User:BudjarnLambeth/Augene18 subsets in 97ed12: Difference between revisions

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


{{Idiosyncratic terms}}
{{Editable user page}}
{{Editable user page}}
{{Idiosyncratic terms}}


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.
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.
Line 11: Line 11:
* 1197.451392 [[cents]]
* 1197.451392 [[cents]]


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


; Intervals
; Intervals
<pre>
88.7
88.7
177.4
177.4
Line 28: Line 29:
709.6
709.6
798.3
798.3
887.
887.0
975.7
975.7
1020.1
1020.1
Line 34: Line 35:
1108.8
1108.8
1197.5
1197.5
</pre>


=== (Subsets) ===
== Subsets of the above scale ==


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


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</pre>
</pre>


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


; Scale pattern
; Scale pattern
Line 73: Line 75:
</pre>
</pre>


==== (Sub-subsets) ====
==== (Subsets) ====


; ~[[6afdo]]
=== Augmented[6] ===
<pre>
310.5
399.2
709.6
798.3
1108.8
1197.5
</pre>
 
; Otonal Dorian hexatonic
<pre>
<pre>
266.1
266.1
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709.6
709.6
887.0
887.0
1064.4
975.7
1197.5
1197.5
</pre>
</pre>


; ~5afdo (rotated)
; Otonal Mixolydian hexatonic
<pre>
<pre>
266.1
399.2
487.9
487.9
709.6
709.6
887.0
887.0
975.7
1197.5
</pre>
; Otonal Mixolydian pentatonic
<pre>
398.7
487.3
708.8
974.7
1197.5
1197.5
</pre>
</pre>


; Otonal Dorian hexatonic
; Quasi-whole-tone
<pre>
177.4
399.2
620.9
798.3
1020.1
1197.5
</pre>
 
; [[Superpyth]][5] minor pentatonic
<pre>
<pre>
266.1
266.1
487.9
487.9
709.6
709.6
887.0
975.7
975.7
1197.5
1197.5
</pre>
</pre>


; Otonal Mixolydian hexatonic
; ~5afdo (rotated)
<pre>
<pre>
399.2
266.1
487.9
487.9
709.6
709.6
887.0
887.0
975.7
1197.5
1197.5
</pre>
</pre>


; Otonal Mixolydian pentatonic
; ~[[6afdo]]
<pre>
<pre>
398.7
266.1
487.3
487.9
708.8
709.6
974.7
887.0
1064.4
1197.5
1197.5
</pre>
</pre>
Line 131: Line 162:
1197.5
1197.5
</pre>
</pre>
== See also ==
* [[User:BudjarnLambeth/Subsets of 22ed7/4]]


{{Navbox scale gallery}}
{{Navbox scale gallery}}

Latest revision as of 09:25, 8 November 2025

< Back to 27edo#Scales

This article or section contains multiple idiosyncratic terms. Such terms are used by only a few people and are not regularly used within the community.
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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-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:

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
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

Subsets of the above scale

Moonbeam

Approximated from 16afdo.

Intervals
221.8
310.5
709.6
1108.8
1197.5

Augene[15] neutral 7th mode

Scale pattern

2 2 2 1 2 2 2 2 1 2 2 2 2 1 2

Intervals
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

(Subsets)

Augmented[6]

310.5
399.2
709.6
798.3
1108.8
1197.5
Otonal Dorian hexatonic
266.1
487.9
709.6
887.0
975.7
1197.5
Otonal Mixolydian hexatonic
399.2
487.9
709.6
887.0
975.7
1197.5
Otonal Mixolydian pentatonic
398.7
487.3
708.8
974.7
1197.5
Quasi-whole-tone
177.4
399.2
620.9
798.3
1020.1
1197.5
Superpyth[5] minor pentatonic
266.1
487.9
709.6
975.7
1197.5
~5afdo (rotated)
266.1
487.9
709.6
887.0
1197.5
~6afdo
266.1
487.9
709.6
887.0
1064.4
1197.5
6/5-4/3-3/2-8/5-2/1
310.5
487.9
709.6
798.3
1197.5

See also


View • Talk • EditScale galleries
JI scales 12-tone JI • Combination product set • Constant structure • Harry Partch-related • Maximal harmony epimorphic • MOS transversal • Non-octave JI • Wakalix • Z-polygon transversal • Other JI
Full list: Category:Just intonation scales
Tempered scales 11-tone MOS • 12-tone tempered • Chromatic pair • Clipper • Double mode • Essentially tempered • Fantasy detemper • Marvel woo • Meantone • Min ambiguity • MOS cradle • Negri-9 • Neutral third • Non-octave tempered • Scalesmith systematic • Ternary • Other tempered
Full list: Category:Tempered scales
Scales in EDOs in 10edo • 11 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 33 • 34 • 35 • 36 • 37 • 38 • 40 • 41 • 42 • 43 • 46 • 49 • 53 • 72 • 80
All other scale gallery pages are included in Category:Lists of scales
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