User:Overthink/Sandbox
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Subgroups
2.3.5.7, 2.3.5.7.11
Comma basis
225/224 (7-limit);
225/224, 385/384 (11-limit)
Reduced mapping
⟨1; 1 0 2 -1; 0 1 2 -3]
ET join
19 & 22 & 31
Generators (CWE)
MOS scales
n/a
Ploidacot
n/a
Pergen
(P8, P5, ^1)
Color name
Ruyoyoti
Minimax error
9-odd-limit: 2.57 ¢;
11-limit 21-odd-limit: 3.86 ¢
Target scale size
9-odd-limit: ? notes;
11-limit 21-odd-limit: ? notes
| Marvel |
225/224, 385/384 (11-limit)
11-limit 21-odd-limit: 3.86 ¢
11-limit 21-odd-limit: ? notes
| Steps | Cents | Approximate ratios | Ups and downs notation |
|---|---|---|---|
| 0 | 0 | 1/1 | D |
| 1 | 100 | 15/14, 16/15, 17/16, 18/17, 19/18, 20/19, 21/20, 22/21 | D♯, E♭ |
| 2 | 200 | 9/8, 10/9, 17/15, 19/17, 21/19 | E |
| 3 | 300 | 6/5, 19/16, 20/17 | F |
| 4 | 400 | 5/4, 14/11, 19/15, 23/18 | F♯, G♭ |
| 5 | 500 | 4/3, 23/17 | G |
| 6 | 600 | 7/5, 10/7, 17/12, 23/16 | G♯, A♭ |
| 7 | 700 | 3/2 | A |
| 8 | 800 | 8/5, 11/7, 19/12 | A♯, B♭ |
| 9 | 900 | 5/3, 17/10 | B |
| 10 | 1000 | 9/5, 16/9, 23/13 | C |
| 11 | 1100 | 15/8, 17/9, 19/10, 21/11, 23/12 | C♯, D♭ |
| 12 | 1200 | 2/1 | D |