15edo/Interval names: Difference between revisions

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|LM2
|LM2
|M2
|M2
|Serd
|Serd*
|8/7, 7/6, 9/8
|8/7, 7/6, 9/8
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|6
|6
|480
|480
|Perfect / Sub 4th
|Sub 4th
|P4
|P4
|w4
|w4
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|SM7
|SM7
|m7
|m7
|Sith
|Sinth*
|7/4, 12/7, 16/9
|7/4, 12/7, 16/9
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|2/1
|2/1
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<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 like Igs' and Dave's systems the best I think. They are very different.

Revision as of 16:04, 28 September 2018

Degree Cents Igs' Input Keenan Category Kite's Colours Margo's Method SagiSpeak Aaron's Answer Ups and a-downs Gareth's Go Represented Ratios
0 0 Unison P1 w1 Unison P1 P1 P1 P1 1/1
1 80 Subminor 2nd m2 g2 Minor 2nd pai-P1 m2 ^P1 m2 25/24, 21/20, 16/15
2 160 Neutral 2nd M2 y2 Large Neutral 2nd pao-M2 NM2 (Narrow M2) vM2 M2 11/10, 12/11, 10/9
3 240 Supermajor 2nd A2/d3 w2 Large Major 2nd M2 LM2 M2 Serd* 8/7, 7/6, 9/8
4 320 Minor 3rd m3 g3 Large Minor 3rd pai-m3 Lm3 ^m3 m3 6/5, 11/9
5 400 Major 3rd M3 y3 Major 3rd pao-M3 M3 vM3 M3 5/4, 14/11
6 480 Sub 4th P4 w4 Small Perfect 4th P4 S4 (Small 4) P4 P4 4/3, 9/7, 21/16
7 560 Narrow Tritone A4 zg5 Small Tritone pai-P4 Na4/Sd5 ^P4 A4 11/8, 7/5
8 640 Wide Tritone d5 ry4 Large Tritone pao-P5 La4/Wd5 vP5 d5 16/11, 10/7
9 720 Perfect / Super 5th P5 w5 Large Perfect 5th P5 L5 P5 P5 3/2, 14/9, 32/21
10 800 Minor 6th m6 g6 Minor 6th pai-m6 m6 ^m6 m6 8/5, 11/7
11 880 Major 6th M6 y6 Small Major 6th pao-M6 SM6 vM6 M6 5/3, 18/11
12 960 Subminor 7th A6/d7 w7 Small Minor 7th m7 SM7 m7 Sinth* 7/4, 12/7, 16/9
13 1040 Neutral 7th m7 g7 Small Neutral 7th pai-m7 Wm7 ^m7 m7 20/11, 11/6, 9/5
14 1120 Supermajor 7th M7 y7 Major 7th pao-P8 M7 vP8 M7 48/25, 40/21, 15/8
15 1200 Octave P8 w8 Octave P8 P8 P8 P8 2/1

*'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 like Igs' and Dave's systems the best I think. They are very different.