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43edo-interval names: Difference between revisions

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!Degree
!Degree
!Cents
!Cents
!Aaron's Answer
![[Extra-Diatonic Intervals|Igs' Input]]
![[Extra-Diatonic Intervals|Igs' Input]]
!Kite's Correction
!Kite's Correction
!Keenan Category
!Margo's Method
!Margo's Method
![[User:PiotrGrochowski/Extra-Diatonic Intervals|Piotr Grochowski]], [[Extended meantone notation]] (named)
![[User:PiotrGrochowski/Extra-Diatonic Intervals|Piotr Grochowski]], [[Extended meantone notation]] (named)
!Aaron's Answer
!SagiSpeak
!SagiSpeak
!Ups and downs
!Ups and downs
!Gareth's Go
!Gareth's Go
!Keenan Category
!Represented Ratios
!Represented Ratios
|-
|-
|0
|0
|0
|0
|P1
| colspan="4" |Unison
|Unison
| colspan="5" |P1
|Unison
|P1
|Unison
|unison
|P1
|P1
|P1
|1/1
|1/1
|-
|-
|1
|1
|27.907
|27.907
|m2
|Subminor 2nd
|Subminor 2nd
|Subminor 2nd
|Subminor 2nd
|m2
|Minor 2nd
|Minor 2nd
|high unison, diminished second
|high unison, diminished second
|pai-P1
|L1/Nm2
|pai-P1, d2
|^1, d2
|^1, d2
|m2
| colspan="2" |d2
|64/63, 81/80
|64/63, 81/80
|-
|-
|2
|2
|55.814
|55.814
|NM2 (Narrow M2)
|Neutral 2nd
|Neutral 2nd
|Neutral 2nd
|Neutral 2nd
|M2
|Large Neutral 2nd
|Large Neutral 2nd
|low augmented unison
|low augmented unison
|pao-M2
|Sm2 (Small M2)
|pao-A1, pai-m2
|vA1, ^d2
|vA1, ^d2
|M2
|
|11/10, 12/11, 10/9
|
|33/32
|-
|-
|3
|3
|83.721
|83.721
|LM2
|Supermajor 2nd
|Supermajor 2nd
|Supermajor 2nd
|Supermajor 2nd
|A2/d3
|Large Major 2nd
|Large Major 2nd
|augmented unison
|augmented unison
|M2
|m2
|vm2
|A1, pao-m2
|Serd*
|A1, vm2
|8/7, 7/6, 9/8
| colspan="2" |A1
|21/20
|-
|-
|4
|4
|111.628
|111.628
|Lm3
|Minor 3rd
|Minor 3rd
|Minor 3rd
|Minor 3rd
|m3
|Large Minor 3rd
|Large Minor 3rd
|minor second
|minor second
|pai-m3
|Lm2
|m2
| colspan="4" |m2
|m3
|17/16, 16/15, 15/14
|17/16, 16/15, 15/14
|-
|-
|5
|5
|139.535
|139.535
|M3
|Major 3rd
|Major 3rd
|Major 3rd
|Major 3rd
|M3
|Major 3rd
|Major 3rd
|low neutral second
|low neutral second
|pao-M3
|Wm2/NM2 (Narrow M2)
|pai-m2
|^m2
|^m2
|M3
| colspan="2" |Sm2
|12/11, 13/12, 14/13
|12/11, 13/12, 14/13
|-
|-
|6
|6
|167.442
|167.442
|S4 (Small 4)
|Sub 4th
|Sub 4th
|Sub 4th
|Sub 4th
|P4
|Small Perfect 4th
|Small Perfect 4th
|high neutral second
|high neutral second
|P4
|d.SM2
|pao-M2
|vM2
|vM2
|P4
| colspan="2" |sM2
|11/10
|11/10
|-
|-
|7
|7
|195.349
|195.349
|Na4/Sd5
|Narrow Tritone
|Narrow Tritone
|Super 4th
|Super 4th
|A4
|Small Tritone
|Small Tritone
|major second
|major second
|pai-P4
|(S)M2
|M2
| colspan="4" |M2
|A4
|9/8, 10/9
|9/8, 10/9
|-
|-
|8
|8
|223.256
|223.256
|La4/Wd5
|Wide Tritone
|Wide Tritone
|Sub 5th
|Sub 5th
|d5
|Large Tritone
|Large Tritone
|high major second
|high major second, diminished third
|pao-P5
|LM2
|^M2
|pai-M2, d3
|d5
|^M2, d3
| colspan="2" |SM2, d3
|8/7
|8/7
|-
|-
|9
|9
|251.163
|251.163
|L5
|Super 5th
|Super 5th
|Super 5th
|Super 5th
|P5
|Large Perfect 5th
|Large Perfect 5th
|low augmented second, high diminished third
|low augmented second, high diminished third
|P5
|A.LM2/d.Sm3
|pao-A2, pai-d3
|vA2, ^d3
|vA2, ^d3
|P5
|Serd*
|
|15/13
|15/13
|-
|-
|10
|10
|279.07
|279.07
|m6
|Minor 6th
|Minor 6th
|Minor 6th
|Minor 6th
|m6
|Minor 6th
|Minor 6th
|augmented second, low minor third
|augmented second, low minor third
|pai-m6
|Sm3
|vm3
|A2, pao-m3
|m6
|A2, vm3
| colspan="2" |sm3. A2
|7/6, 13/11
|7/6, 13/11
|-
|-
|11
|11
|306.977
|306.977
|SM6
|Major 6th
|Major 6th
|Major 6th
|Major 6th
|M6
|Small Major 6th
|Small Major 6th
|minor third
|minor third
|pao-M6
|(L)m3
|m3
| colspan="4" |m3
|M6
|6/5
|6/5
|-
|-
|12
|12
|334.884
|334.884
|SM7
|Subminor 7th
|Subminor 7th
|Subminor 7th
|Subminor 7th
|A6/d7
|Small Minor 7th
|Small Minor 7th
|low neutral third
|low neutral third
|m7
|Wm3
|pai-m3
|^m3
|^m3
|Sinth*
| colspan="2" |Sm3
|17/14, 39/32
|17/14, 39/32
|-
|-
|13
|13
|362.791
|362.791
|Wm7
|Neutral 7th
|Neutral 7th
|Neutral 7th
|Neutral 7th
|m7
|Small Neutral 7th
|Small Neutral 7th
|high neutral third
|high neutral third
|pai-m7
|NM3
|pao-M3
|vM3
|vM3
|m7
| colspan="2" |sM3
|11/9, 16/13
|11/9, 16/13
|-
|-
|14
|14
|390.698
|390.698
|M7
|Supermajor 7th
|Supermajor 7th
|Supermajor 7th
|Supermajor 7th
|M7
|Major 7th
|Major 7th
|major third
|major third
|pao-P8
|(S)M3
|M3
| colspan="4" |M3
|M7
|
|5/4
|5/4
|-
|-
|15
|15
|418.605
|418.605
|P8
|
|
|
|
|
|
|
|diminished fourth, high major third
|diminished fourth, high major third
|
|M.M3/LM3
|d4, pai-M3
|^M3
|^M3
|P8
| colspan="2" |SM3, d4
|9/7, 14/11
|9/7, 14/11
|-
|-
|16
|16
|446.512
|446.512
|P1
|Unison
|Unison
|Unison
|Unison
|P1
|Unison
|Unison
|low augmented third, high diminished fourth
|low augmented third, high diminished fourth
|P1
| rowspan="2" |S4 (Small 4)
|pao-A3, pai-d4
|vA3, ^d4
|vA3, ^d4
|P1
|
|
|13/10
|13/10
|-
|-
|17
|17
|474.419
|474.419
|m2
|Subminor 2nd
|Subminor 2nd
|Subminor 2nd
|Subminor 2nd
|m2
|Minor 2nd
|Minor 2nd
|augmented third, low fourth
|augmented third, low fourth
|pai-P1
|A3, pao-P4
|v4
|A3, v4
|m2
| colspan="2" |A3
|21/16
|21/16
|-
|-
|18
|18
|502.326
|502.326
|NM2 (Narrow M2)
|Neutral 2nd
|Neutral 2nd
|Neutral 2nd
|Neutral 2nd
|M2
|Large Neutral 2nd
|Large Neutral 2nd
|fourth
|fourth
|pao-M2
|P4/L4
|P4
| colspan="4" |P4
|M2
|4/3
|4/3
|-
|-
|19
|19
|530.233
|530.233
|LM2
|Supermajor 2nd
|Supermajor 2nd
|Supermajor 2nd
|Supermajor 2nd
|A2/d3
|Large Major 2nd
|Large Major 2nd
|high fourth
|high fourth
|M2
|A.L4
|pai-P4
|^4
|^4
|Serd*
|
|
|15/11
|15/11
|-
|-
|20
|20
|558.139
|558.139
|Lm3
|Minor 3rd
|Minor 3rd
|Minor 3rd
|Minor 3rd
|m3
|Large Minor 3rd
|Large Minor 3rd
|low augmented fourth
|low augmented fourth
|pai-m3
|NA4/Sd5
|pao-A4
|vA4
|vA4
|m3
|
|
|11/8, 18/13
|11/8, 18/13
|-
|-
|21
|21
|586.046
|586.046
|M3
|Major 3rd
|Major 3rd
|Major 3rd
|Major 3rd
|M3
|Major 3rd
|Major 3rd
|augmented fourth
|augmented fourth
|pao-M3
|d5
|pao-d5, A4
|A4, vd5
|A4, vd5
|M3
| colspan="2" |A4
|7/5
|7/5
|-
|-
|22
|22
|613.953
|613.953
|S4 (Small 4)
|Sub 4th
|Sub 4th
|Sub 4th
|Sub 4th
|P4
|Small Perfect 4th
|Small Perfect 4th
|diminished fifth
|diminished fifth
|P4
|A4
|pai-A4, d5
|^A4, d5
|^A4, d5
|P4
| colspan="2" |d5
|10/7
|10/7
|-
|-
|23
|23
|641.86
|641.86
|Na4/Sd5
|Narrow Tritone
|Narrow Tritone
|Super 4th
|Super 4th
|A4
|Small Tritone
|Small Tritone
|high diminished fifth
|high diminished fifth
|pai-P4
|La4/Wd5
|pai-d5
|^d5
|^d5
|A4
|
|
|16/11, 13/9
|16/11, 13/9
|-
|-
|24
|24
|669.767
|669.767
|La4/Wd5
|Wide Tritone
|Wide Tritone
|Sub 5th
|Sub 5th
|d5
|Large Tritone
|Large Tritone
|low fifth
|low fifth
|d.S5
|pao-P5
|pao-P5
|v5
|v5
|d5
|
|
|22/15
|22/15
|-
|-
|25
|25
|697.674
|697.674
|L5
|Super 5th
|Super 5th
|Super 5th
|Super 5th
|P5
|Large Perfect 5th
|Large Perfect 5th
|fifth
|fifth
|P5
|S5/P5
|P5
| colspan="4" |P5
|P5
|
|3/2
|3/2
|-
|-
|26
|26
|725.581
|725.581
|m6
|Minor 6th
|Minor 6th
|Minor 6th
|Minor 6th
|m6
|Minor 6th
|Minor 6th
|diminished sixth, high fifth
|diminished sixth, high fifth
|pai-m6
| rowspan="2" |L5
|d6, pai-P5
|^5
|^5
|m6
| colspan="2" |d6
|32/21
|32/21
|-
|-
|27
|27
|753.488
|753.488
|SM6
|Major 6th
|Major 6th
|Major 6th
|Major 6th
|M6
|Small Major 6th
|Small Major 6th
|augmented fifth, high diminished sixth
|low augmented fifth, high diminished sixth
|pao-M6
|pao-A5, pai-d6
|vA5, ^d6
|vA5, ^d6
|M6
|
|
|20/13
|20/13
|-
|-
|28
|28
|781.395
|781.395
|SM7
|Subminor 7th
|Subminor 7th
|Subminor 7th
|Subminor 7th
|A6/d7
|Small Minor 7th
|Small Minor 7th
|low minor sixth
|low minor sixth
|m7
|Sm6/m.m6
|A5, pao-m6
|vm6
|vm6
|Sinth*
| colspan="2" |sm6, A5
|14/9, 11/7
|14/9, 11/7
|-
|-
|29
|29
|809.302
|809.302
|Wm7
|Neutral 7th
|Neutral 7th
|Neutral 7th
|Neutral 7th
|m7
|Small Neutral 7th
|Small Neutral 7th
|minor sixth
|minor sixth
|pai-m7
|(L)m6
|m6
| colspan="4" |m6
|m7
|8/5
|8/5
|-
|-
|30
|30
|837.209
|837.209
|M7
|Supermajor 7th
|Supermajor 7th
|Supermajor 7th
|Supermajor 7th
|M7
|Major 7th
|Major 7th
|low neutral sixth
|low neutral sixth
|pao-P8
|Wm6
|pai-m6
|^m6
|^m6
|M7
| colspan="2" |Sm6
|18/11, 13/8
|18/11, 13/8
|-
|-
|31
|31
|865.116
|865.116
|P8
|Octave
|Octave
|Octave
|Octave
|P8
|Octave
|Octave
|high neutral sixth
|high neutral sixth
|P8
|NM6
|pao-M6
|vM6
|vM6
|P8
| colspan="2" |sM6
|28\17, 64/39
|28\17, 64\39
|-
|-
|32
|32
|893.023
|893.023
|P1
|Unison
|Unison
|Unison
|Unison
|P1
|Unison
|Unison
|major sixth
|major sixth
|P1
|(S)M6
|M6
| colspan="4" |M6
|P1
|5/3
|5/3
|-
|-
|33
|33
|920.93
|920.93
|m2
|Subminor 2nd
|Subminor 2nd
|Subminor 2nd
|Subminor 2nd
|m2
|Minor 2nd
|Minor 2nd
|high major sixth
|high major sixth
|pai-P1
|LM6
|pai-M6, d7
|^M6
|^M6
|m2
| colspan="2" |SM6, d7
|12/7
|12/7
|-
|-
|34
|34
|948.837
|948.837
|NM2 (Narrow M2)
|Neutral 2nd
|Neutral 2nd
|Neutral 2nd
|Neutral 2nd
|M2
|Large Neutral 2nd
|Large Neutral 2nd
|low augmented sixth, high diminished seventh
|low augmented sixth, high diminished seventh
|pao-M2
|A.LM6/d.Sm7
|pao-A6, pai-d7
|vA6, ^d7
|vA6, ^d7
|M2
|Sinth*
|
|26/15
|26/15
|-
|-
|35
|35
|976.744
|976.744
|LM2
|Supermajor 2nd
|Supermajor 2nd
|Supermajor 2nd
|Supermajor 2nd
|A2/d3
|Large Major 2nd
|Large Major 2nd
|low minor seventh, augmented sixth
|low minor seventh, augmented sixth
|M2
|Sm7
|pao-m7, A6
|vm7
|vm7
|Serd*
| colspan="2" |sm7, A6
|7/4
|7/4
|-
|-
|36
|36
|1004.651
|1004.651
|Lm3
|Minor 3rd
|Minor 3rd
|Minor 3rd
|Minor 3rd
|m3
|Large Minor 3rd
|Large Minor 3rd
|minor seventh
|minor seventh
|pai-m3
|(L)m7
|m7
| colspan="4" |m7
|m3
|16/9, 9/5
|16/9, 9/5
|-
|-
|37
|37
|1032.558
|1032.558
|M3
|Major 3rd
|Major 3rd
|Major 3rd
|Major 3rd
|M3
|Major 3rd
|Major 3rd
|low neutral seventh
|low neutral seventh
|pao-M3
|A.Lm7
|pai-m7
|^m7
|^m7
|M3
| colspan="2" |Sm7
|
|20/11
|20/11
|-
|-
|38
|38
|1060.465
|1060.465
|S4 (Small 4)
|Sub 4th
|Sub 4th
|Sub 4th
|Sub 4th
|P4
|Small Perfect 4th
|Small Perfect 4th
|high neutral seventh
|high neutral seventh
|P4
|Wm7/NM7
|pao-M7
|vM7
|vM7
|P4
| colspan="2" |sM7
|11/6, 24/13, 13/7
|11/6, 24/13, 13/7
|-
|-
|39
|39
|1088.372
|1088.372
|Na4/Sd5
|Narrow Tritone
|Narrow Tritone
|Super 4th
|Super 4th
|A4
|Small Tritone
|Small Tritone
|major seventh
|major seventh
|pai-P4
|SM7
|M7
| colspan="4" |M7
|A4
|15/8, 28/15
|15/8, 28/15
|-
|-
|40
|40
|1116.279
|1116.279
|La4/Wd5
|Wide Tritone
|Wide Tritone
|Sub 5th
|Sub 5th
|d5
|Large Tritone
|Large Tritone
|diminished octave
|diminished octave
|pao-P5
|M7
|d8, pai-M7
|^M7
|^M7
|d5
| colspan="2" |SM7. d8
|16/11, 10/7
|40/21
|-
|-
|41
|41
|1144.186
|1144.186
|L5
|Super 5th
|Super 5th
|Super 5th
|Super 5th
|P5
|Large Perfect 5th
|Large Perfect 5th
|high diminished octave
|high diminished octave
|P5
|LM7
|pai-d8, pao-A7
|vA7, ^d8
|vA7, ^d8
|P5
|
|3/2, 14/9, 32/21
|
|64/33
|-
|-
|42
|42
|1172.093
|1172.093
|m6
|Minor 6th
|Minor 6th
|Minor 6th
|Minor 6th
|m6
|Minor 6th
|Minor 6th
|low octave, augmented seventh
|low octave, augmented seventh
|pai-m6
|S8/WM7
|pao-P8, A7
|A7, v8
|A7, v8
|m6
| colspan="2" |A7
|63/32, 160/81
|63/32, 160/81
|-
|-
|43
|43
|1200
|1200
|SM6
| colspan="4" |Octave
|Octave
| colspan="5" |P8
|Octave
|P8
|Octave
|octave
|P8
|P8
|P8
|2/1
|2/1
|}
|}
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