Semiquartal: Difference between revisions

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'''Semiquartal''', also known as 5L 4s, is a [[MOS]] pattern consisting of 9 steps, with pattern LLsLsLsLs. It is supported by [[14edo]], [[19edo]], and [[24edo]], among others.
'''Semiquartal''', also known as 5L 4s, is a [[MOS]] pattern consisting of 9 steps, with pattern LLsLsLsLs. It is supported by [[14edo]], [[19edo]], and [[24edo]], among others. Like [[Mosh|mosh]], semiquartal contains many intervals almost exactly between 12edo intervals, which improves [[Xenness|xenness]]. Unlike mosh, semiquartal triads have vaguely major or minor qualities.
{| class="wikitable"
|+
!Generator
!Notes
|-
|1\5
|Collapsed.
|-
|<nowiki>||||||| 9\44</nowiki>
|Notable archy. Better as a larger scale.
|-
|<nowiki>|||||| 8\39</nowiki>
|Notable archy. Better as a larger scale.
|-
|<nowiki>||||| 7\34</nowiki>
|Good approximation of Immunity temperament.
|-
|<nowiki>|||| 6\29</nowiki>
|
|-
|<nowiki>||||| 11\53</nowiki>
|
|-
|<nowiki>||| 5\24</nowiki>
|Often acceptable approximation of [[Semifourth-generated scales|Intergan]] by a smaller edo.
|-
|<nowiki>||||| 14\67</nowiki>
|Nearly optimal [[Semifourth-generated scales|Intergan]].
|-
|<nowiki>|||| 9\43</nowiki>
|Often acceptable approximation of [[Semifourth-generated scales|Intergan]] with a notable meantone.
|-
|<nowiki>||||| 13\62</nowiki>
|Notable meantone.
|-
|<nowiki>|| 4\19</nowiki>
|Smallest semiquartal edo to generate a [[diatonic fifth]]. A passable representation of meantone-range semiquartal. The [[patent val]] makes Semaphore temperament viable.
|-
|<nowiki>||| 7\33</nowiki>
|Semisixth is very close to 9/7.
|-
|<nowiki>| 3\14</nowiki>
|
|-
|<nowiki>|| 5\23</nowiki>
|Good approximation of Bug temperament.
|-
|2\9
|Equalized.
|}


== See also ==
* [[Chthonic harmony]]
* [[Semifourth-generated scales]]
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Latest revision as of 03:27, 24 April 2026

Semiquartal, also known as 5L 4s, is a MOS pattern consisting of 9 steps, with pattern LLsLsLsLs. It is supported by 14edo, 19edo, and 24edo, among others. Like mosh, semiquartal contains many intervals almost exactly between 12edo intervals, which improves xenness. Unlike mosh, semiquartal triads have vaguely major or minor qualities.

Generator Notes
1\5 Collapsed.
||||||| 9\44 Notable archy. Better as a larger scale.
|||||| 8\39 Notable archy. Better as a larger scale.
||||| 7\34 Good approximation of Immunity temperament.
|||| 6\29
||||| 11\53
||| 5\24 Often acceptable approximation of Intergan by a smaller edo.
||||| 14\67 Nearly optimal Intergan.
|||| 9\43 Often acceptable approximation of Intergan with a notable meantone.
||||| 13\62 Notable meantone.
|| 4\19 Smallest semiquartal edo to generate a diatonic fifth. A passable representation of meantone-range semiquartal. The patent val makes Semaphore temperament viable.
||| 7\33 Semisixth is very close to 9/7.
| 3\14
|| 5\23 Good approximation of Bug temperament.
2\9 Equalized.

See also

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