15edo: Difference between revisions
m →JI approximation: -> approximation to JI |
m →Other scales: formatting, added a couple scales |
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=== MOS scales === | === MOS scales === | ||
* Augmented[6]: | * Augmented[6]: 4 1 4 1 4 1 | ||
* Triforce[6]: | * Triforce[6]: 3 2 3 2 3 2 | ||
* Porcupine[7]: | * Porcupine[7]: 3 2 2 2 2 2 2 | ||
* Hanson/Keemun/Orgone[7]: | * Hanson/Keemun/Orgone[7]: 1 3 1 3 1 3 3 | ||
* Porcupine[8]: | * Porcupine[8]: 2 1 2 2 2 2 2 2 | ||
* Augmented[9]: | * Augmented[9]: 3 1 1 3 1 1 3 1 1 | ||
* Triforce[9]: | * Triforce[9]: 2 1 2 2 1 2 2 1 2 | ||
* Blackwood[10]: | * Blackwood[10]: 2 1 2 1 2 1 2 1 2 1 (Blackwood Decatonic) | ||
* Hanson/Keemun/Orgone[11]: | * Hanson/Keemun/Orgone[11]: 1 2 1 1 2 1 1 2 1 2 1 | ||
* Augmented[12]: | * Augmented[12]: 2 1 1 1 2 1 1 1 2 1 1 1 | ||
=== Other scales === | === Other scales === | ||
* Zarlino/Ptolemy diatonic, "just" major, Ma grama | * Zarlino/Ptolemy diatonic, "just" major, Ma grama: 3 2 1 3 2 3 1 | ||
* inverse of Zarlino/Ptolemy diatonic, natural minor | * inverse of Zarlino/Ptolemy diatonic, natural minor: 3 1 2 3 1 3 2 | ||
* tetrachordal major, Sa grama | * tetrachordal major, Sa grama: 3 2 1 3 3 2 1 | ||
* inverse of tetrachordal major, "just"/tetrachordal minor | * inverse of tetrachordal major, "just"/tetrachordal minor: 3 1 2 3 1 2 3 | ||
* "just" major pentatonic | * "just" major pentatonic: 3 2 4 2 4 | ||
* "just" minor pentatonic (inverse of "just" major pentatonic) | * "just" minor pentatonic (inverse of "just" major pentatonic): 4 2 3 4 2 | ||
* Porcupine bright major #7 - Porcupine[7] 6|0 #7 | * Porcupine bright major #7 (Porcupine harmonic major) - Porcupine[7] 6|0 #7: 3 2 2 2 2 3 1 | ||
* Porcupine bright major #6 #7 - Porcupine[7] 6|0 #7 | * Porcupine bright major #6 #7 (Porcupine melodic major) - Porcupine[7] 6|0 #7: 3 2 2 2 3 2 1 | ||
* Porcupine bright minor #2 - Porcupine[7] 4|2 #2 | * Porcupine bright minor #2 (Porcupine harmonic minor) - Porcupine[7] 4|2 #2: 3 1 3 2 2 2 2 (mode of bright major #7) | ||
* Porcupine dark minor #2 - Porcupine[7] 3|3 #2 | * Porcupine dark minor #2 (Porcupine melodic minor) - Porcupine[7] 3|3 #2: 3 1 2 3 2 2 2 (inverse of bright major #6 #7) | ||
* Porcupine bright harmonic 11th mode - Porcupine[7] 6|0 b7 | * Porcupine bright harmonic 11th mode - Porcupine[7] 6|0 b7: 3 2 2 2 2 1 3 | ||
* "just" harmonic minor | * [[The Pinetone System#Pinetone harmonic diminished octatonic|Pinetone diminished octatonic]] / Porcupine[8] bright minor #2 - Porcupine[8] 2|5 #5: 2 2 1 3 1 2 2 2 | ||
* "just" harmonic major | * "just" harmonic minor: 3 1 2 3 1 4 1 | ||
* "just" melodic minor ascending | * "just" harmonic major: 3 2 1 3 1 4 1 | ||
* [[Marvel double harmonic major]] | * "just" melodic minor ascending: 3 1 2 3 2 3 1 | ||
* enharmonic trichord octave species | *[[Marvel double harmonic major]] : 1 4 1 3 1 4 1 | ||
* chromatic tetrachord octave species | * Marvel double harmonic nonatonic (Augmented[9] MODMOS): 1 3 1 1 3 1 3 1 1, 1 1 3 1 3 1 1 3 1 | ||
* [[Chopsticks]] double octave scale | * enharmonic trichord octave species: 1 5 3 1 5 , 5 1 3 5 1 | ||
* chromatic tetrachord octave species: 1 1 4 3 1 1 4, 4 1 1 3 4 1 1, 1 4 1 3 1 4 1 | |||
*[[Chopsticks]] double octave scale: 4 2 4 2 4 2 4 2 4 2 | |||
* [[5- to 10-tone scales in zeta stretched 15edo]] | * [[5- to 10-tone scales in zeta stretched 15edo]] | ||