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FKH Extended-diatonic Interval Names: Difference between revisions

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#Perfect
#Perfect
#Major, minor, A4 and d5.
#Major, minor, A4 and d5.
#Neutrals
#'S', 's', 'K', 'K', 'SK' and 'sk' prefixes to tier 1-2 intervals
#'S', 's', 'K', 'K', 'SK' and 'sk' prefixes to major, minor, perfect intervals and to A4 and d5
#Neutrals (including hAs and hds)
#hAs and hds
#'S', 's', 'K', 'K', 'SK' and 'sk' prefixes to tier 4 intervals
#Intermediates
#Intermediates
#Remaining augmented and diminished intervals
#Remaining augmented and diminished intervals
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53edo: P1 K1/S1 1-2 sm2 m2 Km2 SKm2 skM2 sM2 M2 SM2 2-3 sm3 m3 Km3 SKm3 skM3 kM3 M3 SM3 3-4 s4 P4 K4 SK4 skA4 kA4 Kd5 SKd5 SA4/sk5 k5 P5 S5 5-6 sm6 m6 Km6 SKm6 skM6 sM6 M6 SM6 6-7 sm7 m7 Km7 SKm7 skM7 kM7 M7 SM7 7-8 k8/s8 P8
53edo: P1 K1/S1 1-2 sm2 m2 Km2 SKm2 skM2 sM2 M2 SM2 2-3 sm3 m3 Km3 SKm3 skM3 kM3 M3 SM3 3-4 s4 P4 K4 SK4 skA4 kA4 Kd5 SKd5 SA4/sk5 k5 P5 S5 5-6 sm6 m6 Km6 SKm6 skM6 sM6 M6 SM6 6-7 sm7 m7 Km7 SKm7 skM7 kM7 M7 SM7 7-8 k8/s8 P8


72edo may also be given 'functional names' by allowing application of 'komma-wide' and 'komma-narrow' to the neutrals and in the other direction for M, m, A and d. Regular 'wide' and 'narrow' function-less prefixes may be used alternatively. For application to the neutrals, 'k' and 'K' give associations with ratios that are not too complex.
72edo: P1 K1 S1 hA1 sm2 nm2 m2 Km2 kN2 N2 KN2 kM2 M2 WM2 SM2 2-3 sm3 nm3 m3 Km3 kN3 N3 KN3 kM3 M3 WM3 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 nm7 m7 Km7 kN7 N7 KN7 kM7 M7 WM7 SM7 hd8 s8 k8 P8
 
72edo: P1 K1 S1 hA1 sm2 km2 m2 Km2 kN2 N2 KN2 kM2 M2 KM2 SM2 2-3 sm3 nm3 m3 Km3 kN3 N3 KN3 kM3 M3 KM3 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 KM6 SM6 6-7 sm7 km7 m7 Km7 kN7 N7 KN7 kM7 M7 KM7 SM7 hd8 s8 k8 P8


We can see that
We can see that
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|-
|-
|1
|1
|comma-wide unison/super unison
|comma-wide unison/super unison, comma-narrow hemi-augmented unison
|K1/S1
|K1/S1, khA1
|29.27
|29.27
|[[81/80]], 64/63
|[[81/80]], 64/63, 55/54
|-
|-
|2
|2
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|-
|-
|3
|3
|minor second
|minor second, comma-wide hemi-augmented unison
|m2
|m2
|87.80
|87.80
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|-
|-
|4
|4
|classic minor second, augmented unison
|classic minor second, comma-narrow neutral second, augmented unison
|Km2, A1
|Km2, kN2, A1
|117.07
|117.07
|[[16/15]], [[15/14]]
|[[16/15]], [[15/14]]
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|-
|-
|6
|6
|classic major second, diminished third
|classic major second, comma-wide neutral second, diminished third
|kM2, d3
|kM2, KN2, d3
|175.61
|175.61
|[[10/9]], [[11/10]]
|[[10/9]], [[11/10]]
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|-
|-
|11
|11
|classic minor third, augmented second
|classic minor third, comma-narrow neural third, augmented second
|Km3, A2
|Km3, kN3, A2
|321.95
|321.95
|[[6/5]]
|[[6/5]]
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|-
|-
|13
|13
|classic major third, diminished fourth
|classic major third, comma-high neutral third, diminished fourth
|kM3, d4
|kM3, KN3, d4
|380.49
|380.49
|[[5/4]]
|[[5/4]]
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|-
|-
|18
|18
|comma-wide fourth, augmented third
|comma-wide fourth, comma-narrow hemi-augmented fourth, augmented third
|K4, A3
|K4, khA4, A3
|526.83
|526.83
|[[15/11]], [[27/20]]
|[[15/11]], [[27/20]]
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|-
|-
|20
|20
|classic augmented fourth, diminished fifth
|classic augmented fourth, diminished fifth, comma-wide hemi-augmented fourth
|kA4, d5
|kA4, d5
|585.37
|585.37
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|-
|-
|21
|21
|classic diminished fifth, augmented fourth
|classic diminished fifth, augmented fourth, comma-narrow hemi-diminished fifth
|Kd5, A4
|Kd5, A4
|614.63
|614.63
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|22
|22
|hemi-diminished fifth
|hemi-diminished fifth
|h5
|hd5
|643.90
|643.90
|[[16/11]]
|[[16/11]]
|-
|-
|23
|23
|comma-narrow fifth, diminished sixth
|comma-narrow fifth, comma-wide hemi-diminished fifth, diminished sixth
|k5, d6
|k5, Khd5 d6
|673.17
|673.17
|[[22/15]], [[40/27]]
|[[22/15]], [[40/27]]
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|-
|-
|28
|28
|classic minor sixth, augmented fifth
|classic minor sixth, comma-narrow neutral sixth, augmented fifth
|Km6, A5
|Km6, kN6, A5
|819.51
|819.51
|[[8/5]]
|[[8/5]]
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|-
|-
|30
|30
|classic major sixth, diminished seventh
|classic major sixth, comma-wide neutral sixth, diminished seventh
|kM6, d7
|kM6, KN6, d7
|878.05
|878.05
|[[5/3]]
|[[5/3]]
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|-
|-
|35
|35
|classic minor seventh, augmented sixth
|classic minor seventh, comma-narrow neutral seventh, augmented sixth
|Km7, A6
|Km7, kN7, A6
|1024.39
|1024.39
|[[9/5]], [[20/11]]
|[[9/5]], [[20/11]]
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|-
|-
|37
|37
|classic major seventh, diminished octave
|classic major seventh, comma-wide neutral seventh, diminished octave
|kM7, d8
|kM7, KN7, d8
|1082.93
|1082.93
|[[15/8]]
|[[15/8]]
|-
|-
|38
|38
|major seventh
|major seventh, comma-narrow hemi-diminished octave
|M7
|M7
|1112.20
|1112.20
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|-
|-
|40
|40
|comma-narrow octave/sub octave
|comma-narrow octave/sub octave, comma-wide hemi-diminished octave
|k8/s8
|k8/s8, Khd8
|1170.73
|1170.73
|[[160/81]], 63/32
|[[160/81]], 63/32, 108/55
|-
|-
|41
|41
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