User:Moremajorthanmajor/3L 1s (perfect fifth-equivalent): Difference between revisions
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==Temperaments== | ==Temperaments== | ||
The most basic rank-2 temperament interpretation of angel is '''Napoli'''. The name "Napoli" comes from the “Neapolitan” sixth triad spelled <code>root-(p-2g)-(2p-3g)</code> (p = 3/2, g = the whole tone) which serves as its minor triad approximating 5:6:8 in pental interpretations or 18:21:28 in septimal ones. Basic ~7edf fits both interpretations. | The most basic rank-2 temperament interpretation of angel is '''Napoli'''. The name "Napoli" comes from the “Neapolitan” sixth triad spelled <code>root-(p-2g)-(2p-3g)</code> (p = 3/2, g = the whole tone) which serves as its minor triad approximating 5:6:8 in pental interpretations or 18:21:28 in septimal ones. Basic ~7edf fits both interpretations. | ||
==='''Napoli-Meantone'''=== | ==='''Napoli-Meantone (Hex meantone)'''=== | ||
[[Subgroup]]: 3/2.6/5.8/5 | [[Subgroup]]: 3/2.6/5.8/5 (5.2.3) | ||
[[Comma]] list: [[81/80]] | [[Comma]] list: [[81/80]] | ||
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[[Optimal ET sequence]]: *[[28ed5]], [[44ed5]], [[72ed5]] ≈ [[7edf]], [[11edf]], [[18edf]] | [[Optimal ET sequence]]: *[[28ed5]], [[44ed5]], [[72ed5]] ≈ [[7edf]], [[11edf]], [[18edf]] | ||
==='''Napoli-Archy'''=== | ==='''Napoli-Archy (Hex Archytas)'''=== | ||
[[Subgroup]]: 3/2.7/6.14/9 | [[Subgroup]]: 3/2.7/6.14/9 (36/7.2.3) | ||
[[Comma]] list: [[64/63]] | [[Comma]] list: [[64/63]] | ||