43edo-interval names: Difference between revisions
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{| class="wikitable" | {| class="wikitable" | ||
!Degree | ! Degree | ||
!Cents | ! Cents | ||
![[User:PiotrGrochowski/Extra-Diatonic Intervals|Piotr Grochowski]], [[Extended meantone notation]] (named) | ! [[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 | ||
!Aaron's Answer | ! Aaron's Answer | ||
!SagiSpeak | ! SagiSpeak | ||
!Ups and downs | ! Ups and downs | ||
!Gareth's Go | ! Gareth's Go | ||
!Keenan Category | ! Keenan Category | ||
!Represented Ratios | ! Represented Ratios | ||
|- | |- | ||
|0 | | 0 | ||
|0 | | 0 | ||
| colspan="4" |Unison | | colspan="4" | Unison | ||
| colspan="5" |P1 | | colspan="5" | P1 | ||
|1/1 | | 1/1 | ||
|- | |- | ||
|1 | | 1 | ||
|27.907 | | 27.907 | ||
|high unison, diminished second | | high unison, diminished second | ||
| colspan="3" |Comma | | colspan="3" | Comma | ||
|L1/Nm2 | | L1/Nm2 | ||
|pai-P1, d2 | | pai-P1, d2 | ||
|^1, d2 | | ^1, d2 | ||
| colspan="2" |d2 | | colspan="2" | d2 | ||
|64/63, 81/80 | | 64/63, 81/80 | ||
|- | |- | ||
|2 | | 2 | ||
|55.814 | | 55.814 | ||
|low augmented unison | | low augmented unison | ||
| colspan="2" |Low Subminor 2nd | | colspan="2" | Low Subminor 2nd | ||
|Chromatic Minor 2nd | | Chromatic Minor 2nd | ||
|Sm2 (Small M2) | | Sm2 (Small M2) | ||
|pao-A1, pai-m2 | | pao-A1, pai-m2 | ||
|vA1, ^d2 | | vA1, ^d2 | ||
|*Unicond | | *Unicond | ||
|sA1, Sd2 | | sA1, Sd2 | ||
|33/32 | | 33/32 | ||
|- | |- | ||
|3 | | 3 | ||
|83.721 | | 83.721 | ||
|augmented unison | | augmented unison | ||
| colspan="2" |High Subminor 2nd | | colspan="2" | High Subminor 2nd | ||
|Neutral Minor 2nd | | Neutral Minor 2nd | ||
|m2 | | m2 | ||
|A1, pao-m2 | | A1, pao-m2 | ||
|A1, vm2 | | A1, vm2 | ||
| colspan="2" |A1 | | colspan="2" | A1 | ||
|21/20 | | 21/20 | ||
|- | |- | ||
|4 | | 4 | ||
|111.628 | | 111.628 | ||
| colspan="3" |Minor 2nd | | colspan="3" | Minor 2nd | ||
|Diatonic Minor 2nd | | Diatonic Minor 2nd | ||
|Lm2 | | Lm2 | ||
| colspan="4" |m2 | | colspan="4" | m2 | ||
|17/16, 16/15, 15/14 | | 17/16, 16/15, 15/14 | ||
|- | |- | ||
|5 | | 5 | ||
|139.535 | | 139.535 | ||
|low neutral second | | low neutral second | ||
| colspan="2" |Superminor 2nd | | colspan="2" | Superminor 2nd | ||
|Small Neutral 2nd | | Small Neutral 2nd | ||
|Wm2/NM2 (Narrow M2) | | Wm2/NM2 (Narrow M2) | ||
|pai-m2 | | pai-m2 | ||
|^m2 | | ^m2 | ||
| colspan="2" |Sm2 | | colspan="2" | Sm2 | ||
|12/11, 13/12, 14/13 | | 12/11, 13/12, 14/13 | ||
|- | |- | ||
|6 | | 6 | ||
|167.442 | | 167.442 | ||
|high neutral second | | high neutral second | ||
| colspan="2" |Submajor 2nd | | colspan="2" | Submajor 2nd | ||
|Large Neutral 2nd, Chromatic Major 2nd | | Large Neutral 2nd, Chromatic Major 2nd | ||
|d.SM2 | | d.SM2 | ||
|pao-M2 | | pao-M2 | ||
|vM2 | | vM2 | ||
| colspan="2" |sM2 | | colspan="2" | sM2 | ||
|11/10 | | 11/10 | ||
|- | |- | ||
|7 | | 7 | ||
|195.349 | | 195.349 | ||
| colspan="3" |Major 2nd | | colspan="3" | Major 2nd | ||
|Low Neutral Major 2nd | | Low Neutral Major 2nd | ||
|(S)M2 | | (S)M2 | ||
| colspan="4" |M2 | | colspan="4" | M2 | ||
|9/8, 10/9 | | 9/8, 10/9 | ||
|- | |- | ||
|8 | | 8 | ||
|223.256 | | 223.256 | ||
|high major second, diminished third | | high major second, diminished third | ||
| colspan="2" |Supermajor 2nd | | colspan="2" | Supermajor 2nd | ||
|High Neutral Major 2nd | | High Neutral Major 2nd | ||
|LM2 | | LM2 | ||
|pai-M2, d3 | | pai-M2, d3 | ||
|^M2, d3 | | ^M2, d3 | ||
| colspan="2" |SM2, d3 | | colspan="2" | SM2, d3 | ||
|8/7 | | 8/7 | ||
|- | |- | ||
|9 | | 9 | ||
|251.163 | | 251.163 | ||
|low augmented second, high diminished third | | low augmented second, high diminished third | ||
| colspan="2" |Super 2nd, Sub 3rd | | colspan="2" | Super 2nd, Sub 3rd | ||
|Diatonic Major 2nd, Interseptimal 2nd-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 | | sA2, Sd3 | ||
|15/13 | | 15/13 | ||
|- | |- | ||
|10 | | 10 | ||
|279.07 | | 279.07 | ||
|augmented second, low minor third | | augmented second, low minor third | ||
| colspan="2" |Subminor 3rd | | colspan="2" | Subminor 3rd | ||
|Small Minor 3rd | | Small Minor 3rd | ||
|Sm3 | | Sm3 | ||
|A2, pao-m3 | | A2, pao-m3 | ||
|A2, vm3 | | A2, vm3 | ||
| colspan="2" |sm3. A2 | | colspan="2" | sm3. A2 | ||
|7/6, 13/11 | | 7/6, 13/11 | ||
|- | |- | ||
|11 | | 11 | ||
|306.977 | | 306.977 | ||
| colspan="3" |Minor 3rd | | colspan="3" | Minor 3rd | ||
|Large Minor 3rd | | Large Minor 3rd | ||
|(L)m3 | | (L)m3 | ||
| colspan="4" |m3 | | colspan="4" | m3 | ||
|6/5 | | 6/5 | ||
|- | |- | ||
|12 | | 12 | ||
|334.884 | | 334.884 | ||
|low neutral third | | low neutral third | ||
| colspan="2" |Superminor 3rd | | colspan="2" | Superminor 3rd | ||
|Small Neutral 3rd | | Small Neutral 3rd | ||
|Wm3 | | Wm3 | ||
|pai-m3 | | pai-m3 | ||
|^m3 | | ^m3 | ||
| colspan="2" |Sm3 | | colspan="2" | Sm3 | ||
|17/14, 39/32 | | 17/14, 39/32 | ||
|- | |- | ||
|13 | | 13 | ||
|362.791 | | 362.791 | ||
|high neutral third | | high neutral third | ||
| colspan="2" |Submajor 3rd | | colspan="2" | Submajor 3rd | ||
|Large Neutral 3rd | | Large Neutral 3rd | ||
|NM3 | | NM3 | ||
|pao-M3 | | pao-M3 | ||
|vM3 | | vM3 | ||
| colspan="2" |sM3 | | colspan="2" | sM3 | ||
|11/9, 16/13 | | 11/9, 16/13 | ||
|- | |- | ||
|14 | | 14 | ||
|390.698 | | 390.698 | ||
| colspan="3" |Major 3rd | | colspan="3" | Major 3rd | ||
|Small Major 3rd | | Small Major 3rd | ||
|(S)M3 | | (S)M3 | ||
| colspan="4" |M3 | | colspan="4" | M3 | ||
|5/4 | | 5/4 | ||
|- | |- | ||
|15 | | 15 | ||
|418.605 | | 418.605 | ||
|diminished fourth, high major third | | diminished fourth, high major third | ||
| colspan="2" |Low Supermajor 3rd | | colspan="2" | Low Supermajor 3rd | ||
|Large Major 3rd | | Large Major 3rd | ||
|M.M3/LM3 | | M.M3/LM3 | ||
|d4, pai-M3 | | d4, pai-M3 | ||
|^M3 | | ^M3 | ||
| colspan="2" |SM3, d4 | | colspan="2" | SM3, d4 | ||
|9/7, 14/11 | | 9/7, 14/11 | ||
|- | |- | ||
|16 | | 16 | ||
|446.512 | | 446.512 | ||
|low augmented third, high diminished fourth | | low augmented third, high diminished fourth | ||
| colspan="2" |High Supermajor 3rd | | colspan="2" | High Supermajor 3rd | ||
|Interseptimal 3rd-4th | | 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 | | *Thorth | ||
|sA3, Sd4 | | sA3, Sd4 | ||
|13/10 | | 13/10 | ||
|- | |- | ||
|17 | | 17 | ||
|474.419 | | 474.419 | ||
|augmented third, low fourth | | augmented third, low fourth | ||
| colspan="2" |Sub 4th | | colspan="2" | Sub 4th | ||
|Small Perfect 4th | | Small Perfect 4th | ||
|A3, pao-P4 | | A3, pao-P4 | ||
|A3, v4 | | A3, v4 | ||
| colspan="2" |A3 | | colspan="2" | A3 | ||
|21/16 | | 21/16 | ||
|- | |- | ||
|18 | | 18 | ||
|502.326 | | 502.326 | ||
|fourth | | fourth | ||
| colspan="2" |Perfect 4th | | colspan="2" | Perfect 4th | ||
|Medium Perfect 4th | | Medium Perfect 4th | ||
|P4/L4 | | P4/L4 | ||
| colspan="4" |P4 | | colspan="4" | P4 | ||
|4/3 | | 4/3 | ||
|- | |- | ||
|19 | | 19 | ||
|530.233 | | 530.233 | ||
|high fourth | | high fourth | ||
| colspan="2" |Super 4th | | colspan="2" | Super 4th | ||
|Large Perfect 4th | | Large Perfect 4th | ||
|A.L4 | | A.L4 | ||
|pai-P4 | | pai-P4 | ||
|^4 | | ^4 | ||
| colspan="2" |S4 | | colspan="2" | S4 | ||
|15/11 | | 15/11 | ||
|- | |- | ||
|20 | | 20 | ||
|558.139 | | 558.139 | ||
|low augmented fourth | | low augmented fourth | ||
| colspan="2" |Sub Tritone | | colspan="2" | Sub Tritone | ||
|Small Tritone | | Small Tritone | ||
|NA4/Sd5 | | NA4/Sd5 | ||
|pao-A4 | | pao-A4 | ||
|vA4 | | vA4 | ||
| colspan="2" |sA4 | | colspan="2" | sA4 | ||
|11/8, 18/13 | | 11/8, 18/13 | ||
|- | |- | ||
|21 | | 21 | ||
|586.046 | | 586.046 | ||
|augmented fourth | | augmented fourth | ||
| colspan="2" |Narrow Tritone | | colspan="2" | Narrow Tritone | ||
|Narrow Medium Tritone | | Narrow Medium Tritone | ||
|d5 | | d5 | ||
|pao-d5, A4 | | pao-d5, A4 | ||
|A4, vd5 | | A4, vd5 | ||
| colspan="2" |A4 | | colspan="2" | A4 | ||
|7/5 | | 7/5 | ||
|- | |- | ||
|22 | | 22 | ||
|613.953 | | 613.953 | ||
|diminished fifth | | diminished fifth | ||
| colspan="2" |Wide Tritone | | colspan="2" | Wide Tritone | ||
|Wide Medium Tritone | | Wide Medium Tritone | ||
|A4 | | A4 | ||
|pai-A4, d5 | | pai-A4, d5 | ||
|^A4, d5 | | ^A4, d5 | ||
| colspan="2" |d5 | | colspan="2" | d5 | ||
|10/7 | | 10/7 | ||
|- | |- | ||
|23 | | 23 | ||
|641.86 | | 641.86 | ||
|high diminished fifth | | high diminished fifth | ||
| colspan="2" |Super Tritone | | colspan="2" | Super Tritone | ||
|Large Tritone | | Large Tritone | ||
|La4/Wd5 | | La4/Wd5 | ||
|pai-d5 | | pai-d5 | ||
|^d5 | | ^d5 | ||
| colspan="2" |Sd5 | | colspan="2" | Sd5 | ||
|16/11, 13/9 | | 16/11, 13/9 | ||
|- | |- | ||
|24 | | 24 | ||
|669.767 | | 669.767 | ||
|low fifth | | low fifth | ||
| colspan="2" |Sub 5th | | colspan="2" | Sub 5th | ||
|Small Perfect 5th | | Small Perfect 5th | ||
|d.S5 | | d.S5 | ||
|pao-P5 | | pao-P5 | ||
|v5 | | v5 | ||
| colspan="2" |s5 | | colspan="2" | s5 | ||
|22/15 | | 22/15 | ||
|- | |- | ||
|25 | | 25 | ||
|697.674 | | 697.674 | ||
|fifth | | fifth | ||
| colspan="2" |Perfect 5th | | colspan="2" | Perfect 5th | ||
|Medium Perfect 5th | | Medium Perfect 5th | ||
|S5/P5 | | S5/P5 | ||
| colspan="4" |P5 | | colspan="4" | P5 | ||
|3/2 | | 3/2 | ||
|- | |- | ||
|26 | | 26 | ||
|725.581 | | 725.581 | ||
|diminished sixth, high fifth | | diminished sixth, high fifth | ||
| colspan="2" |Super 5th | | colspan="2" | Super 5th | ||
|Large Perfect 5th | | Large Perfect 5th | ||
| rowspan="2" |L5 | | rowspan="2" | L5 | ||
|d6, pai-P5 | | d6, pai-P5 | ||
|^5 | | ^5 | ||
| colspan="2" |d6 | | colspan="2" | d6 | ||
|32/21 | | 32/21 | ||
|- | |- | ||
|27 | | 27 | ||
|753.488 | | 753.488 | ||
|low augmented fifth, high diminished sixth | | low augmented fifth, high diminished sixth | ||
| colspan="2" |Low Subminor 6th | | colspan="2" | Low Subminor 6th | ||
|Interseptimal 5th-6th | | Interseptimal 5th-6th | ||
|pao-A5, pai-d6 | | pao-A5, pai-d6 | ||
|vA5, ^d6 | | vA5, ^d6 | ||
| | | | ||
|sA5, Sd6 | | sA5, Sd6 | ||
|20/13 | | 20/13 | ||
|- | |- | ||
|28 | | 28 | ||
|781.395 | | 781.395 | ||
|low minor sixth | | low minor sixth | ||
| colspan="2" |High Subminor 6th | | colspan="2" | High Subminor 6th | ||
|Small Minor 6th | | Small Minor 6th | ||
|Sm6/m.m6 | | Sm6/m.m6 | ||
|A5, pao-m6 | | A5, pao-m6 | ||
|vm6 | | vm6 | ||
| colspan="2" |sm6, A5 | | colspan="2" | sm6, A5 | ||
|14/9, 11/7 | | 14/9, 11/7 | ||
|- | |- | ||
|29 | | 29 | ||
|809.302 | | 809.302 | ||
| colspan="3" |Minor 6th | | colspan="3" | Minor 6th | ||
|MediuenMinor 6th | | MediuenMinor 6th | ||
|(L)m6 | | (L)m6 | ||
| colspan="4" |m6 | | colspan="4" | m6 | ||
|8/5 | | 8/5 | ||
|- | |- | ||
|30 | | 30 | ||
|837.209 | | 837.209 | ||
|low neutral sixth | | low neutral sixth | ||
| colspan="2" |Superminor 6th | | colspan="2" | Superminor 6th | ||
|Large Minor 6th | | Large Minor 6th | ||
|Wm6 | | Wm6 | ||
|pai-m6 | | pai-m6 | ||
|^m6 | | ^m6 | ||
| colspan="2" |Sm6 | | colspan="2" | Sm6 | ||
|18/11, 13/8 | | 18/11, 13/8 | ||
|- | |- | ||
|31 | | 31 | ||
|865.116 | | 865.116 | ||
|high neutral sixth | | high neutral sixth | ||
| colspan="2" |Submajor 6th | | colspan="2" | Submajor 6th | ||
|Large Neutral 6th | | Large Neutral 6th | ||
|NM6 | | NM6 | ||
|pao-M6 | | pao-M6 | ||
|vM6 | | vM6 | ||
| colspan="2" |sM6 | | colspan="2" | sM6 | ||
|28\17, 64\39 | | 28\17, 64\39 | ||
|- | |- | ||
|32 | | 32 | ||
|893.023 | | 893.023 | ||
| colspan="3" |Major 6th | | colspan="3" | Major 6th | ||
|Small Major 6th | | Small Major 6th | ||
|(S)M6 | | (S)M6 | ||
| colspan="4" |M6 | | colspan="4" | M6 | ||
|5/3 | | 5/3 | ||
|- | |- | ||
|33 | | 33 | ||
|920.93 | | 920.93 | ||
|high major sixth | | high major sixth | ||
| colspan="2" |Supermajor 6th | | colspan="2" | Supermajor 6th | ||
|Large Major 6th | | Large Major 6th | ||
|LM6 | | LM6 | ||
|pai-M6, d7 | | pai-M6, d7 | ||
|^M6 | | ^M6 | ||
| colspan="2" |SM6, d7 | | colspan="2" | SM6, d7 | ||
|12/7 | | 12/7 | ||
|- | |- | ||
|34 | | 34 | ||
|948.837 | | 948.837 | ||
|low augmented sixth, high diminished seventh | | low augmented sixth, high diminished seventh | ||
| colspan="2" |Super 6th, Sub 7th | | colspan="2" | Super 6th, Sub 7th | ||
|Diatonic Minor 7th, Interseptimal 6th-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 | | sA6, Sd7 | ||
|26/15 | | 26/15 | ||
|- | |- | ||
|35 | | 35 | ||
|976.744 | | 976.744 | ||
|low minor seventh, augmented sixth | | low minor seventh, augmented sixth | ||
| colspan="2" |Subminor 7th | | colspan="2" | Subminor 7th | ||
|Low Neutral Minor 7th | | Low Neutral Minor 7th | ||
|Sm7 | | Sm7 | ||
|pao-m7, A6 | | pao-m7, A6 | ||
|vm7 | | vm7 | ||
| colspan="2" |sm7, A6 | | colspan="2" | sm7, A6 | ||
|7/4 | | 7/4 | ||
|- | |- | ||
|36 | | 36 | ||
|1004.651 | | 1004.651 | ||
| colspan="3" |Minor 7th | | colspan="3" | Minor 7th | ||
|High Neutral Minor 7th | | High Neutral Minor 7th | ||
|(L)m7 | | (L)m7 | ||
| colspan="4" |m7 | | colspan="4" | m7 | ||
|16/9, 9/5 | | 16/9, 9/5 | ||
|- | |- | ||
|37 | | 37 | ||
|1032.558 | | 1032.558 | ||
|low neutral seventh | | low neutral seventh | ||
| colspan="2" |Superminor 7th | | colspan="2" | Superminor 7th | ||
|Chromatic Minor 7th, Small Neutral 7th | | Chromatic Minor 7th, Small Neutral 7th | ||
|A.Lm7 | | A.Lm7 | ||
|pai-m7 | | pai-m7 | ||
|^m7 | | ^m7 | ||
| colspan="2" |Sm7 | | colspan="2" | Sm7 | ||
|20/11 | | 20/11 | ||
|- | |- | ||
|38 | | 38 | ||
|1060.465 | | 1060.465 | ||
|high neutral seventh | | high neutral seventh | ||
| colspan="2" |Submajor 7th | | colspan="2" | Submajor 7th | ||
|Large Neutral 7th | | Large Neutral 7th | ||
|Wm7/NM7 | | Wm7/NM7 | ||
|pao-M7 | | pao-M7 | ||
|vM7 | | vM7 | ||
| colspan="2" |sM7 | | colspan="2" | sM7 | ||
|11/6, 24/13, 13/7 | | 11/6, 24/13, 13/7 | ||
|- | |- | ||
|39 | | 39 | ||
|1088.372 | | 1088.372 | ||
| colspan="3" |Major 7th | | colspan="3" | Major 7th | ||
|Diatonic Major 7th | | Diatonic Major 7th | ||
|SM7 | | SM7 | ||
| colspan="4" |M7 | | colspan="4" | M7 | ||
|15/8, 28/15 | | 15/8, 28/15 | ||
|- | |- | ||
|40 | | 40 | ||
|1116.279 | | 1116.279 | ||
|diminished octave | | diminished octave | ||
| colspan="2" |Low Supermajor 7th | | colspan="2" | Low Supermajor 7th | ||
|Neutral Major 7th | | Neutral Major 7th | ||
|M7 | | M7 | ||
|d8, pai-M7 | | d8, pai-M7 | ||
|^M7 | | ^M7 | ||
| colspan="2" |SM7. d8 | | colspan="2" | SM7. d8 | ||
|40/21 | | 40/21 | ||
|- | |- | ||
|41 | | 41 | ||
|1144.186 | | 1144.186 | ||
|high diminished octave | | high diminished octave | ||
| colspan="2" |High Supermajor 7th | | colspan="2" | High Supermajor 7th | ||
|Chromatic Major 7th | | Chromatic Major 7th | ||
|LM7 | | LM7 | ||
|pai-d8, pao-A7 | | pai-d8, pao-A7 | ||
|vA7, ^d8 | | vA7, ^d8 | ||
|*Septave | | *Septave | ||
|sA7, Sd8 | | sA7, Sd8 | ||
|64/33 | | 64/33 | ||
|- | |- | ||
|42 | | 42 | ||
|1172.093 | | 1172.093 | ||
|low octave, augmented seventh | | low octave, augmented seventh | ||
| colspan="3" |Ultramajor 7th | | colspan="3" | Ultramajor 7th | ||
|S8/WM7 | | S8/WM7 | ||
|pao-P8, A7 | | pao-P8, A7 | ||
|A7, v8 | | A7, v8 | ||
| colspan="2" |A7 | | colspan="2" | A7 | ||
|63/32, 160/81 | | 63/32, 160/81 | ||
|- | |- | ||
|43 | | 43 | ||
|1200 | | 1200 | ||
| colspan="4" |Octave | | colspan="4" | Octave | ||
| colspan="5" |P8 | | colspan="5" | P8 | ||
|2/1 | | 2/1 | ||
|} | <includeonly> | ||
< | {{Navbar table|cols=12|43edo-interval_names}} | ||
</includeonly> | |||
|}<noinclude> | |||
Sagi-Speak, Ups and Downs, and Colours are all great, but are completely new ideas that can be linked to on the pages. Sagi-Speak and Ups are directly linked to the two main options for notation. | <nowiki>*</nowiki> "Serd" and "Sinth" are Portmanteaux of Second and Third; and Sixth and Seventh respectively. These intervals represent exact half Perfect 4ths and Perfect 5ths, and replace the "regular" interval name. I have put them in there to gain functionality at the cost of losing familiarity/introducing novelty in addition to 'HO', the half-octave. My (Gareth's) system at this stage is the same as Dave Keenan's but for the addition of these. I suppose they could just be optional additional names for those steps. I was led to this after not finding any reason to change Dave's system, but not liking that it led to A2/d3 for the 240c interval in 5n-edos, and A6/d7 for the 960c interval. Seems weird. | ||
Sagi-Speak, Ups and Downs, and Colours are all great, but are completely new ideas that can be linked to on the pages. Sagi-Speak and Ups are directly linked to the two main options for notation. | |||
I like Igs' and Dave's systems the best I think. They are very different. Both are 'size' based rather than 'function', but the point of reference for Igs' is 12edo, which would be more familiar to new readers. Dave's uses JI / 72edo alterations two short chains of the edos best fifth - giving the perfect and neutral intervals, so is malleable in its application to edos, and more able to reflect the 'function' of the intervals in an edo. I've added a few functional labels to it. Might be best to have those in brackets. At this stage I would like to see both on every edo page. Igs' has a point that his extra-diatonic names need not or perhaps should not be associated with ratios. Dave's on the other hand benefit from such an association. Perhaps an edo page could start with Igs' in the intervals section without ratios as he first edits, and in the temperament section Dave's names can be included. | I like Igs' and Dave's systems the best I think. They are very different. Both are 'size' based rather than 'function', but the point of reference for Igs' is 12edo, which would be more familiar to new readers. Dave's uses JI / 72edo alterations two short chains of the edos best fifth - giving the perfect and neutral intervals, so is malleable in its application to edos, and more able to reflect the 'function' of the intervals in an edo. I've added a few functional labels to it. Might be best to have those in brackets. At this stage I would like to see both on every edo page. Igs' has a point that his extra-diatonic names need not or perhaps should not be associated with ratios. Dave's on the other hand benefit from such an association. Perhaps an edo page could start with Igs' in the intervals section without ratios as he first edits, and in the temperament section Dave's names can be included. | ||
I've done this for [[72edo-interval names|72edo]] as well. | I've done this for [[72edo-interval names|72edo]] as well. | ||
[[Category:43edo]] | [[Category:43edo]] | ||
[[Category:Tables]] | [[Category:Tables]] | ||
[[Category:Interval naming]] | [[Category:Interval naming]] | ||
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