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

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Created page with "{{Editable user page}} {{Idiosyncratic terms}} ''< Back to 27edo#Scales'' 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/..."
 
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''[[27edo#Scales|< Back to 27edo#Scales]]''
{{Idiosyncratic terms}}
{{Editable user page}}
{{Editable user page}}
{{Idiosyncratic terms}}


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


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 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).
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* 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
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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
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</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]]
; Intervals
<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>


; 6/5-4/3-3/2-8/5-2/1
; 6/5-4/3-3/2-8/5-2/1
; Intervals
<pre>
<pre>
310.5
310.5
Line 133: Line 162:
1197.5
1197.5
</pre>
</pre>
== See also ==
* [[User:BudjarnLambeth/Subsets of 22ed7/4]]


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