User:BudjarnLambeth/WIP XA scales page: Difference between revisions

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== 1madjack1's 'random stuff go' scale ==
== 1madjack1's 'random stuff go' scale ==
1madjack1 originally used a different word than 'stuff'. Nonetheless the scale they created (in April 2026) is of musical interest, approximating a bunch of [[13-limit]] intervals.
<pre>
<pre>
53.273
53.273
Line 353: Line 351:
839.443
839.443
1067.408
1067.408
1200.000
</pre>
1madjack1 originally used a different word than 'stuff'. Nonetheless the scale they created (in April 2026) is of musical interest, approximating a bunch of [[13-limit]] intervals within 20 [[cents]] in its various rotations:
{| class="wikitable"
!
!0
!1
!2
!3
!4
!5
!6
!7
!(8)
|-
!1/1
|1/1
|~32/31
|~14/13
|~11/9
|~3/2
|~11/7
|~13/8
|~11/6
|2/1
|-
!~32/31
|1/1
|~26/25
|~13/11
|~22/15
|~3/2
|~11/7
|~9/5
|~31/16
|2/1
|-
!~14/13
|1/1
|~8/7
|~7/5
|~16/11
|~3/2
|~19/11
|~13/7
|~25/13
|2/1
|-
!~11/9
|1/1
|~5/4
|~9/7
|~4/3
|~3/2
|~13/8
|~27/16
|~7/4
|2/1
|-
!~3/2
|1/1
|~32/31
|~14/13
|~11/9
|~4/3
|~15/11
|~7/5
|~8/5
|2/1
|-
!~11/7
|1/1
|~26/25
|~13/11
|~9/7
|~4/3
|~11/8
|~11/7
|~31/16
|2/1
|-
!~13/8
|1/1
|~8/7
|~16/13
|~14/11
|~4/3
|~3/2
|~13/7
|~25/13
|2/1
|-
!~11/6
|1/1
|~13/12
|~9/8
|~7/6
|~4/3
|~13/8
|~27/16
|~7/4
|2/1
|}
Budjarn Lambeth recommends [[20edo]], [[72afdo]], or [[85afdo]] (17x5 semi-[[primodality]]) as a tuning for this scale. He recommends the following, vaguely [[pelog]]-like subset for writing melodies:
<pre>
119.443
347.408
720.000
839.443
1200.000
1200.000
</pre>
</pre>


{{navbox scale gallery}}
{{navbox scale gallery}}