Homothetic just intonation
Homothetic just intonation is an operation for extended just intonation pitches conceived by Sui-hin Mak in July 2019. It aims at producing the pitches in between notes of an existing JI pitch collection.
31-tone homothetic just scale generated by 11-limit JI:
| frequency ratio | cents value | names |
|---|---|---|
| 1/1 | 0 | unison |
| 546/517 | 94.484004 | |
| 241/220 | 156.835547 | |
| 243/220 | 172.143348 | |
| 2213/1980 | 192.603625 | |
| 1981/1748 | 216.628435 | |
| 97/84 | 249.114503 | semifourth |
| 569/480 | 294.473096 | |
| 1201/990 | ||
| 977/792 | ||
| 1223/968 | ||
| 281/220 | ||
| 573/437 | ||
| 511/376 | ||
| 1107/800 | ||
| 99/70 | ||
| 159/110 | ||
| 761/517 | ||
| 6001/3933 | ||
| 1973/1260 | ||
| 1219/770 | ||
| 981/605 | ||
| 399/242 | ||
| 27/16 | ||
| 97/56 | semitwelve | |
| 3085/1748 | ||
| 4429/2475 | ||
| 2191/1210 | ||
| 241/132 | ||
| 535/282 | ||
| 2/1 | 1200 | octave |
Links
- Homothetic Just Intonation by Sui-hin Mak