3L 4s: Difference between revisions

Flirora (talk | contribs)
separate into sections
Flirora (talk | contribs)
add section for ultrasoft tuning range
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== Tuning ranges ==
== Tuning ranges ==
=== Ultrasoft ===
[[Ultrasoft]] mosh tunings have step ratios that are less than 4:3, which implies a generator flatter than 7\24 = 350¢.
Ultrasoft mosh EDOs include [[24edo]], [[31edo]], [[38edo]], and [[55edo]].
* [[24edo]] can be used to make large and small steps more distinct (the step ratio is 4/3), or for its nearly pure 3/2.
* [[38edo]] can be used to tune the minor and major mosthirds near [[6/5]] and [[11/9]], respectively
The sizes of the generator, large step and small step of mosh are as follows in various ultrasoft mosh tunings.
{| class="wikitable right-2 right-3 right-4 right-5"
|-
!
! [[24edo]]
! [[31edo]]
! [[38edo]]
! [[55edo]]
! Optimal (11-limit [[POTE]]) tuning
! JI intervals represented
|-
| generator (g)
| 7\24, 350.00
| 9\31, 348.39
| 11\38, 347.37
| 16\55, 349.09
| 348.48
| [[11/9]]
|-
| L (4g - octave)
| 4\24, 200.00
| 5\31, 193.55
| 6\38, 189.47
| 9\55, 196.36
| 193.92
| [[9/8]], [[10/9]]
|-
| s (octave - 3g)
| 3\24, 150.00
| 4\31, 154.84
| 5\38, 157.89
| 7\55, 152.72
| 154.56
| [[11/10]], [[12/11]]
|}


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