Colotomy
Encyclopedia
Colotomy is a term coined by the ethnomusicologist Jaap Kunst
Jaap Kunst
Jaap Kunst was a Dutch ethnomusicologist, particularly associated with the study of gamelan music of Indonesia...

 to describe the rhythmic patterns of the gamelan
Gamelan
A gamelan is a musical ensemble from Indonesia, typically from the islands of Bali or Java, featuring a variety of instruments such as metallophones, xylophones, drums and gongs; bamboo flutes, bowed and plucked strings. Vocalists may also be included....

. It refers to the use of specific instruments to mark off nested time intervals, or the process of dividing rhythmic time into such nested cycles. In the gamelan, this is usually done by gong
Gong
A gong is an East and South East Asian musical percussion instrument that takes the form of a flat metal disc which is hit with a mallet....

s of various sizes: the kempyang, ketuk, kempul
Kempul
A kempul is a type of hanging gong used in Indonesian gamelan. It is often placed with the gong suwukan and gong ageng, hanging on a single rack, at the back of the gamelan, and these instruments are often played by the same player with the same mallets...

, kenong
Kenong
The kenong is one of the instruments used in the Indonesian gamelan. It is technically a kind of gong, but is placed on its side and is roughly as tall as it is wide. It thus is similar to the bonang, kempyang and ketuk, which are also cradled gongs. Kenongs are generally much larger than any of...

, gong suwukan, and gong ageng
Gong ageng
The gong ageng is . It is the largest of the bronze gongs in the Javanese and Balinese gamelan orchestra...

. The fast-playing instruments, kempyang and ketuk
Kempyang and ketuk
The kempyang and ketuk are two instruments in the gamelan, generally played by the same player, and sometimes played by the same player as the kenong. They are important beat-keepers in the colotomic structure of the gamelan. Depending on the structure, they play different, repeating patterns every...

, keep a regular beat. The larger gongs group together these hits into larger groupings, playing once per each grouping. The largest gong, the gong ageng
Gong ageng
The gong ageng is . It is the largest of the bronze gongs in the Javanese and Balinese gamelan orchestra...

, represents the largest time cycle and generally indicates that that section will be repeated, or the piece will move on to a new section.

The details of the rhythmic patterns depend on the colotomic structure , also known as gendhing structure. There are a number of different structures, which differ greatly in length and complexity; however, all of them have some colotomic characteristics.

In the gamelan, the instruments which articulate this structure are sometimes called the colotomic instruments (also interpunctuating instruments or structural instruments). In the system of cipher gamelan notation (kepatihan notation), the colotomic parts are notated as diacritical marks on the numbers used to show the core melody (balungan
Balungan
The balungan is sometimes called the "core melody" of a Javanese gamelan composition. This corresponds to the view that gamelan music is heterophonic: the balungan is then the melody which is being elaborated....

).

Although the term "colotomic" was derived from Indonesian music theory, it can be applied to other musical traditions as well. In particular, it has been used to describe Japanese gagaku
Gagaku
Gagaku is a type of Japanese classical music that has been performed at the Imperial Court in Kyoto for several centuries. It consists of three primary repertoires:#Native Shinto religious music and folk songs and dance, called kuniburi no utamai...

 and Thai piphat
Piphat
A piphat is a kind of ensemble in the classical music of Thailand, which features wind and percussion instruments. It is considered the primary form of ensemble for the interpretation of the most sacred and "high-class" compositions of the Thai classical repertoire, including the Buddhist...

.

Example of a colotomic structure

The lancaran
Lancaran
The lancaran is one of the gendhing structures used in Javanese gamelan music. It is the shortest of the gendhing structures that are not from the wayang repertoire. Gangsaran and bubaran are related structures that share the same colotomic structure.Groupings of four are most common at all levels...

 is a cycle of 16 beats (keteg) in the following order:
TWTN TPTN TPTN TPTG


where T indicates the strike of the ketuk, P the kempul
Kempul
A kempul is a type of hanging gong used in Indonesian gamelan. It is often placed with the gong suwukan and gong ageng, hanging on a single rack, at the back of the gamelan, and these instruments are often played by the same player with the same mallets...

, N the kenong
Kenong
The kenong is one of the instruments used in the Indonesian gamelan. It is technically a kind of gong, but is placed on its side and is roughly as tall as it is wide. It thus is similar to the bonang, kempyang and ketuk, which are also cradled gongs. Kenongs are generally much larger than any of...

, and G the simultaneous stroke of the gong
Gong ageng
The gong ageng is . It is the largest of the bronze gongs in the Javanese and Balinese gamelan orchestra...

 and kenong. The W indicates the wela, the pause where the kempul is omitted. Thus, the gong plays once, the kenong divides that into four parts, the kempul divides each of those in two, and the ketuk divides each of those further in two. Note that except for the kenong playing on the gong, the instruments do not play when the next one plays. (Remember that the gatra
Gatra
A gatra is a unit of melody in Javanese gamelan music, analogous to a measure in Western music. It is often considered the smallest unit of a gamelan composition....

s of gamelan music have the strong beat (seleh
Seleh
The seleh note or nada seleh is a concept used in Javanese gamelan music. It is the final note of a gatra, or four-beat melodic unit.The main underlying melodic structure of a gamelan piece, called the balungan, is grouped into four-beat units...

) at the end, not at the beginning as in Western music. Thus the more important structural instruments coincide with the stressed beats.)

Colotomic structures occur on even larger scales in most gamelan pieces as well. For example, a typical lancaran has four gongs, at the end of which the larger gong ageng is played. Groupings of four are most common at all levels of structure, although there are numerous exceptions at larger levels.

The colotomic structure of a piece is the length of the cycle and how the interpunctuating instruments play during that cycle, but they are also musical form
Musical form
The term musical form refers to the overall structure or plan of a piece of music, and it describes the layout of a composition as divided into sections...

s which are associated with specific structural patterns on a larger scale than the colotomic cycle, and guidelines for what tempi
Tempo
In musical terminology, tempo is the speed or pace of a given piece. Tempo is a crucial element of any musical composition, as it can affect the mood and difficulty of a piece.-Measuring tempo:...

 and irama
Irama
Irama is a concept used in Javanese gamelan music, describing melodic tempo and relationships in density between the balungan, elaborating instruments, and gong structure. It is distinct from tempo , as each irama can be played in different tempi.One way to think of irama is to use the most...

 may be used.

Colotomic structures in Javanese gamelan

Most gendhing in Javanese music conform to one of these structures, except for some special ceremonial pieces and experimental new compositions.

From wayang

From the wayang
Wayang
Wayang is a Javanese word for theatre . When the term is used to refer to kinds of puppet theatre, sometimes the puppet itself is referred to as wayang...

 repertoire, there are three common structures, listed here from shortest to longest:
  • Sampak
    Sampak
    In Javanese gamelan music, the sampak is one of the gendhing structures derived from the wayang repertoire. A sampak often follows a srepeg. It is the fastest of the wayang structures.The colotomic structure is:...

  • Srepeg
    Srepeg
    In Javanese gamelan music, the srepeg is one of the gendhing structures derived from the wayang repertoire.The colotomic structure is:with both lines played together, and T indicating a stroke of the kethuk, P the kempul, and N the kenong. The kenong and kempul always play the seleh.Gongans are of...

  • Ayak-ayakan
    Ayak-ayakan
    In Javanese gamelan music, the ayak-ayakan is one of the gendhing structures derived from the wayang repertoire.The colotomic structure is:with both lines played together, and T indicating a stroke of the kethuk, P the kempul, and N the kenong. The kenong and kempul always play the seleh...



Because wayang was originally performed exclusively in sléndro
Slendro
Slendro is a pentatonic scale, one of the two most common scales used in Indonesian gamelan music, the other being pélog.-Tuning:...

, pélog
Pelog
Pelog is one of the two essential scales of gamelan music native to Bali and Java, in Indonesia. The other scale commonly used is called slendro. Pelog has seven notes, but many gamelan ensembles only have keys for five of the pitches...

 compositions in these structures are usually adaptations. These were originally written for wayang, but now appear in concert pieces.

General repertoire

There are four basic structures, listed from shortest to longest:
  • Lancaran
    Lancaran
    The lancaran is one of the gendhing structures used in Javanese gamelan music. It is the shortest of the gendhing structures that are not from the wayang repertoire. Gangsaran and bubaran are related structures that share the same colotomic structure.Groupings of four are most common at all levels...

  • Ketawang
    Ketawang
    The ketawang is one of the gendhing structures used in Javanese gamelan music.Its colotomic structure is:where p indicates the strike of the kempyang, T the ketuk, P the kempul, N the kenong, and G the simultaneous stroke of the gong and kenong. The W indicates the wela, the pause where the kempul...

  • Ladrang
    Ladrang
    The ladrang is one of the gendhing structures used in Javanese gamelan music.The basic colotomic structure is a cycle of 32 beats in the following order:...

  • Gendhing
    Gendhing
    The gendhing is a class of gendhing structures used in Javanese gamelan music. Gendhing can also be used to refer to gamelan compositions in general....



Note that gendhing can also mean gamelan pieces in general, but also has the specific meaning of a long structure. A single piece will often transition to other forms, especially to a shorter form. It is not unusual to perform a gendhing, a ladrang, a ketawang, and a lancaran, in that order, as a single piece, as long as they are in the same pathet
Pathet
The pathet is an organizing concept in gamelan music. It is difficult to explain, but is similar to the melody types, that is, for example, modes, ragas, or maqamat, of other musics....

.

External links

  • Michael Tenzer
    Michael Tenzer
    Michael Tenzer is a composer, performer, educator and scholar.Tenzer was born in New York City and studied music at Yale University and University of California, Berkeley...

    . Excerpt from Balinese music describing colotomic structures in Balinese music
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