnis J (2005) On criticism. Harvard Design Magazine, Fall, pp
96104
Kuitert W (2002) Themes in the history of Japanese garden art.
University of Hawaii Press, Honolulu
Leon AM (2008) The boudoir in the expanded field. log
11:6382
Mitchell WJ (1990) The logic of architecture: design,
computation, and cognition. MIT Press, Cambridge
Naveh Z, Lieberman AS (1984) Landscape ecology: theory and
application. Springer, New York
Nitschke G (1999) Japanese gardens, right angle and natural
form. Taschen, Kon
Perez-Gomez A (2001) The revelation of order: perspective and
architectural represetnation. In:
Rattenbury K (ed) This is not architecture: media constructions.
Routledge, New York, pp 325
Priss U (2008) Facet-like structure in computer science.
Axiomathes 18:243255
Priss U (2006) Formal concept analysis in information science.
In: Cronin B (ed) Annual review of
information science and technology, vol 40. pp 521543
Schafer RM (1977) The soundscape: our sonic environment and the
tuning of the world. Destiny Books,
Rochester
Seidensticker EG (trans) (1976) The tale of Genji, vol. 1.
Charles E. Tuttle Co, Tokyo
Slawson DA (1987) Secret teachings in the art of Japanese
gardens: design principles, aesthetic values.
Kodansha, Tokyo
Takei J, Keane MP (2001) Sakuteiki, visions of the Japanese
garden. Tuttle Publishing, Tokyo
Truax B (2001) Acoustic communication. Ablex Publishing,
Westport
Truax B (1999) AThe Handbook for Acoustic Ecology. Cambridge
Street Publishing, Burnaby
Truax B, Barrett GW (2011) Soundscape in a context of acoustic
and landscape ecology. Landsc Ecol
26:12011207
Turner MG (1989) Landscape ecology: the effects of patterns on
progress. Annu Rev Ecol Syst
20:171197
van Tonder G, Lyons MJ (2005) Visual perception in Japanese rock
garden designs. Axiomathes
15:353371
Axiomathes
123
-
van Tonder G (2007) Recivery of visual structure in illustrated
Japanese gardens. Pattern Recogn Lett
28:728739
Vogt F, Willie R (1995) TOSCANAa graphical tool for analyzing
and exploring data. In: Tamassia R,
Tollis IG (eds) Lecture notes in computer sciences 894,
Springer, Heidelberg, pp 225233
Willie R (1982) Restructuring lattice theory: an approach based
on hierachies of concepts. In: Rival I (ed)
Ordered sets. Reidel, Dordrecht, pp 429438
Woodbury RF, Burrow AL (2005) Whither design space?. AIEDAM,
Special Issue on Des Spaces
20(2):6382
Wolff KE (1994) A first course in formal concept analysis: how
to understand line diagrams. In:
Faulbaum F (ed) SoftStat93 advances in statistical software, vol
4. pp 429438
Yamaguchi K, Nakajima I, Kawasaki M (2008) The application of
the surrounding landform to the
landscape design in Japanese gardens. WSEAS Trans Environ Dev
8(4):655665
Yevtushenko SA (2000) Systems of data analysis Concept Explorer.
In: Proceedings of the 7th national
conference on Artificial Intelligence KII-2000. Russia, pp
127134
Young D, Young M, Yew T (2005) The art of the Japanese garden.
Tuttle Publishing, Tokyo
Zonneveld IS (1990) Scope and concepts of landscape ecology as
an emerging science. In: Zonneveld IS,
Forman RTT (eds) Changing landscape: an ecological perspective.,
Springer, New York, pp 320
Axiomathes
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The Taxonomy of a Japanese Stroll Garden: An Ontological
Investigation Using Formal Concept
AnalysisAbstractIntroductionAcoustic Theory: Soundscape and Aural
ArchitectureThe Garden of Kyu Furukawa TeienGenerating an Ontology
Using Formal Concept AnalysisDesign Praxis and
EcologyConclusionAcknowledgmentsReferences