22L 1s: Difference between revisions
m == Intervals == {{MOS intervals}} |
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The name '''quartismoid''' is proposed for this pattern since its harmonic entropy minimum corresponds to tempering out the [[quartisma]] - five 33/32s being equated with 7/6. In addition, both [[22edo]] and [[23edo]], extreme ranges of the MOS temper out the quartisma, as well as a large portion of EDOs up to 100-200 which have this scale. | The name '''quartismoid''' is proposed for this pattern since its harmonic entropy minimum corresponds to tempering out the [[quartisma]] - five 33/32s being equated with 7/6. In addition, both [[22edo]] and [[23edo]], extreme ranges of the MOS temper out the quartisma, as well as a large portion of EDOs up to 100-200 which have this scale. | ||
==Tuning ranges== | == Tuning ranges == | ||
=== Mavila fifth and 91edo (Ultrasoft and supersoft) === | === Mavila fifth and 91edo (Ultrasoft and supersoft) === | ||
Between 4\91 and 1\23, 13 steps amount to a pelog / mavila fifth, which corresponds to the ultrasoft step ratio range. In [[91edo]], the fifth produced by 13 steps of the quartismoid scale is the same as 4 steps of [[7edo]], and thus is the exact boundary between mavila and diatonic. | Between 4\91 and 1\23, 13 steps amount to a pelog / mavila fifth, which corresponds to the ultrasoft step ratio range. In [[91edo]], the fifth produced by 13 steps of the quartismoid scale is the same as 4 steps of [[7edo]], and thus is the exact boundary between mavila and diatonic. | ||
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6 steps act as a pseudo-6/5, and when they actually act as 6/5 along with 5 steps being equal to 7/6, [[385/384]] is tempered out. If one were to instead tune in favour of 6/5 instead of 7/6, the resulting hardness would be around 1.233. 114edo and 137edo represent this the best. | 6 steps act as a pseudo-6/5, and when they actually act as 6/5 along with 5 steps being equal to 7/6, [[385/384]] is tempered out. If one were to instead tune in favour of 6/5 instead of 7/6, the resulting hardness would be around 1.233. 114edo and 137edo represent this the best. | ||
== | == Scale properties == | ||
Eliora proposes naming the brightest mode Alpharabian, after the fact that 33/32 is called Al-Farabi quarter-tone, and the rest after Tarot Major Arcana adjectivals based on how many generators down there is. | {{TAMNAMS use}} | ||
{{MOS data | |||
| modes note = Eliora proposes naming the brightest mode Alpharabian, after the fact that 33/32 is called Al-Farabi quarter-tone, and the rest after Tarot Major Arcana adjectivals based on how many generators down there is. | |||
}} | |||
== | == Scale tree == | ||
{{MOS | {{MOS tuning spectrum}} | ||
== Scale tree == | == Scale tree == | ||