The Humdrum **koto Representation

Craig Stuart Sapp and Sachiko Deguchi
Version: 19 August 2003
  1. String Related Codes
  2. Rhythm Related Codes
  3. Playing Technique Related Codes
  4. Vocal Codes
  5. **kern Related Codes
  6. Related Humdrum Representations
  7. Programs which can Process **koto Data
  8. **koto Symbol Dictionary

Introduction

Instrument and Background

The Japanese koto is a thirteen-string harp-like instrument related to the modern Chinese zheng (which usually has 21 strings) as well as to the Korean kayagum (with 12 strings). The body of a koto is about 183 cm (six feet) long, 24 cm (ten inches) wide, and is made of paulowina wood. The strings of the koto are traditionally made of silk but are now commonly made of synthetic fiber which is more durable. A moveable bridge for each string allows the strings to be tuned to any pitch, although the standard practice is to have high pitches closer to the performer and low pitches further from the performer. The right hand plucks the strings with plectrums attached to the thumb and first two fingers. Other right-hand techniques include scraping the edges of the plectrums along the strings, striking the strings with the plectrum, and plucking the strings with the other fingers without a plectrum. The left hand is used to change the pitch of the strings by pressing the strings on the opposite side of the bridges to raise the pitch in various types of ornamentation.

Introduced to Japanese court music (gagaku) in the 7-8th centuries from China, the koto was popularized as a solo instrument by the blind musician Yatsuhashi Kengyo (1614-1685) in the seventeenth century. Yatsuhashi learned the Tsukushi-goto style of koto playing created by the Buddhist priest Kenjun (1547-1636), but developed the string tunings hira-choshi (tranquil tuning) and kumoi-choshi which are still the two main tunings used in solo koto music.

The two of the main schools (ryu) of koto playing are Ikuta and Yamada. The Ikuta playing style was founded by Ikuta Kengyo (1666-1716) by merging koto and shamisen musical traditions and had an original following in the Osaka area. The Yamada school was developed by Yamada Kengyoo (1757-1817), a student of the Ikuta school, in the late eighteenth century and developed as an incorporation of the shamisen styles of Tokyo. Ikuta-school plectrums have square tip ends and are played diagonally on the pointed edge. Yamada-school plectrums are pointed at the tip and are played perpendicular to the strings.

Music notation of the Ikuta and Yamada schools are slightly different, with writing direction being the main difference. Both traditions notate pitches by string number rather than by pitch, since the strings can have several temperaments. Ikuta school music is written from the top down and from right to left, while Yamada school music is written from left to right and from the top down. The rhythm is notated with Western-music style beams in Yamada notation, while Ikuta notation rhythm is indicated with different methods, but usually indicates a beat with a box around the notes for the beat and sometimes uses Western-style beaming groups.

The Yamada school notation is used for the developing the music encoding in the Humdrum format described in this article, although the encoding system is also suitable for encoding Ikuta notated music. The following example score for Sakura, Sakura (Cherry Blossom) which shows the music for koto in the Yamada notation style along with the equivalent Western music notation underneath. Each number indicates a string, with `A' = string 10, `B' = string 11, `C' = string 12, and `D' = string 13. In both Ikuta and Yamada scores, Chinese numbers are used; however, Arabic numerals are used here for people not familiar with Chinese numbers. Click here to listen to a recording of a koto performance of this piece.

Digital Scores

Representing koto music on the computer for analysis can be done in Western music notation, but there are distinct advantages to encoding koto music in the original tablature format:
  1. Koto performers are used to performing with string numbers rather than actual pitches. This is due in part to the fact that there are several tunings for the koto, and the pitch of each string can be different in each composition.
  2. The notation of ornaments is clearer in koto tablature and not standardized in Western music notation. For example the sha arpeggio takes place on two adjacent strings. If the sha arpeggio starts on the first string, the arpeggio goes down in pitch, while on other strings, it rises in pitch.
  3. There is not a one-to-one mapping of pitches to strings. Strings 1 and 5 usually have the same pitch. Strings can be raised in pitch up to three half-steps, which could coincide with the next string.
  4. String resonances are more easy to calculate. For example, in measure three of Sakura, Sakura, the strings 7, 8, 9, 8 are played in sequence. When string 8 is plucked on beat 2, the plectrum is brought to rest on string 7 which is then muted. Likewise, string 8 is muted when string 9 is played on beat 3. But when string 8 is played on the fourth beat of the measure, string 9 is still resonating and forms a chord with string 8.

The Humdrum file format was chosen as a base for encoding koto tablature for computer analysis. The Humdrum file format allows users to create their own data formats for musical or non-musical information and is well-suited to encoding non-Western musical information. This article describes a data format for encoding traditional koto musical notation in the Humdrum **koto data format.

The Humdrum Toolkit has many analytical programs for processing data in the Humdrum file format. In addition, several programs were specifically written to work with the **koto data format described in this article.

The following example gives the **koto encoding of Sakura, Sakura. Compare the encoding to the notate score above. Barlines are encoded as equal signs `=' with the bar number following the equal sign. String numbers are encoded as numbers/letters and the rhythms are encoded with beams (`|') and plus signs (`+') for durations longer than one quarter note.

1. String Related Codes

Non-pitch codes:

2. Rhythm Related Codes

3. Playing Technique Related Codes

There are numerous playing techniques incidated in koto scores. In particular, the left hand is used to play many pitch ornaments by pushing down or pulling the string on the opposite side of the bridge. The composition Rokudan no shirabe by Yatsuhashi Kengyo is an etude which introduces many of these techniques to the koto student. Here are the opening measures of Rokudan in traditional notation and Western notation. The mark above the 5 in measure 1 indicates a hiki-iro where the string is pulled by the left hand to gradually lower the pitch of the string about a half-tone.

!!!OTL@@JA: Rokudan no shirabe
!!!OTL@EN: Six-part Composition
**koto
*tune[d:G:A:B-:d:e-:g:a:b-:dd:ee-:gg:aa]
*M4/4
{5+i
-
3
1s
=2
0}
{3|sb
3|sc
8|.
7||
6|
7|o


=3
1c
5|.
4||
3}
{1s
=4
9
8|
7|
8|.
7||
6|
7|o
*-

4. Vocal Codes

5. **kern Related Codes

Recognized Interpretations

6. Related Humdrum Representations

7. Programs which can process **koto data

8. **koto Symbol Dictionary