View source for User:BudjarnLambeth/Augene18 subsets in 97ed12

''[[27edo#Scales|< Back to 27edo#Scales]]''

{{Idiosyncratic terms}}
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This is '''a list of [[augene]][18] subset scales in [[97ed12]]''', though these scales can also be retuned to pure-octaves [[27edo]] and still work.

97ed12 is 27edo but [[octave shrinking|octave-compressed]] by about 2.5 cents, which improves its approximations of [[harmonics]] 3, 5, 7 and 13 at the expense of 2 and 11. It also improves some other important intervals like [[11/6]] (the neutral seventh).

97ed12 has an octave of size:
* 1197.451392 [[cents]]

== Augene[18] scale (9 gens up, 6 down) ==
; Scale pattern
2 2 1 1 1 2 2 2 1 1 1 2 2 2 1 1 1 2

; Intervals
<pre>
88.7
177.4
221.8
266.1
310.5
399.2
487.9
576.6
620.9
665.3
709.6
798.3
887.0
975.7
1020.1
1064.4
1108.8
1197.5
</pre>

== Subsets of the above scale ==

=== Moonbeam ===
Approximated from [[16afdo]].

; Intervals
<pre>
221.8
310.5
709.6
1108.8
1197.5
</pre>

=== Augene[15] neutral 7th mode ===

; Scale pattern
2 2 2 1 2 2 2 2 1 2 2 2 2 1 2

; Intervals
<pre>
88.7
177.4
266.1
310.5
399.2
487.9
576.6
665.3
709.6
798.3
887.0
975.7
1064.4
1108.8
1197.5
</pre>

==== (Subsets) ====

=== Augmented[6] ===
<pre>
310.5
399.2
709.6
798.3
1108.8
1197.5
</pre>

; Otonal Dorian hexatonic
<pre>
266.1
487.9
709.6
887.0
975.7
1197.5
</pre>

; Otonal Mixolydian hexatonic
<pre>
399.2
487.9
709.6
887.0
975.7
1197.5
</pre>

; Otonal Mixolydian pentatonic
<pre>
398.7
487.3
708.8
974.7
1197.5
</pre>

; Quasi-whole-tone
<pre>
177.4
399.2
620.9
798.3
1020.1
1197.5
</pre>

; [[Superpyth]][5] minor pentatonic
<pre>
266.1
487.9
709.6
975.7
1197.5
</pre>

; ~5afdo (rotated)
<pre>
266.1
487.9
709.6
887.0
1197.5
</pre>

; ~[[6afdo]]
<pre>
266.1
487.9
709.6
887.0
1064.4
1197.5
</pre>

; 6/5-4/3-3/2-8/5-2/1
<pre>
310.5
487.9
709.6
798.3
1197.5
</pre>

== See also ==
* [[User:BudjarnLambeth/Subsets of 22ed7/4]]

{{Navbox scale gallery}}