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

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2/1
2/1
</pre>
</pre>
== 12-tone piano tunings recommended by DeltaQuartz (10L 2s diaschismic[12] & 3L 9s augmented[12]) ==
While not ''discovered'' by DeltaQuartz per se, the case they make for these is worth documenting.
''"I just stumbled upon some pretty awesome 12-tone piano temperaments that feel like analogues to [[meantone]] but for sharp fifth tunings. One of them is for [[diaschismic]] tunings like {{EDOs|22edo, 34edo, 46edo,}} etc. with a 600c [[period]], giving sweet 5/4 thirds in 8 keys (the same as meantone), a pretty cozy way to explore their [[5-limit]] when these are often tunings that have bizarre layouts otherwise, and tritone sub-able in every key! The other is for [[augmented]] tunings like {{EDOs|15edo, 27edo, 39edo,}} etc. with a 400c period, giving every key the same major third and 6 keys an easy access harmonic 7th as their minor 7th.''
''34edo scale: https://scaleworkshop.plainsound.org/scale/-LxdqOHRh''
''39edo scale: https://scaleworkshop.plainsound.org/scale/-LxZNj2Ub''
''For MOS-minded folks, the first scale is [[10L 2s]], the second is [[3L 9s]]."''


== FilterNashi majorminth scales ==
== FilterNashi majorminth scales ==
{{Wikipedia|Hirajōshi scale}}
"i found a scale tempered 352/351 suspiciously similar to Hirajoshi which is
"i found a scale tempered 352/351 suspiciously similar to Hirajoshi which is
* 9/8
* 9/8
Line 123: Line 136:
* [https://scaleworkshop.plainsound.org/scale/RruKXVr-R Scale Workshop link 1]
* [https://scaleworkshop.plainsound.org/scale/RruKXVr-R Scale Workshop link 1]
* [https://scaleworkshop.plainsound.org/scale/Rruj0WZvc Scale Workshop link 2]"
* [https://scaleworkshop.plainsound.org/scale/Rruj0WZvc Scale Workshop link 2]"
== finky6319's fun jazzy pentatonic scale ==
* Intervals: 7/6 21/16 11/8 7/4 2/1
* [[Scale Workshop]] link: https://scaleworkshop.plainsound.org/scale/ZhwE7mmId
* Properties: Subset of [[16afdo]]


== Maeve Gutierrez ==
== Maeve Gutierrez ==
Line 219: Line 237:


== Xencoder over-23 primodal Hirajoshi ==
== Xencoder over-23 primodal Hirajoshi ==
''(See [[primodality]], {{W|Hirajōshi scale}}.)''
* 51/46
* 51/46
* 28/23
* 28/23
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3L2s:
3L2s:
       26:29:33:39:44 tridecimal maj pentatonic
       26:29:33:39:44 tridecimal maj pentatonic
</pre>
== z4wr autocoltraninatorathingamajig scales ==
;autocoltraninatorathingamajig minor
* https://scaleworkshop.plainsound.org/scale/eiwMlcYFN
;autocoltraninatorathingamajig major
* https://scaleworkshop.plainsound.org/scale/eiwEda8OT
== z4wr-Cutting detempered blues scale ==
"blues scale detemper attempt in 11-limit based on [https://emusicology.org/article/id/4566/ blues scale analysis by court b cutting]"
* https://scaleworkshop.plainsound.org/scale/newCtO1iy
== 1madjack1's 'the block' and 'the tesseract'==
''see [[The block and the tesseract]].''
== 1madjack1's 'random stuff go' scale ==
<pre>
53.273
119.443
347.408
720.000
773.273
839.443
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
</pre>
</pre>


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