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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|480 | |480 | ||
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|P4 | |P4 | ||
|w4 | |w4 | ||
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|SM7 | |SM7 | ||
|m7 | |m7 | ||
| | |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.