12edo: Difference between revisions
→Regular temperament properties: no more relative error note beyond its monotonicity capability. Reduce duplication. - rank-3 stuff |
No one cares about atomic Tag: Undo |
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=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{| class="wikitable center-1 center-2" | {| class="wikitable center-1 center-2" | ||
|- | |- | ||
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| 1\12 | | 1\12 | ||
| (P8, P4/5) | | (P8, P4/5) | ||
| [[Ripple]] | | [[Ripple]], [[passion]] | ||
|- | |- | ||
| 1 | | 1 | ||
| 5\12 | | 5\12 | ||
| (P8, P5) | | (P8, P5) | ||
| [[Meantone]] / [[ | | [[Meantone]] / [[dominant (temperament)|dominant]] | ||
|- | |- | ||
| 2 | | 2 | ||
| 5\12 (1\12) | | 5\12 (1\12) | ||
| (P8/2, P5) | | (P8/2, P5) | ||
| [[ | | [[Pajara]], [[injera]] | ||
|- | |- | ||
| 3 | | 3 | ||
| 5\12 (1\12) | | 5\12 (1\12) | ||
| (P8/3, P5) | | (P8/3, P5) | ||
| [[Augmented (temperament)|Augmented]] / [[ | | [[Augmented (temperament)|Augmented]] / [[august]] | ||
|- | |- | ||
| 4 | | 4 | ||
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<nowiki>*</nowiki> [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct | <nowiki>*</nowiki> [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[normal forms #Minimal-generator form|minimal form]] in parentheses if distinct | ||
Rank-2 temperaments to which 12et can be [[detempering|detempered]] include [[compton]] (12 & 72), [[ | Rank-2 temperaments to which 12et can be [[detempering|detempered]] include [[compton]] (12 & 72), [[garibaldi]] (41 & 53), and [[diaschismic]] (46 & 58). For more comprehensive lists, see: | ||
* [[List of 12et rank two temperaments by badness]] | |||
* [[List of 12et rank two temperaments by complexity]] | |||
* [[List of edo-distinct 12f rank two temperaments]] | |||
* [[Schismic–commatic equivalence continuum]] | |||
== Octave stretch or compression == | == Octave stretch or compression == | ||