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43edo-interval names: Difference between revisions

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Line 2: Line 2:
!Degree
!Degree
!Cents
!Cents
![[User:PiotrGrochowski/Extra-Diatonic Intervals|Piotr Grochowski]], [[Extended meantone notation]] (named)
![[Extra-Diatonic Intervals|Igs' Input]]
![[Extra-Diatonic Intervals|Igs' Input]]
!Kite's Correction
!Kite's Correction
!Margo's Method
!Margo's Method
![[User:PiotrGrochowski/Extra-Diatonic Intervals|Piotr Grochowski]], [[Extended meantone notation]] (named)
!Aaron's Answer
!Aaron's Answer
!SagiSpeak
!SagiSpeak
Line 21: Line 21:
|1
|1
|27.907
|27.907
|Subminor 2nd
|Subminor 2nd
|Minor 2nd
|high unison, diminished second
|high unison, diminished second
| colspan="3" |Comma
|L1/Nm2
|L1/Nm2
|pai-P1, d2
|pai-P1, d2
Line 33: Line 31:
|2
|2
|55.814
|55.814
|Neutral 2nd
|Neutral 2nd
|Large Neutral 2nd
|low augmented unison
|low augmented unison
| colspan="2" |Low Subminor 2nd
|Chromatic Minor 2nd
|Sm2 (Small M2)
|Sm2 (Small M2)
|pao-A1, pai-m2
|pao-A1, pai-m2
|vA1, ^d2
|vA1, ^d2
|
|*Unicond
|
|sA1, Sd2
|33/32
|33/32
|-
|-
|3
|3
|83.721
|83.721
|Supermajor 2nd
|Supermajor 2nd
|Large Major 2nd
|augmented unison
|augmented unison
| colspan="2" |High Subminor 2nd
|Neutral Minor 2nd
|m2
|m2
|A1, pao-m2
|A1, pao-m2
Line 58: Line 54:
|4
|4
|111.628
|111.628
|Minor 3rd
| colspan="3" |Minor 2nd
|Minor 3rd
|Diatonic Minor 2nd
|Large Minor 3rd
|minor second
|Lm2
|Lm2
| colspan="4" |m2
| colspan="4" |m2
Line 68: Line 62:
|5
|5
|139.535
|139.535
|Major 3rd
|Major 3rd
|Major 3rd
|low neutral second
|low neutral second
| colspan="2" |Superminor 2nd
|Small Neutral 2nd
|Wm2/NM2 (Narrow M2)
|Wm2/NM2 (Narrow M2)
|pai-m2
|pai-m2
Line 80: Line 73:
|6
|6
|167.442
|167.442
|Sub 4th
|Sub 4th
|Small Perfect 4th
|high neutral second
|high neutral second
| colspan="2" |Submajor 2nd
|Large Neutral 2nd, Chromatic Major 2nd
|d.SM2
|d.SM2
|pao-M2
|pao-M2
Line 92: Line 84:
|7
|7
|195.349
|195.349
|Narrow Tritone
| colspan="3" |Major 2nd
|Super 4th
|Low Neutral Major 2nd
|Small Tritone
|major second
|(S)M2
|(S)M2
| colspan="4" |M2
| colspan="4" |M2
Line 102: Line 92:
|8
|8
|223.256
|223.256
|Wide Tritone
|Sub 5th
|Large Tritone
|high major second, diminished third
|high major second, diminished third
| colspan="2" |Supermajor 2nd
|High Neutral Major 2nd
|LM2
|LM2
|pai-M2, d3
|pai-M2, d3
Line 114: Line 103:
|9
|9
|251.163
|251.163
|Super 5th
|Super 5th
|Large Perfect 5th
|low augmented second, high diminished third
|low augmented second, high diminished third
| colspan="2" |Super 2nd, Sub 3rd
|Diatonic Major 2nd, Interseptimal 2nd-3rd
|A.LM2/d.Sm3
|A.LM2/d.Sm3
|pao-A2, pai-d3
|pao-A2, pai-d3
|vA2, ^d3
|vA2, ^d3
|Serd*
|Serd*
|
|sA2, Sd3
|15/13
|15/13
|-
|-
|10
|10
|279.07
|279.07
|Minor 6th
|Minor 6th
|Minor 6th
|augmented second, low minor third
|augmented second, low minor third
| colspan="2" |Subminor 3rd
|Small Minor 3rd
|Sm3
|Sm3
|A2, pao-m3
|A2, pao-m3
Line 139: Line 126:
|11
|11
|306.977
|306.977
|Major 6th
| colspan="3" |Minor 3rd
|Major 6th
|Large Minor 3rd
|Small Major 6th
|minor third
|(L)m3
|(L)m3
| colspan="4" |m3
| colspan="4" |m3
Line 149: Line 134:
|12
|12
|334.884
|334.884
|Subminor 7th
|Subminor 7th
|Small Minor 7th
|low neutral third
|low neutral third
| colspan="2" |Superminor 3rd
|Small Neutral 3rd
|Wm3
|Wm3
|pai-m3
|pai-m3
Line 161: Line 145:
|13
|13
|362.791
|362.791
|Neutral 7th
|Neutral 7th
|Small Neutral 7th
|high neutral third
|high neutral third
| colspan="2" |Submajor 3rd
|Large Neutral 3rd
|NM3
|NM3
|pao-M3
|pao-M3
Line 173: Line 156:
|14
|14
|390.698
|390.698
|Supermajor 7th
| colspan="3" |Major 3rd
|Supermajor 7th
|Small Major 3rd
|Major 7th
|major third
|(S)M3
|(S)M3
| colspan="4" |M3
| colspan="4" |M3
Line 183: Line 164:
|15
|15
|418.605
|418.605
|
|
|
|diminished fourth, high major third
|diminished fourth, high major third
| colspan="2" |Low Supermajor 3rd
|Large Major 3rd
|M.M3/LM3
|M.M3/LM3
|d4, pai-M3
|d4, pai-M3
Line 195: Line 175:
|16
|16
|446.512
|446.512
|Unison
|Unison
|Unison
|low augmented third, high diminished fourth
|low augmented third, high diminished fourth
| colspan="2" |High Supermajor 3rd
|Interseptimal 3rd-4th
| rowspan="2" |S4 (Small 4)
| rowspan="2" |S4 (Small 4)
|pao-A3, pai-d4
|pao-A3, pai-d4
|vA3, ^d4
|vA3, ^d4
|
|*Thorth
|
|sA3, Sd4
|13/10
|13/10
|-
|-
|17
|17
|474.419
|474.419
|Subminor 2nd
|Subminor 2nd
|Minor 2nd
|augmented third, low fourth
|augmented third, low fourth
| colspan="2" |Sub 4th
|Small Perfect 4th
|A3, pao-P4
|A3, pao-P4
|A3, v4
|A3, v4
Line 219: Line 197:
|18
|18
|502.326
|502.326
|Neutral 2nd
|Neutral 2nd
|Large Neutral 2nd
|fourth
|fourth
| colspan="2" |Perfect 4th
|Medium Perfect 4th
|P4/L4
|P4/L4
| colspan="4" |P4
| colspan="4" |P4
Line 229: Line 206:
|19
|19
|530.233
|530.233
|Supermajor 2nd
|Supermajor 2nd
|Large Major 2nd
|high fourth
|high fourth
| colspan="2" |Super 4th
|Large Perfect 4th
|A.L4
|A.L4
|pai-P4
|pai-P4
|^4
|^4
|
| colspan="2" |S4
|
|15/11
|15/11
|-
|-
|20
|20
|558.139
|558.139
|Minor 3rd
|Minor 3rd
|Large Minor 3rd
|low augmented fourth
|low augmented fourth
| colspan="2" |Sub Tritone
|Small Tritone
|NA4/Sd5
|NA4/Sd5
|pao-A4
|pao-A4
|vA4
|vA4
|
| colspan="2" |sA4
|
|11/8, 18/13
|11/8, 18/13
|-
|-
|21
|21
|586.046
|586.046
|Major 3rd
|Major 3rd
|Major 3rd
|augmented fourth
|augmented fourth
| colspan="2" |Narrow Tritone
|Narrow Medium Tritone
|d5
|d5
|pao-d5, A4
|pao-d5, A4
Line 267: Line 239:
|22
|22
|613.953
|613.953
|Sub 4th
|Sub 4th
|Small Perfect 4th
|diminished fifth
|diminished fifth
| colspan="2" |Wide Tritone
|Wide Medium Tritone
|A4
|A4
|pai-A4, d5
|pai-A4, d5
Line 279: Line 250:
|23
|23
|641.86
|641.86
|Narrow Tritone
|Super 4th
|Small Tritone
|high diminished fifth
|high diminished fifth
| colspan="2" |Super Tritone
|Large Tritone
|La4/Wd5
|La4/Wd5
|pai-d5
|pai-d5
|^d5
|^d5
|
| colspan="2" |Sd5
|
|16/11, 13/9
|16/11, 13/9
|-
|-
|24
|24
|669.767
|669.767
|Wide Tritone
|Sub 5th
|Large Tritone
|low fifth
|low fifth
| colspan="2" |Sub 5th
|Small Perfect 5th
|d.S5
|d.S5
|pao-P5
|pao-P5
|v5
|v5
|
| colspan="2" |s5
|
|22/15
|22/15
|-
|-
|25
|25
|697.674
|697.674
|Super 5th
|Super 5th
|Large Perfect 5th
|fifth
|fifth
| colspan="2" |Perfect 5th
|Medium Perfect 5th
|S5/P5
|S5/P5
| colspan="4" |P5
| colspan="4" |P5
Line 315: Line 281:
|26
|26
|725.581
|725.581
|Minor 6th
|Minor 6th
|Minor 6th
|diminished sixth, high fifth
|diminished sixth, high fifth
| colspan="2" |Super 5th
|Large Perfect 5th
| rowspan="2" |L5
| rowspan="2" |L5
|d6, pai-P5
|d6, pai-P5
Line 327: Line 292:
|27
|27
|753.488
|753.488
|Major 6th
|Major 6th
|Small Major 6th
|low augmented fifth, high diminished sixth
|low augmented fifth, high diminished sixth
| colspan="2" |Low Subminor 6th
|Interseptimal 5th-6th
|pao-A5, pai-d6
|pao-A5, pai-d6
|vA5, ^d6
|vA5, ^d6
|
|
|
|sA5, Sd6
|20/13
|20/13
|-
|-
|28
|28
|781.395
|781.395
|Subminor 7th
|Subminor 7th
|Small Minor 7th
|low minor sixth
|low minor sixth
| colspan="2" |High Subminor 6th
|Small Minor 6th
|Sm6/m.m6
|Sm6/m.m6
|A5, pao-m6
|A5, pao-m6
Line 351: Line 314:
|29
|29
|809.302
|809.302
|Neutral 7th
| colspan="3" |Minor 6th
|Neutral 7th
|MediuenMinor 6th
|Small Neutral 7th
|minor sixth
|(L)m6
|(L)m6
| colspan="4" |m6
| colspan="4" |m6
Line 361: Line 322:
|30
|30
|837.209
|837.209
|Supermajor 7th
|Supermajor 7th
|Major 7th
|low neutral sixth
|low neutral sixth
| colspan="2" |Superminor 6th
|Large Minor 6th
|Wm6
|Wm6
|pai-m6
|pai-m6
Line 373: Line 333:
|31
|31
|865.116
|865.116
|Octave
|Octave
|Octave
|high neutral sixth
|high neutral sixth
| colspan="2" |Submajor 6th
|Large Neutral 6th
|NM6
|NM6
|pao-M6
|pao-M6
Line 385: Line 344:
|32
|32
|893.023
|893.023
|Unison
| colspan="3" |Major 6th
|Unison
|Small Major 6th
|Unison
|major sixth
|(S)M6
|(S)M6
| colspan="4" |M6
| colspan="4" |M6
Line 395: Line 352:
|33
|33
|920.93
|920.93
|Subminor 2nd
|Subminor 2nd
|Minor 2nd
|high major sixth
|high major sixth
| colspan="2" |Supermajor 6th
|Large Major 6th
|LM6
|LM6
|pai-M6, d7
|pai-M6, d7
Line 407: Line 363:
|34
|34
|948.837
|948.837
|Neutral 2nd
|Neutral 2nd
|Large Neutral 2nd
|low augmented sixth, high diminished seventh
|low augmented sixth, high diminished seventh
| colspan="2" |Super 6th, Sub 7th
|Diatonic Minor 7th, Interseptimal 6th-7th
|A.LM6/d.Sm7
|A.LM6/d.Sm7
|pao-A6, pai-d7
|pao-A6, pai-d7
|vA6, ^d7
|vA6, ^d7
|Sinth*
|Sinth*
|
|sA6, Sd7
|26/15
|26/15
|-
|-
|35
|35
|976.744
|976.744
|Supermajor 2nd
|Supermajor 2nd
|Large Major 2nd
|low minor seventh, augmented sixth
|low minor seventh, augmented sixth
| colspan="2" |Subminor 7th
|Low Neutral Minor 7th
|Sm7
|Sm7
|pao-m7, A6
|pao-m7, A6
Line 432: Line 386:
|36
|36
|1004.651
|1004.651
|Minor 3rd
| colspan="3" |Minor 7th
|Minor 3rd
|High Neutral Minor 7th
|Large Minor 3rd
|minor seventh
|(L)m7
|(L)m7
| colspan="4" |m7
| colspan="4" |m7
Line 442: Line 394:
|37
|37
|1032.558
|1032.558
|Major 3rd
|Major 3rd
|Major 3rd
|low neutral seventh
|low neutral seventh
| colspan="2" |Superminor 7th
|Chromatic Minor 7th, Small Neutral 7th
|A.Lm7
|A.Lm7
|pai-m7
|pai-m7
Line 454: Line 405:
|38
|38
|1060.465
|1060.465
|Sub 4th
|Sub 4th
|Small Perfect 4th
|high neutral seventh
|high neutral seventh
| colspan="2" |Submajor 7th
|Large Neutral 7th
|Wm7/NM7
|Wm7/NM7
|pao-M7
|pao-M7
Line 466: Line 416:
|39
|39
|1088.372
|1088.372
|Narrow Tritone
| colspan="3" |Major 7th
|Super 4th
|Diatonic Major 7th
|Small Tritone
|major seventh
|SM7
|SM7
| colspan="4" |M7
| colspan="4" |M7
Line 476: Line 424:
|40
|40
|1116.279
|1116.279
|Wide Tritone
|Sub 5th
|Large Tritone
|diminished octave
|diminished octave
| colspan="2" |Low Supermajor 7th
|Neutral Major 7th
|M7
|M7
|d8, pai-M7
|d8, pai-M7
Line 488: Line 435:
|41
|41
|1144.186
|1144.186
|Super 5th
|Super 5th
|Large Perfect 5th
|high diminished octave
|high diminished octave
| colspan="2" |High Supermajor 7th
|Chromatic Major 7th
|LM7
|LM7
|pai-d8, pao-A7
|pai-d8, pao-A7
|vA7, ^d8
|vA7, ^d8
|
|*Septave
|
|sA7, Sd8
|64/33
|64/33
|-
|-
|42
|42
|1172.093
|1172.093
|Minor 6th
|Minor 6th
|Minor 6th
|low octave, augmented seventh
|low octave, augmented seventh
| colspan="3" |Ultramajor 7th
|S8/WM7
|S8/WM7
|pao-P8, A7
|pao-P8, A7
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