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While not ''discovered'' by DeltaQuartz per se, the case they make for these is worth documenting.
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.
''"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
''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]]."''
''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 ==
Line 341: Line 341:
== 1madjack1's 'the block' and 'the tesseract'==
== 1madjack1's 'the block' and 'the tesseract'==
''see [[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>


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