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Created page with "These are 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." <pre> MOS {LLLLLsLLLLLsLLLLLsLLLLLsLLLLLsLLLLLsLLLLLs;L=1.0174049140626118r;s=1.0128266737669138r} 40.94029613..."
 
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These are scales which were first described by users of the Xenharmonic Alliance Discord
<small>< [[Gallery of other just intonation scales]]
 
< [[Gallery of other tempered scales]]</small>
 
{{Editable user page}}
 
 
This page documents scales which were first described by users of the [[Xenharmonic Alliance]] Discord.


== 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>
Line 64: Line 71:
  48/25 ! E♭ silver
  48/25 ! E♭ silver
  2/1 ! E red</pre>
  2/1 ! E red</pre>
 
== Domin Zutsz-11 scale ==
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 ===
* [https://youtu.be/Hr4WtKdvs_4 'Zutsz'] - [[Domin]] (2024)
* [https://www.youtube.com/watch?v=ux94Vn2q7uA 'Jam on Domin's Zutsz-11 Scale'] - [[Nick Vuci]] (2024)
 
<pre>
33/32
7/6
77/64
21/16
11/8
3/2
77/48
7/4
11/6
2/1
</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>
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 ==
<pre>57/56
<pre>57/56
Line 87: Line 193:


== 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
Line 130: Line 236:
2</pre>
2</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}}.)''
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 ScaleWorkshop.
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)
 
Scale found in Thulo, 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 ver ===
https://scaleworkshop.plainsound.org/scale/RruKXVr-R
https://scaleworkshop.plainsound.org/scale/Rruj0WZvc
 
=== Xencoder over-23 primodal Hirajoshi ===
* 51/46
* 51/46
* 28/23
* 28/23
Line 162: Line 244:
* 2/1
* 2/1


== Tristanbay 12-tone no-5s 11-limit scale ==
== Zhea Erose primodal Lydians ==
<pre>33/32
''Described by [[Zhea Erose]]. Recommended by [[Xencoder]].''
9/8
 
7/6
<pre>
77/64
7b Lydian Heptad
21/16
- 14:16:18:20:21:24:27:(28)
11/8
- (+2+2+2+1+3+3+1), 2:3:4 concordance frame
3/2
 
14/9
11b Lydian Heptad
77/48
- 22:25:28:31:33:37:42:(44)
7/4
- (+3+3+3+2+4+5+2), 2:3:4 concordance frame
11/6
 
2/1</pre>
2e Lydian Heptad
- 32:36:40:45:48:54:60:(64)
  - (+4+4+5+3+6+6+4), 2:3:4 concordance frame


== Maeve Gutierrez ==
17b Lydian Heptad
''see [[Maeve Gutierrez]].''
- 34:38:43:48:51:57:64:(68)
  - (+4+5+5+3+6+7+4), 2:3:4 concordance frame


= ((Add to EDO pages instead)) =
19b Lydian Heptad
- 38:43:48:54:57:64:72:(76)
  - (+5+5+6+3+7+8+4), 2:3:4 concordance frame
</pre>
<pre>
<pre>
18edo
YAML
* 5L 8s: 2 1 2 1 1 2 1 2 1 1 2 1 1
some tridecimal scales in a few mos pre-images
 
5L2s:
lydian and lydian modmos
    26:29:33:37:39:44:49 tridecimal lydian
    26:28:33:37:39:44:49 tridecimal lydian b2
    26:31:33:37:39:44:49 tridecimal lydian #2
    26:32:33:37:39:44:49 tridecimal lydian hyper^2
    26:29:33:37:41:44:49 tridecimal lydian #5


31edo
ionian
* Superlydian b7 d6: 5 7 3 3 4 4 5
(Maeve: "F# [[31edo]] superlydian b7 d6 (5 7 3 3 4 4 5) has a very bright sound & has a good mix of [[consonance]] & [[dissonance]]... could also work in 24edo")


72edo
    26:29:33:35:39:44:49 tridecimal ionian
* [[Prodigy]][19]: 5 2 5 4 5 2 5 2 5 2 5 4 5 2 5 2 5 5 2
    26:28:33:35:39:44:49 tridecimal ionian b2


79edo:
mixolydian
* 180rotator's 9-tone 33\79 scale: 7 13 7 6 7 13 7 6 7 6
 
    26:29:33:35:39:44:46 tridecimal mixolydian
    26:29:33:35:39:41:46 tridecimal mixolydian b6
 
dorian
 
    26:29:31:35:39:44:46 tridecimal dorian
    26:28:31:35:39:44:46 tridecimal dorian b2
 
aeolian
 
    26:29:31:35:39:41:46 tridecimal aeolian
 
6L1s:
ryonian
        26:29:32:35:39:43:48 tridecimal ryonian
 
mixoryonian
        26:29:32:35:39:43:46 tridecimal mixoryonian
 
azurian
        26:29:32:35:39:42:46 tridecimal azurian
 
locrial
        26:29:32:35:38:42:46 tridecimal locrial
 
ionial
        26:29:32:34:38:42:46 tridecimal ionial
 
duradian
      26:29:31:34:38:42:46 tridecimal duradian
 
phyradian
      26:28:31:34:38:42:46 tridecimal phyradian
 
5L3s:
dylathian
      26:29:33:34:38:43:44:49 tridecimal dylathian
 
3L2s:
      26:29:33:39:44 tridecimal maj pentatonic
</pre>
</pre>


= Add to Gutierrez composer page instead =
== 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


==== Doubled wisp ====
== 1madjack1's 'the block' and 'the tesseract'==
In December 2025, Gutierrez made this variation of the wisp scale by duplicating the chord made from the first 4 notes of the wisp scale, offset by 30 cents, until it fills the octave. She described it as 'adding shimmers and some more familiar intervals' and having a "very mysterious sound".
''see [[The block and the tesseract]].''


<pre>30.000
== 1madjack1's 'random stuff go' scale ==
266.871
<pre>
296.871
53.273
484.920
119.443
514.920
347.408
669.278
720.000
699.278
773.273
936.149
839.443
966.149
1067.408
1200.000</pre>
1200.000
</pre>


=== Generator sequence 7/6, 9/8, 8/7 (4/1 period) ===
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:
Gutierrez described this scale in December 2025: "the 2 octaves have similar notes (with the semiflat 4 or 11 existing in both) so it can be fun to play the same melody in both octaves for a shimmery sound which works well with bell-like timbres, but the second octave also allows chord extentions like subminor maj9 or susd4maj13"
{| 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>
<pre>
7/6        267c    sin3
119.443
21/16    471c    semiflat4
347.408
3/2        702c    perfect 5
720.000
7/4        969c    harm7
839.443
63/32    1173c  suboctave
1200.000
9/4        1404c  maj9             
21/8      1671c  semiflat 11 
189/64  1875c  🐺 tritave     
27/8      2106c  maj13   
4/1        2400c  octave
</pre>
</pre>


==== Slendric plural octave ====
{{navbox scale gallery}}
using a period of 7/4 on slendric generator sequence gives you alot of near-octaves so each octave is a different mode of the same scale
 
<pre>8/7
21/16
3/2
12/7
7/4 (period)
2/1
147/64
21/8
3/1
49/16
7/2
1029/256
147/32
21/4
343/64
49/8
7203/1024
1029/128
147/16
2401/256
343/32
50421/4096
7203/512
1029/64
16807/1024 (5 periods)</pre>
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