21L 1s: Difference between revisions
m == Intervals == {{MOS intervals}} |
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{{MOS intro}} | {{MOS intro}} | ||
[[Eliora]] proposes the name '''escapist''' for this pattern, referencing the [[escapade]] temperament which is supported by both [[21edo]] and [[22edo]], thus covering the entire tuning spectrum. | [[Eliora]] proposes the name '''escapist''' for this pattern, referencing the [[escapade]] temperament which is supported by both [[21edo]] and [[22edo]], thus covering the entire tuning spectrum; [[User:Lériendil|Lériendil]] proposes '''noletic''' for similar reasons, as 9 generators reach a diatonic [[4/3]], supporting the scale [[9ed4/3]] known also as "noleta". | ||
[[User:Moremajorthanmajor|Moremajorthanmajor]] proposes the name ''tricesimoprimal quartertonic'' for this pattern since its harmonic entropy minimum corresponds to tempering out the unnamed comma 961/ | [[User:Moremajorthanmajor|Moremajorthanmajor]] proposes the name ''tricesimoprimal quartertonic'' for this pattern since its harmonic entropy minimum corresponds to tempering out the unnamed comma 961/960—the tricesimoprimal quartertones being equated with each other. In addition, both [[21edo]] and [[22edo]], extreme ranges of the MOS do not temper out this comma, while EDOs up to 100-200 which have this scale do. | ||
==Tuning ranges== | == Tuning ranges == | ||
The scale's approach to standard harmony can be considered based on the mode. | The scale's approach to standard harmony can be considered based on the mode. | ||
=== Brighter modes === | === Brighter modes === | ||
==== Diatonic fifth and 65edo (Ultrasoft and supersoft) ==== | ==== Diatonic fifth and 65edo (Ultrasoft and supersoft) ==== | ||
Between 3\65 and 1\22, 13 steps amount to a diatonic fifth, which corresponds to the ultrasoft step ratio range. In [[65edo]], the fifth produced by 13 steps of the tricesimoprimal quartertonic scale is the same as 3 steps of [[5edo]], and thus is the exact boundary between a fifth proper and a fifth-sixth. | Between 3\65 and 1\22, 13 steps amount to a diatonic fifth, which corresponds to the ultrasoft step ratio range. In [[65edo]], the fifth produced by 13 steps of the tricesimoprimal quartertonic scale is the same as 3 steps of [[5edo]], and thus is the exact boundary between a fifth proper and a fifth-sixth. | ||
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2 steps act as a pseudo-16/15, and when they actually act as 16/15, 961/960 is tempered out. | 2 steps act as a pseudo-16/15, and when they actually act as 16/15, 961/960 is tempered out. | ||
==Modes== | == Scale properties == | ||
{{TAMNAMS use}} | |||
=== Intervals === | |||
{{MOS intervals}} | |||
=== Generator chain === | |||
{{MOS genchain}} | |||
=== Modes === | |||
{{MOS mode degrees}} | |||
== Proposed mode names === | |||
The author proposes naming the modes after Tarot Major Arcana adjectivals based on how many generators down there is since there are 22 of them. | The author proposes naming the modes after Tarot Major Arcana adjectivals based on how many generators down there is since there are 22 of them. | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
| | ! Mode | ||
|Foolish | ! Name | ||
|- | |||
| 21{{pipe}}0 | |||
| Foolish | |||
|- | |- | ||
| | | 20{{pipe}}1 | ||
|Magical | | Magical | ||
|- | |- | ||
| | | 19{{pipe}}2 | ||
|High Priestess's | | High Priestess's | ||
|- | |- | ||
| | | 18{{pipe}}3 | ||
|Empress's | | Empress's | ||
|- | |- | ||
| | | … | ||
| | | … | ||
|- | |- | ||
| | | 3{{pipe}}19 | ||
|Lunar | | Lunar | ||
|- | |- | ||
| | | 2{{pipe}}19 | ||
|Solar | | Solar | ||
|- | |- | ||
| | | 1{{pipe}}20 | ||
|Judgemental | | Judgemental | ||
|- | |- | ||
| | | 0{{pipe}}21 | ||
|Worldwide | | Worldwide | ||
|} | |} | ||
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{{MOS intervals}} | {{MOS intervals}} | ||
==Scale tree== | == Scale tree == | ||
{{ | {{MOS tuning spectrum}} | ||
==See also== | == See also == | ||
*[[32/31]] | * [[32/31]] | ||
*[[31/30]] | * [[31/30]] | ||
*[[Escapade]] | * [[Escapade]] | ||