User:BudjarnLambeth/WIP XA scales page

(Note to self: to do: update gallery of combination product sets with all new CPS pages from 17 Dec onwards)

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."

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

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)."

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

FilterNashi thujo Hirajoshi scales

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 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
  • 28/23
  • 34/23
  • 73/46
  • 2/1

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

Maeve Gutierrez

see Maeve Gutierrez.

((Add to EDO pages instead))

18edo
* 5L 8s: 2 1 2 1 1 2 1 2 1 1 2 1 1

31edo
* 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
* [[Prodigy]][19]: 5 2 5 4 5 2 5 2 5 2 5 4 5 2 5 2 5 5 2

79edo:
* 180rotator's 9-tone 33\79 scale: 7 13 7 6 7 13 7 6 7 6

((Add to Gutierrez composer page instead))

Doubled wisp

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".

30.000
266.871
296.871
484.920
514.920
669.278
699.278
936.149
966.149
1200.000

Generator sequence 7/6, 9/8, 8/7 (4/1 period)

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"

7/6         267c     sin3
21/16     471c     semiflat4
3/2         702c     perfect 5
7/4         969c     harm7
63/32    1173c   suboctave
9/4         1404c   maj9              
21/8       1671c   semiflat 11   
189/64  1875c   🐺 tritave      
27/8       2106c   maj13    
4/1         2400c   octave

Slendric plural octave

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

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)