Homothetic just intonation: Difference between revisions

@@ Line 1: / Line 1: @@
-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.
+Homothetic just intonation is a kind of extended [[just intonation]] conceived by Sui-hin Mak. The term 'homothetic' refers to the [[wikipedia:Homothetic_center#Computing_homothetic_centers|homothetic formula]]. It aims at producing the pitches in between notes of an existing JI pitch collection.
 -tone homothetic just scale generated by 11-limit JI:
@@ Line 41: / Line 41: @@
 |-
 |1201/990
-|
+|334.482865
 |
 |-
 |977/792
-|
+|363.429758
 |
 |-
 |1223/968
-|
+|404.814542
 |
 |-
 |281/220
-|
+|423.679928
 |
 |-
 |573/437
-|
+|469.082231
 |
 |-
 |511/376
-|
+|531.108755
 |
 |-
 |1107/800
-|
+|562.299980
 |
 |-
 |99/70
-|
+|600.088324
 |
 |-
 |159/110
-|
+|637.827890
 |
 |-
 |761/517
-|
+|669.278608
 |
 |-
 |6001/3933
-|
+|731.487292
 |
 |-
 |1973/1260
-|
+|776.360667
 |
 |-
 |1219/770
-|
+|795.321330
 |
 |-
 |981/605
-|
+|836.781593
 |
 |-
 |399/242
-|
+|865.658039
 |
 |-
 |[[27/16]]
-|
+|905.865003
 |
 |-
 |97/56
-|
+|951.069504
 |semitwelve
 |-
 |3085/1748
-|
+|983.478365
 |
 |-
 |4429/2475
-|
+|1007.462966
 |
 |-
 |2191/1210
-|
+|1027.898924
 |
 |-
 |241/132
-|
+|1042.194260
 |
 |-
 |535/282
-|
+|1108.612475
 |
 |-