15edo/Interval names: Difference between revisions

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! [http://forum.sagittal.org/viewforum.php?f=9 SagiSpeak]
! [http://forum.sagittal.org/viewforum.php?f=9 SagiSpeak]
! [[User:PiotrGrochowski/Ups and Downs Notation-a|ups and downs]]
! [[User:PiotrGrochowski/Ups and Downs Notation-a|ups and downs]]
! Gareth's Go
! [[User:Gareth.hearne/Extra-Diatonic Intervals|Gareth's Go]]
!Extra-diatonic 2
! ratios
! ratios
|-
|-
Line 28: Line 27:
| P1, m2
| P1, m2
| P1
| P1
|P1
| [[1/1]]
| [[1/1]]
|-
|-
Line 41: Line 39:
| pai-P1
| pai-P1
| ^1, ^m2
| ^1, ^m2
| m2
| S1/Sm2
|S1
| [[25/24]], [[21/20]], [[16/15]]
| [[25/24]], [[21/20]], [[16/15]]
|-
|-
Line 55: Line 52:
| pao-M2
| pao-M2
| vM2
| vM2
| M2
| sM2
|sM2
| [[11/10]], [[12/11]], [[10/9]]
| [[11/10]], [[12/11]], [[10/9]]
|-
|-
Line 69: Line 65:
| M2
| M2
| M2, m3
| M2, m3
| Serd*
| M2/m3
|M2, m3 (Serd)
| [[8/7]], [[7/6]], [[9/8]]
| [[8/7]], [[7/6]], [[9/8]]
|-
|-
Line 83: Line 78:
| pai-m3
| pai-m3
| ^m3
| ^m3
| m3
|Sm3
|Sm3
| [[6/5]], [[11/9]]
| [[6/5]], [[11/9]]
Line 97: Line 91:
| pao-M3
| pao-M3
| vM3
| vM3
| M3
|sM3
|sM3
| [[5/4]], [[14/11]]
| [[5/4]], [[14/11]]
Line 112: Line 105:
| M3, P4, d5
| M3, P4, d5
| P4
| P4
|M3, P4 (Thourth)
| [[4/3]], [[9/7]], [[21/16]]
| [[4/3]], [[9/7]], [[21/16]]
|-
|-
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| pai-P4
| pai-P4
| ^4, ^d5
| ^4, ^d5
| A4
|S4
|S4
| [[11/8]], [[7/5]]
| [[11/8]], [[7/5]]
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| pao-P5
| pao-P5
| vA4, v5
| vA4, v5
| d5
|s5
|s5
| [[16/11]], [[10/7]]
| [[16/11]], [[10/7]]
Line 154: Line 144:
| A4, P5, m6
| A4, P5, m6
| P5
| P5
|P5, m6 (Fixth)
| [[3/2]], [[14/9]], [[32/21]]
| [[3/2]], [[14/9]], [[32/21]]
|-
|-
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| pai-m6
| pai-m6
| ^5, ^m6
| ^5, ^m6
| m6
|Sm6
|Sm6
| [[8/5]], [[11/7]]
| [[8/5]], [[11/7]]
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| pao-M6
| pao-M6
| vA5, vM6
| vA5, vM6
| M6
|sM6
|sM6
| [[5/3]], [[18/11]]
| [[5/3]], [[18/11]]
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| m7
| m7
| M6, m7
| M6, m7
| Sinth*
|M6/m7
|M6, m7 (Sinth)
| [[7/4]], [[12/7]], [[16/9]]
| [[7/4]], [[12/7]], [[16/9]]
|-
|-
Line 209: Line 195:
| pai-m7
| pai-m7
| ^m7
| ^m7
| m7
|Sm7
|Sm7
| [[20/11]], [[11/6]], [[9/5]]
| [[20/11]], [[11/6]], [[9/5]]
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| pao-P8
| pao-P8
| vM7, v8
| vM7, v8
| M7
|sM7/s8
|sM7
| [[48/25]], [[40/21]], [[15/8]]
| [[48/25]], [[40/21]], [[15/8]]
|-
|-
Line 238: Line 222:
| M7, P8
| M7, P8
| P8
| P8
|P8
| [[2/1]]
| [[2/1]]
|}
|}
<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.
I've done this for [[72edo-interval names|72edo]] as well.<sup> [author: Gareth.hearne ([[User_talk:Gareth.hearne|talk]])]</sup>
<br>and Piotr did it for [[43edo-interval names|43edo]]

Revision as of 03:59, 14 October 2018

If you haven't made an interval naming system yet, make one and add a column when you finish your notation system!

steps cents Aaron's Answer Igs' Input Kite's Correction Keenan Category Margo's Method Piotr Grochowski SagiSpeak ups and downs Gareth's Go ratios
0 0 P1 Unison Unison P1 Unison unison P1 P1, m2 P1 1/1
1 80 m2 Subminor 2nd Subminor 2nd m2 Minor 2nd augmented unison pai-P1 ^1, ^m2 S1/Sm2 25/24, 21/20, 16/15
2 160 NM2 (Narrow M2) Neutral 2nd Neutral 2nd M2 Large Neutral 2nd high neutral second pao-M2 vM2 sM2 11/10, 12/11, 10/9
3 240 LM2 Supermajor 2nd Supermajor 2nd A2/d3 Large Major 2nd second–third M2 M2, m3 M2/m3 8/7, 7/6, 9/8
4 320 Lm3 Minor 3rd Minor 3rd m3 Large Minor 3rd minor third pai-m3 ^m3 Sm3 6/5, 11/9
5 400 M3 Major 3rd Major 3rd M3 Major 3rd major third pao-M3 vM3 sM3 5/4, 14/11
6 480 S4 (Small 4) Sub 4th Sub 4th P4 Small Perfect 4th low fourth P4 M3, P4, d5 P4 4/3, 9/7, 21/16
7 560 Na4/Sd5 Narrow Tritone Super 4th A4 Small Tritone low augmented fourth pai-P4 ^4, ^d5 S4 11/8, 7/5
8 640 La4/Wd5 Wide Tritone Sub 5th d5 Large Tritone high diminished fifth pao-P5 vA4, v5 s5 16/11, 10/7
9 720 L5 Super 5th Super 5th P5 Large Perfect 5th high fifth P5 A4, P5, m6 P5 3/2, 14/9, 32/21
10 800 m6 Minor 6th Minor 6th m6 Minor 6th minor sixth pai-m6 ^5, ^m6 Sm6 8/5, 11/7
11 880 SM6 Major 6th Major 6th M6 Small Major 6th major sixth pao-M6 vA5, vM6 sM6 5/3, 18/11
12 960 SM7 Subminor 7th Subminor 7th A6/d7 Small Minor 7th sixth–seventh m7 M6, m7 M6/m7 7/4, 12/7, 16/9
13 1040 Wm7 Neutral 7th Neutral 7th m7 Small Neutral 7th low neutral seventh pai-m7 ^m7 Sm7 20/11, 11/6, 9/5
14 1120 M7 Supermajor 7th Supermajor 7th M7 Major 7th diminished octave pao-P8 vM7, v8 sM7/s8 48/25, 40/21, 15/8
15 1200 P8 Octave Octave P8 Octave octave P8 M7, P8 P8 2/1
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