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FKH Extended-diatonic Interval Names: Difference between revisions

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P1 S1 1-2 Km2 kM2 2-3 Km3 kM3 3-4 s4 P4 S4 s5 P5 S5 5-6 Km6 kM6 6-7 Km7 kM7 7-8 s8 P8, from which we can see it is a Barbados tuning.
P1 S1 1-2 Km2 kM2 2-3 Km3 kM3 3-4 s4 P4 S4 s5 P5 S5 5-6 Km6 kM6 6-7 Km7 kM7 7-8 s8 P8, from which we can see it is a Barbados tuning.


== TUSKIN Extended-diatonic interval names ==
== TUSK-INtervals ==
Alternatively, we use letters as accidentals. Like Sagittal, they can be applied anywhere-ish, apart from neutrals and intermediates. (?)
'''T'''ridecimal - 1053/1024, via T/t = turnt/tanked (greater/lesser tridecimal middle)
 
'''U'''ndecimal - 99/98, via U/u = up/under
 
'''S'''eptimal - 64/63 via S/s = super/sub
 
'''K'''lassisch - 81/80 via K/k = kommma-wide/komma-narrow
 
|
 
'''I'''ntermediate - 2ed-Limma, 40/39 ~ 416/405
 
'''N'''eutral - 2ed-Apotome, 33/32 ~ 729/704
 
15 odd-limit:
 
3/2 - P5, 5/4 - kM3, 7/4 - sm7, 9/8 - M2, 11/8 - hA4 or sud5 13/8 - Tm6, 15/8 - kM7
 
5/3 - kM6, 7/6 - sm3, 11/6 - N7 or su8, 13/12 - Tm2
 
7/5 - sKd5, 11/10 - KN2 or sKud3, 9/5 - Km7, 13/10 - 3-4 or kTd4
 
9/7 - SM3, 11/7 - um6 or shA5, 13/7 - STm7, 15/14 - SkA1
 
11/9 - N3 or su4, 13/9 - Td5,
 
* k shifts 81/80, the syntonic comma, for classic or comma-wide/comma-narrow, to get 5/4
* k shifts 81/80, the syntonic comma, for classic or comma-wide/comma-narrow, to get 5/4
* s shifts 64/63, for septimal or super/sub, to get 9/7
* s shifts 64/63, for septimal or super/sub, to get 9/7
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