@@ Line 3: / Line 3: @@
 < [[Gallery of other tempered scales]]</small>
-These are scales which were first described by users of the Xenharmonic Alliance Discord
+{{Editable user page}}
+This page documents scales which were first described by users of the [[Xenharmonic Alliance]] Discord.
 == 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>
@@ Line 70: / Line 73: @@
 == 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 ===
@@ Line 88: / Line 91: @@
 /1
 </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>
+/11
+/11
+/11
+/11
+/11
+</pre>
+== Tristanbay 12-tone no-5s 11-limit scale ==
+<pre>33/32
+/8
+/6
+/64
+/16
+/8
+/2
+/9
+/48
+/4
+/6
+/1</pre>
 == Tristanbay 19-tone 2.3.7.17.19 scale ==
 <pre>57/56
@@ Line 111: / Line 193: @@
 == 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
 /32
@@ Line 154: / Line 236: @@
 </pre>
-== FilterNashi thujo Hirajoshi scales ==
+== Xencoder over-23 primodal Hirajoshi ==
-i found a scale tempered 352/351 suspiciously similar to Hirajoshi which is
+''(See [[primodality]], {{W|Hirajōshi scale}}.)''
-/8
+* 51/46
-/9
+* 28/23
-/2
+* 34/23
-/8
+* 73/46
-/1
+* 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 ScaleWorkshop.
+== Zhea Erose primodal Lydians ==
-i found a 6-note scale first and it's subset of retrovert is suspiciously similar to Hirajoshi
+''Described by [[Zhea Erose]]. Recommended by [[Xencoder]].''
-the scale itself is
--12/11-32/27-4/3-18/11-16/9-2, 352/351 tempered.
+<pre>
-so the scale i found was quite interesting because its a seven-note scale with every interval within 13-odd-limit (rank3)
+b Lydian Heptad
+- 14:16:18:20:21:24:27:(28)
+ - (+2+2+2+1+3+3+1), 2:3:4 concordance frame
+b Lydian Heptad
+- 22:25:28:31:33:37:42:(44)
+ - (+3+3+3+2+4+5+2), 2:3:4 concordance frame
+e Lydian Heptad
+- 32:36:40:45:48:54:60:(64)
+  - (+4+4+5+3+6+6+4), 2:3:4 concordance frame
+b Lydian Heptad
+- 34:38:43:48:51:57:64:(68)
+  - (+4+5+5+3+6+7+4), 2:3:4 concordance frame
+b Lydian Heptad
+- 38:43:48:54:57:64:72:(76)
+  - (+5+5+6+3+7+8+4), 2:3:4 concordance frame
+</pre>
+<pre>
+YAML
+some tridecimal scales in a few mos pre-images
+L2s:
+lydian and lydian modmos
+:29:33:37:39:44:49 tridecimal lydian
+:28:33:37:39:44:49 tridecimal lydian b2
+:31:33:37:39:44:49 tridecimal lydian #2
+:32:33:37:39:44:49 tridecimal lydian hyper^2
+:29:33:37:41:44:49 tridecimal lydian #5
+ionian
+:29:33:35:39:44:49 tridecimal ionian
+:28:33:35:39:44:49 tridecimal ionian b2
+mixolydian
+:29:33:35:39:44:46 tridecimal mixolydian
+:29:33:35:39:41:46 tridecimal mixolydian b6
+dorian
+:29:31:35:39:44:46 tridecimal dorian
+:28:31:35:39:44:46 tridecimal dorian b2
+aeolian
+:29:31:35:39:41:46 tridecimal aeolian
+L1s:
+ryonian
+:29:32:35:39:43:48 tridecimal ryonian
+mixoryonian
+:29:32:35:39:43:46 tridecimal mixoryonian
+azurian
+:29:32:35:39:42:46 tridecimal azurian
+locrial
+:29:32:35:38:42:46 tridecimal locrial
+ionial
+:29:32:34:38:42:46 tridecimal ionial
+duradian
+:29:31:34:38:42:46 tridecimal duradian
+phyradian
+:28:31:34:38:42:46 tridecimal phyradian
+L3s:
+dylathian
+:29:33:34:38:43:44:49 tridecimal dylathian
+L2s:
+:29:33:39:44 tridecimal maj pentatonic
+</pre>
-Scale found in Thulo, which tempered 352/351 in the 2.3.11.13 subgroup TE tuning:
+== z4wr autocoltraninatorathingamajig scales ==
-* 205.931
+;autocoltraninatorathingamajig minor
-* 345.590
+* https://scaleworkshop.plainsound.org/scale/eiwMlcYFN
-* 702.798
+;autocoltraninatorathingamajig major
-* 842.456
+* https://scaleworkshop.plainsound.org/scale/eiwEda8OT
-* 1199.664
-=== Seven-note versions ===
+== z4wr-Cutting detempered blues scale ==
-* [https://scaleworkshop.plainsound.org/scale/RruKXVr-R Scale Workshop link 1]
+"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/Rruj0WZvc Scale Workshop link 2]
+* https://scaleworkshop.plainsound.org/scale/newCtO1iy
-== Maeve Gutierrez ==
+== 1madjack1's 'the block' and 'the tesseract'==
-''see [[Maeve Gutierrez]].''
+''see [[The block and the tesseract]].''
-== MrTheKing 11:13:16:17:19:22 scale ==
+== 1madjack1's 'random stuff go' scale ==
-A simple 19-limit pentatonic subset of mode 11 of the harmonic series ([[11afdo]]) described by [[mrtheking]] in December 2025.
 <pre>
-/11
+.273
-/11
+.443
-/11
+.408
-/11
+.000
-/11
+.273
+.443
+.408
+.000
 </pre>
-== Xencoder over-23 primodal Hirajoshi ==
+madjack1 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:
-* 51/46
+{| class="wikitable"
-* 28/23
+!
-* 34/23
+!0
-* 73/46
+!1
-* 2/1
+!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
+|}
-== Tristanbay 12-tone no-5s 11-limit scale ==
+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>33/32
+<pre>
-/8
+.443
-/6
+.408
-/64
+.000
-/16
+.443
-/8
+.000
-/2
+</pre>
-/9
-/48
-/4
-/6
-/1</pre>
 {{navbox scale gallery}}

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