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

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== A17Forkybest303 35edo shower detemper ==
== A17Forkybest303 35edo shower detemper ==
"35edo detemper using some weird idea i thought in the shower. its kind of a compromise between what i did with 23L 12s, 27L 8s and 79L 19s <7/1> mosses i did. this is just 35L 7s with the small steps coalesced to their average."
"[[35edo]] [[Detempering|detemper]] using some weird idea i thought in the shower. its kind of a compromise between what i did with 23L 12s, 27L 8s and 79L 19s <7/1> [[MOS scale|mosses]] i did. this is just 35L 7s with the small steps coalesced to their average."


<pre>
<pre>
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== Domin Zutsz-11 scale ==
== Domin Zutsz-11 scale ==
The Zutsz-11 scale is a 10-tone 2.3.7.11 just intonation scale. It was first described by [[Domin]] in July 2024 and then indpendently described again by [[Finky]] in December 2025.
The Zutsz-11 scale is a 10-tone [[2.3.7.11 subgroup|2.3.7.11]] just intonation scale. It was first described by [[Domin]] in July 2024 and then indpendently described again by [[Finky]] in December 2025.


=== Music ===
=== Music ===
Line 91: Line 91:
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 ==
{{Wikipedia|Hirajōshi scale}}
"i found a scale tempered 352/351 suspiciously similar to Hirajoshi which is
* 9/8
* 11/9
* 3/2
* 13/8
* 2/1
and 352/351 tempered.
it's a better approximation than 1-9/8-6/5-3/2-8/5-2/1 known as Hirajoshi Just in the preset scale of [[Scale Workshop]].
i found a 6-note scale first and its subset of retrovert is suspiciously similar to Hirajoshi - the scale itself is:
* 1-12/11-32/27-4/3-18/11-16/9-2, 352/351 tempered.
so the scale i found was quite interesting because its a seven-note scale with every interval within [[13-odd-limit]] ([[Rank-3|rank3]])</pre>
five-note scale found in [[352/351#Temperaments|majorminth]] (tempered 352/351 in the 2.3.11.13 subgroup TE tuning):
* 205.931
* 345.590
* 702.798
* 842.456
* 1199.664"
=== Seven-note versions ===
"these two scales are called [[paranice]], due to sharing the same pattern with [[nicetone]].
* [https://scaleworkshop.plainsound.org/scale/RruKXVr-R Scale Workshop link 1]
* [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 ==
''see [[Maeve Gutierrez]].''
== MrTheKing 11:13:16:17:19:22 scale ==
A simple 19-limit pentatonic subset of mode 11 of the harmonic series ([[11afdo]]) described by [[mrtheking]] in December 2025.
<pre>
13/11
16/11
17/11
19/11
22/11
</pre>
== Tristanbay 12-tone no-5s 11-limit scale ==
<pre>33/32
9/8
7/6
77/64
21/16
11/8
3/2
14/9
77/48
7/4
11/6
2/1</pre>


== Tristanbay 19-tone 2.3.7.17.19 scale ==
== Tristanbay 19-tone 2.3.7.17.19 scale ==
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== Tristanbay 41fg detemper ==
== Tristanbay 41fg detemper ==
"41fg [[detemper]] with 2 copies of harmonic series mode 16 ([[16afdo]])."
"41fg [[detemper]] with 2 copies of harmonic series mode 16 ([[16afdo]])." ''(See [[warts]], [[41edo]].)''
<pre>49/48
<pre>49/48
33/32
33/32
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63/32
63/32
2</pre>
2</pre>
== FilterNashi majorminth scales ==
<pre>i found a scale tempered 352/351 suspiciously similar to Hirajoshi which is
9/8
11/9
3/2
13/8
2/1
and 352/351 tempered
it's even better approximation than 1-9/8-6/5-3/2-8/5-2/1 known as Hirajoshi Just in the preset scale of [[Scale Workshop]].
i found a 6-note scale first and it's subset of retrovert is suspiciously similar to Hirajoshi
the scale itself is
1-12/11-32/27-4/3-18/11-16/9-2, 352/351 tempered.
so the scale i found was quite interesting because its a seven-note scale with every interval within 13-odd-limit (rank3)</pre>
Five-note scale found in [[352/351#Temperaments|majorminth]], which tempered 352/351 in the 2.3.11.13 subgroup TE tuning:
* 205.931
* 345.590
* 702.798
* 842.456
* 1199.664
=== Seven-note versions ===
These two scale is called [[paranice]], due to share the same pattern with [[nicetone]]
* [https://scaleworkshop.plainsound.org/scale/RruKXVr-R Scale Workshop link 1]
* [https://scaleworkshop.plainsound.org/scale/Rruj0WZvc Scale Workshop link 2]
== Maeve Gutierrez ==
''see [[Maeve Gutierrez]].''
== MrTheKing 11:13:16:17:19:22 scale ==
A simple 19-limit pentatonic subset of mode 11 of the harmonic series ([[11afdo]]) described by [[mrtheking]] in December 2025.
<pre>
13/11
16/11
17/11
19/11
22/11
</pre>
== Tristanbay 12-tone no-5s 11-limit scale ==
<pre>33/32
9/8
7/6
77/64
21/16
11/8
3/2
14/9
77/48
7/4
11/6
2/1</pre>


== 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}}