FKH Extended-diatonic Interval Names: Difference between revisions

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26edo: P1 S1 sm2 m2 M2 SM2 sm3 m3 M3 SM3 s4 P4 A4 SA4/sd5 d5 P5 S5 sm6 m6 M6 SM6 sm7 m7 M7 SM7 s8 P8

27edo: P1 m2 N1 N2 kM2 M2 m3 Km3 N3 kM3 M3 P4 N4 skA4/Kd5 kA4/SKd5 N5 P5 m6 Km6 N6 kM6 M6 m7 Km7 N7 N8 M7 P8

27edo: P1 m2 hA1 N2 kM2 M2 m3 Km3 N3 kM3 M3 P4 hA4 skA4/Kd5 kA4/SKd5 hd5 P5 m6 Km6 N6 kM6 M6 m7 Km7 N7 hd8 M7 P8

29edo: P1 K1/S1/sm2 m2 Km2 kM2 M2 SM2/sm3 m3 Km3 kM3 M3 SM3/s4 P4 K4 kA4/d5 A4/Kd5 k5 P5 S5/sm6 m6 Km6 kM6 M6 SM6/sm7 m7 Km7 kM7 M7 SM7/S8/k8 P8

Line 1,162:

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.

~~== TUSK-INtervals ==~~

~~'''T'''ridecimal - 1053/1024, via T/t = turnt/tanked (greater/lesser tridecimal middle)~~

~~'''U'''ndecimal - 896/891, 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 sud8, 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 sud4, 13/9 - Td5,~~

~~13/11 - Thd3 or TSUM2, 15/11 - khA4 or SkUA3~~

~~15/13 - 2-3 or kM7 - Tm6 = tkA2~~

~~well... it's possible! Neutrals and intermediates certainly help, when you look at the other options for some things...~~

* 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

* u shifts 99/98, for undecimal or up/under, to get 14/11

* t shifts 1053/1024, the tridecimal major dieses, for tridecimal or turnt/tanked or tall/tiny, to get 16/13

* Could also read tM3 as 'greater tridecimal middle 3rd', and Tm3 is 'lesser tridecimal middle third'

~~27edo: P1 m2 N1 N2 kM2 M2 m3 Km3 N3 kM3 M3 P4 N4 TK4 tk5 N5 P5 m6 Km6 N6 kM6 M6 m7 Km7 N7 N8 M7 P8~~

~~37edo: P1 m2 Wm2 Km2 N2 kM2 nM2 M2 m3 Wm3 Km3 N3 kM3 nM3 M3 P4 WP4 KP4 hA4 hd5 kP5 nP5 P5 m6 Wm6 Km6 N6 kM6 nM6 M6 m7 Wm7 Km7 N7 kM7 nM7 M7 P8~~

~~43edo: P1 S1 1-2 sm2 m2 Tm2 tM2 M2 SM2 2-3 sm3 m3 Tm3 tM3 M3 SM3 3-4 s4 P4 S4 T4 A4 d5 T5 s5 P5 S5 5-6 sm6 m6 Tm6 tM6 M6 SM6 6-7 sm7 m7 Tm7 tM7 M7 SM7 7-8 s8 P8~~

~~46edo: P1 K1/S1 sm2 m2 Km2 Tm2 tM2 sM2 M2 SM2 sm3 m3 Km3 Tm3 tM3 kM3 M3 SM3 s4 P4 K4 T4 tA4/d5 kA4/Kd5 A4/Td5 SA4/t5 k5 P5 S5 sm6 m6 Km6 Tm6 tM6 sM6 M6 SM6 sm7 m7 Km7 Tm7 tM7 kM7 M7 SM7 k8/s8 P8~~

~~50edo: P1 U1/T1 S1 sm2 um2 m2 Tm2 tM2 M2 UM2 SM2 sm3 um3 m3 Tm3 tM3 M3 UM3 SM3 s4 t4 P4 T4 S4 A4 TA4/td5 d5 s5 t5 P5 T5 S5 sm6 um6 m6 Tm6 tM6 M6 UM6 SM6 sm7 um7 m7 Tm7 tM7 M7 UM7 SM7 s8 u8/t8 P8~~

53edo: P1 K1/S1 1-2 sm2 m2 Km2 Tm2 tM2 kM2 M2 SM2 2-3 sm3 m3 Km3 Tm3 tM3 kM3 M3 SM3 3-4 s4 P4 K4 T4 tA4 kA4 Kd5 Td5 t5 k5 P5 S5 5-6 sm6 m6 Km6 Tm6 tM6 kM6 M6 SM6 6-7 sm7 m7 Km7 Tm7 tM7 kM7 M7 SM7 7-8 k8/s8 P8

72edo: P1 K1 S1 hA1 sm2 um2 m2 Km2 kN2 N2 KN2 kM2 M2 UM2 SM2 2-3 sm3 um3 m3 Km3 kN3 N3 KN3 kM3 M3 UM3 SM3 3-4 s4 k4 P4 K4 S4 hA4 KhA4 kA4 A4/d5 Kd5 khd5 hd5 s5 k5 P5 K5 S5 5-6 sm6 nm6 m6 Cm6 kN6 N6 KN6 kM6 M6 WM6 SM6 6-7 sm7 um7 m7 Km7 kN7 N7 KN7 kM7 M7 UM7 SM7 hd8 s8 k8 P8

~~80edo: P1 S1 K1 nsm2 sm2 m2 Wm2 km2 _ Tm2 tM2 _ kM2 nM2 M2 SM2 _ _ sm3 m3 Wm3 Km3 _ Tm3 tM3 _ kM3 nM3 M3 SM3~~

94edo: P1 U1 K1/S1 WS1 nsm2 sm2 um2 m2 Wm2 Km2 _ Tm2 tM2 _ kM2 nM2 M2 UM2 SM2 WSM2 nsm3 sm3 um3 m3 Wm3 Km3 _ Tm3 tM3 _ kM3 nM3 M3 UM3 SM3 WSM3 ns4 s4 u4 P4 W4 K4 _ T4 sd5 ud5 kA4/d5 _ A4/Kd5 UA4 SA4 t5 _k5 n5 P5

@@ Line 178: / Line 178: @@
 edo: P1 S1 sm2 m2 M2 SM2 sm3 m3 M3 SM3 s4 P4 A4 SA4/sd5 d5 P5 S5 sm6 m6 M6 SM6 sm7 m7 M7 SM7 s8 P8
-edo: P1 m2 N1 N2 kM2 M2 m3 Km3 N3 kM3 M3 P4 N4 skA4/Kd5 kA4/SKd5 N5 P5 m6 Km6 N6 kM6 M6 m7 Km7 N7 N8 M7 P8
+edo: P1 m2 hA1 N2 kM2 M2 m3 Km3 N3 kM3 M3 P4 hA4 skA4/Kd5 kA4/SKd5 hd5 P5 m6 Km6 N6 kM6 M6 m7 Km7 N7 hd8 M7 P8
 edo: P1 K1/S1/sm2 m2 Km2 kM2 M2 SM2/sm3 m3 Km3 kM3 M3 SM3/s4 P4 K4 kA4/d5 A4/Kd5 k5 P5 S5/sm6 m6 Km6 kM6 M6 SM6/sm7 m7 Km7 kM7 M7 SM7/S8/k8 P8
@@ Line 1,162: / Line 1,162: @@
 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.
-== TUSK-INtervals ==
-'''T'''ridecimal - 1053/1024, via T/t = turnt/tanked (greater/lesser tridecimal middle)
-'''U'''ndecimal - 896/891, 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
-odd-limit:
-/2 - P5, 5/4 - kM3, 7/4 - sm7, 9/8 - M2, 11/8 - hA4 or sud5 13/8 - Tm6, 15/8 - kM7
-/3 - kM6, 7/6 - sm3, 11/6 - N7 or sud8, 13/12 - Tm2
-/5 - sKd5, 11/10 - KN2 or sKud3, 9/5 - Km7, 13/10 - 3-4 or kTd4
-/7 - SM3, 11/7 - um6 or shA5, 13/7 - STm7, 15/14 - SkA1
-/9 - N3 or sud4, 13/9 - Td5,
-/11 - Thd3 or TSUM2, 15/11 - khA4 or SkUA3
-/13 - 2-3 or kM7 - Tm6 = tkA2
-well... it's possible! Neutrals and intermediates certainly help, when you look at the other options for some things...
-* 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
-* u shifts 99/98, for undecimal or up/under, to get 14/11
-* t shifts 1053/1024, the tridecimal major dieses, for tridecimal or turnt/tanked or tall/tiny, to get 16/13
-* Could also read tM3 as 'greater tridecimal middle 3rd', and Tm3 is 'lesser tridecimal middle third'
-edo: P1 m2 N1 N2 kM2 M2 m3 Km3 N3 kM3 M3 P4 N4 TK4 tk5 N5 P5 m6 Km6 N6 kM6 M6 m7 Km7 N7 N8 M7 P8
-edo: P1 m2 Wm2 Km2 N2 kM2 nM2 M2 m3 Wm3 Km3 N3 kM3 nM3 M3 P4 WP4 KP4 hA4 hd5 kP5 nP5 P5 m6 Wm6 Km6 N6 kM6 nM6 M6 m7 Wm7 Km7 N7 kM7 nM7 M7 P8
-edo: P1 S1 1-2 sm2 m2 Tm2 tM2 M2 SM2 2-3 sm3 m3 Tm3 tM3 M3 SM3 3-4 s4 P4 S4 T4 A4 d5 T5 s5 P5 S5 5-6 sm6 m6 Tm6 tM6 M6 SM6 6-7 sm7 m7 Tm7 tM7 M7 SM7 7-8 s8 P8
-edo: P1 K1/S1 sm2 m2 Km2 Tm2 tM2 sM2 M2 SM2 sm3 m3 Km3 Tm3 tM3 kM3 M3 SM3 s4 P4 K4 T4 tA4/d5 kA4/Kd5 A4/Td5 SA4/t5 k5 P5 S5 sm6 m6 Km6 Tm6 tM6 sM6 M6 SM6 sm7 m7 Km7 Tm7 tM7 kM7 M7 SM7 k8/s8 P8
-edo: P1 U1/T1 S1 sm2 um2 m2 Tm2 tM2 M2 UM2 SM2 sm3 um3 m3 Tm3 tM3 M3 UM3 SM3 s4 t4 P4 T4 S4 A4 TA4/td5 d5 s5 t5 P5 T5 S5 sm6 um6 m6 Tm6 tM6 M6 UM6 SM6 sm7 um7 m7 Tm7 tM7 M7 UM7 SM7 s8 u8/t8 P8
-edo: P1 K1/S1 1-2 sm2 m2 Km2 Tm2 tM2 kM2 M2 SM2 2-3 sm3 m3 Km3 Tm3 tM3 kM3 M3 SM3 3-4 s4 P4 K4 T4 tA4 kA4 Kd5 Td5 t5 k5 P5 S5 5-6 sm6 m6 Km6 Tm6 tM6 kM6 M6 SM6 6-7 sm7 m7 Km7 Tm7 tM7 kM7 M7 SM7 7-8 k8/s8 P8
-edo: P1 K1 S1 hA1 sm2 um2 m2 Km2 kN2 N2 KN2 kM2 M2 UM2 SM2 2-3 sm3 um3 m3 Km3 kN3 N3 KN3 kM3 M3 UM3 SM3 3-4 s4 k4 P4 K4 S4 hA4 KhA4 kA4 A4/d5 Kd5 khd5 hd5 s5 k5 P5 K5 S5 5-6 sm6 nm6 m6 Cm6 kN6 N6 KN6 kM6 M6 WM6 SM6 6-7 sm7 um7 m7 Km7 kN7 N7 KN7 kM7 M7 UM7 SM7 hd8 s8 k8 P8
-edo: P1 S1 K1 nsm2 sm2 m2 Wm2 km2 _ Tm2 tM2 _ kM2 nM2 M2 SM2 _ _ sm3 m3 Wm3 Km3 _ Tm3 tM3 _ kM3 nM3 M3 SM3
-edo: P1 U1 K1/S1 WS1 nsm2 sm2 um2 m2 Wm2 Km2 _ Tm2 tM2 _ kM2 nM2 M2 UM2 SM2 WSM2 nsm3 sm3 um3 m3 Wm3 Km3 _ Tm3 tM3 _ kM3 nM3 M3 UM3 SM3 WSM3 ns4 s4 u4 P4 W4 K4 _ T4 sd5 ud5 kA4/d5 _ A4/Kd5 UA4 SA4 t5 _k5 n5 P5