User:Overthink/Sandbox: Difference between revisions
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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
Tag: Undo |
subst test |
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| Line 18: | Line 18: | ||
[[User:Overthink/Test template]] | [[User:Overthink/Test template]] | ||
{ | |||
{| class="wikitable center-1 right-2" | |||
|- | |||
! 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 | |||
|} | |||
{{#if: 1||[[Category:Todo:replace auto-generated table of intervals with manually curated table]]}} | |||
Revision as of 20:24, 15 February 2026
| 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 |