User:BudjarnLambeth/WIP XA scales page

< Gallery of other just intonation scales

< Gallery of other tempered scales

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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."

MOS {LLLLLsLLLLLsLLLLLsLLLLLsLLLLLsLLLLLsLLLLLs;L=1.0174049140626118r;s=1.0128266737669138r}
40.94029613010783r¢
81.810288275117
111.683049326269
141.555810377421
171.428571428572
212.36886755868008r¢
253.238859703689
283.11162075484
312.984381805992
342.857142857144
383.79743898725155r¢
424.667431132261
454.540192183413
484.412953234564
514.285714285716
555.2260104158239r¢
596.096002560832
625.968763611984
655.841524663136
685.714285714288
726.654581844396r¢
767.524573989404
797.397335040556
827.270096091708
857.14285714286
898.083153272968r¢
938.953145417976
968.825906469128
998.69866752028
1028.571428571432
1080.508955795393
1110.381716846545
1140.254477897697
1170.127238948849
1200.000000000000

Bergkirsty Nordic scale

! Just tuning D A E 11-lim tritone.scl
! Created using Scale Workshop 3.1.0
!
! https://sw3.lumipakkanen.com/scale/AluMjUVjA
!
Just tuning D (A, E) 11-lim tritone
 12
!
 16/15 ! F silver
 10/9 ! F# blue
 6/5 ! G blue
 5/4 ! G# silver
 4/3 ! A red
 11/8 ! B♭ blue
 3/2 ! B red
 8/5 ! C silver
 5/3 ! C# blue
 16/9 ! D red
 48/25 ! E♭ silver
 2/1 ! E red

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.

Music

• 'Zutsz' - Domin (2024)
• 'Jam on Domin's Zutsz-11 Scale' - Nick Vuci (2024)

33/32
7/6
77/64
21/16
11/8
3/2
77/48
7/4
11/6
2/1

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 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 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

English Wikipedia has an article on:

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 (rank3)

five-note scale found in 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.

• Scale Workshop link 1
• 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.

13/11
16/11
17/11
19/11
22/11

Tristanbay 12-tone no-5s 11-limit scale

33/32
9/8
7/6
77/64
21/16
11/8
3/2
14/9
77/48
7/4
11/6
2/1

Tristanbay 19-tone 2.3.7.17.19 scale

57/56
19/18
68/63
8/7
19/16
17/14
9/7
4/3
19/14
17/12
3/2
171/112
19/12
34/21
12/7
16/9
38/21
17/9
2/1

Tristanbay 41fg detemper

"41fg detemper with 2 copies of harmonic series mode 16 (16afdo)." (See warts, 41edo.)

49/48
33/32
17/16
69/64
35/32
285/256
9/8
55/48
75/64
19/16
39/32
315/256
5/4
81/64
31/24
21/16
171/128
87/64
11/8
45/32
23/16
93/64
95/64
3/2
49/32
25/16
51/32
13/8
105/64
5/3
27/16
55/32
7/4
57/32
29/16
11/6
15/8
23/12
31/16
63/32
2

Xencoder over-23 primodal Hirajoshi

(See primodality, Hirajōshi scale.)

• 51/46
• 28/23
• 34/23
• 73/46
• 2/1

Zhea Erose primodal Lydians

Described by Zhea Erose. Recommended by Xencoder.

7b Lydian Heptad 
- 14:16:18:20:21:24:27:(28)
 - (+2+2+2+1+3+3+1), 2:3:4 concordance frame 

11b Lydian Heptad
- 22:25:28:31:33:37:42:(44)
 - (+3+3+3+2+4+5+2), 2:3:4 concordance frame

2e Lydian Heptad
- 32:36:40:45:48:54:60:(64)
  - (+4+4+5+3+6+6+4), 2:3:4 concordance frame

17b Lydian Heptad
- 34:38:43:48:51:57:64:(68)
  - (+4+5+5+3+6+7+4), 2:3:4 concordance frame

19b Lydian Heptad
- 38:43:48:54:57:64:72:(76)
  - (+5+5+6+3+7+8+4), 2:3:4 concordance frame

YAML
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

ionian

    26:29:33:35:39:44:49 tridecimal ionian
    26:28:33:35:39:44:49 tridecimal ionian b2

mixolydian

    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

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 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

53.273
119.443
347.408
720.000
773.273
839.443
1067.408
1200.000

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:

	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:

119.443
347.408
720.000
839.443
1200.000