tune-cli 0.28.0

Explore musical tunings and create synthesizer tuning files for microtonal scales.
Documentation
==== Properties of 16-EDO ====

- step size: +75.0c
- fret constant: 23.587

---- Val (13-limit) ----

- notation: <16, 25, 37, 45, 55, 59|
- errors (absolute): [-0.0c, -27.0c, -11.3c, +6.2c, -26.3c, -15.5c]
- errors (relative): [-0.0%, -35.9%, -15.1%, +8.2%, -35.1%, -20.7%]
- TE simple badness: 69.918‰
- subgroup: 2.5.7.13

- tempers out 3-limit 43046721/33554432 (Pythagorean double augmented second)
- tempers out 5-limit 135/128 (major chroma, major limma)
- tempers out 5-limit 648/625 (major diesis)
- tempers out 5-limit 2187/2000 (Gorgo limma)
- tempers out 5-limit 3125/3072 (small diesis, magic comma)
- tempers out 5-limit 6115295232/6103515625 (Vishnu comma)
- tempers out 7-limit 36/35 (septimal diesis, 1/4-tone)
- tempers out 7-limit 50/49 (Erlich's decatonic comma, tritonic diesis)
- tempers out 7-limit 126/125 (septimal semicomma, Starling comma)
- tempers out 7-limit 243/224 (Archytas' 2/3-tone)
- tempers out 7-limit 525/512 (Avicenna enharmonic diesis)
- tempers out 7-limit 1029/1024 (gamelan residue)
- tempers out 7-limit 3125/3087 (major BP diesis)
- tempers out 7-limit 6144/6125 (porwell comma)
- tempers out 7-limit 64827/64000 (Squalentine)
- tempers out 7-limit 390625/388962 (dimcomp comma)
- tempers out 11-limit 33/32 (undecimal comma, al-Farabi's 1/4-tone)
- tempers out 11-limit 45/44 (1/5-tone)
- tempers out 11-limit 121/120 (undecimal seconds comma, biyatisma)
- tempers out 11-limit 176/175 (valinorsma)
- tempers out 11-limit 352/343 (supracomma)
- tempers out 11-limit 385/384 (undecimal kleisma, Keemun comma)
- tempers out 11-limit 441/440 (Werckmeister's undecimal septenarian schisma)
- tempers out 11-limit 1331/1323 (aphrowe)
- tempers out 11-limit 3025/3024 (Lehmerisma)
- tempers out 11-limit 234375/234256 (sesdecal)
- tempers out 13-limit 27/26 (tridecimal comma)
- tempers out 13-limit 65/64 (13th-partial chroma)
- tempers out 13-limit 66/65 (Winmeanma)
- tempers out 13-limit 78/77 (tridecimal minor third comma)
- tempers out 13-limit 105/104 (small tridecimal comma)
- tempers out 13-limit 144/143 (Grossma)
- tempers out 13-limit 169/168 (Schulter's comma)
- tempers out 13-limit 275/273 (Garibert comma)
- tempers out 13-limit 640/637 (huntma)
- tempers out 13-limit 847/845 (Cuthbert comma)
- tempers out 13-limit 1001/1000 (fairytale comma)
- tempers out 13-limit 1575/1573 (Nicola)
- tempers out 13-limit 2200/2197 (Parizek comma, petrma)
- tempers out 13-limit 4225/4224 (leprechaun comma)
- tempers out 13-limit 10648/10647 (harmonisma)

- tempered vs. patent location of 7/6: 4 vs. 4
- tempered vs. patent location of 6/5: 4 vs. 4
- tempered vs. patent location of 5/4: 5 vs. 5
- tempered vs. patent location of 4/3: 7 vs. 7
- tempered vs. patent location of 3/2: 9 vs. 9
- tempered vs. patent location of 7/4: 13 vs. 13
- tempered vs. patent location of 2/1: 16 vs. 16

==== Mavila[9] notation ====

- number of cycles: 1
- 1 primary step = 2 EDO steps
- 1 secondary step = 1 EDO steps
- 1 sharp (# or -) = 1 EDO steps (armotonic)

---- Note names ----

   0. D
   1. D#/Eb
   2. E
   3. E#/Fb
   4. F
   5. G
   6. G#/Hb
   7. H
   8. H#/Zb
   9. Z
  10. Z#/Ab
  11. A
  12. B
  13. B#/Cb
  14. C
  15. C#/Db

---- Keyboard layout ----

  11  13  15   1   3   5   7   9  11  13
  12  14   0   2   4   6   8  10  12  14
  13  15   1   3   5   7   9  11  13  15
  14   0   2   4   6   8  10  12  14   0
  15   1   3   5   7   9  11  13  15   1
   0   2   4   6   8  10  12  14   0   2
   1   3   5   7   9  11  13  15   1   3
   2   4   6   8  10  12  14   0   2   4
   3   5   7   9  11  13  15   1   3   5
   4   6   8  10  12  14   0   2   4   6
   5   7   9  11  13  15   1   3   5   7

==== Meantone[7] notation ====

- number of cycles: 1
- 1 primary step = 2 EDO steps
- 1 secondary step = 3 EDO steps
- 1 sharp (# or -) = -1 EDO steps (antidiatonic)

---- Note names ----

   0. D
   1. D+/E-
   2. E
   3. E+
   4. F-
   5. F
   6. F+/G-
   7. G
   8. G+/A-
   9. A
  10. A+/B-
  11. B
  12. B+
  13. C-
  14. C
  15. C+/D-

---- Keyboard layout ----

   1   3   5   7   9  11  13  15   1   3
   4   6   8  10  12  14   0   2   4   6
   7   9  11  13  15   1   3   5   7   9
  10  12  14   0   2   4   6   8  10  12
  13  15   1   3   5   7   9  11  13  15
   0   2   4   6   8  10  12  14   0   2
   3   5   7   9  11  13  15   1   3   5
   6   8  10  12  14   0   2   4   6   8
   9  11  13  15   1   3   5   7   9  11
  12  14   0   2   4   6   8  10  12  14
  15   1   3   5   7   9  11  13  15   1

==== Meantone[5] notation ====

- number of cycles: 1
- 1 primary step = 2 EDO steps
- 1 secondary step = 5 EDO steps
- 1 sharp (# or -) = -3 EDO steps (pentic)

---- Note names ----

   0. D
   1. C+
   2. E
   3. D+
   4. G-
   5. E+
   6. A-
   7. G
   8. E++/C--
   9. A
  10. G+
  11. C-
  12. A+
  13. D-
  14. C
  15. E-

---- Keyboard layout ----

   7   9  11  13  15   1   3   5   7   9
  12  14   0   2   4   6   8  10  12  14
   1   3   5   7   9  11  13  15   1   3
   6   8  10  12  14   0   2   4   6   8
  11  13  15   1   3   5   7   9  11  13
   0   2   4   6   8  10  12  14   0   2
   5   7   9  11  13  15   1   3   5   7
  10  12  14   0   2   4   6   8  10  12
  15   1   3   5   7   9  11  13  15   1
   4   6   8  10  12  14   0   2   4   6
   9  11  13  15   1   3   5   7   9  11

==== Properties of 16b-EDO ====

- step size: +75.0c
- fret constant: 23.587

---- Val (13-limit) ----

- notation: <16, 26, 37, 45, 55, 59|
- errors (absolute): [-0.0c, +48.0c, -11.3c, +6.2c, -26.3c, -15.5c]
- errors (relative): [-0.0%, +64.1%, -15.1%, +8.2%, -35.1%, -20.7%]
- TE simple badness: 181.856‰
- subgroup: 2.5.7.13

- tempers out 3-limit 8192/6561 (Pythagorean diminished fourth)
- tempers out 3-limit 67108864/43046721 (Pythagorean double diminished seventh)
- tempers out 5-limit 25/24 (classic chromatic semitone, minor chroma)
- tempers out 7-limit 49/48 (slendro diesis, septimal 1/6-tone)
- tempers out 7-limit 50/49 (Erlich's decatonic comma, tritonic diesis)
- tempers out 7-limit 2401/2400 (Breedsma)
- tempers out 7-limit 65625/65536 (horwell comma)
- tempers out 7-limit 201768035/201326592 (wadisma)
- tempers out 11-limit 22/21 (undecimal minor semitone)
- tempers out 11-limit 77/72 (undecimal secor)
- tempers out 11-limit 176/175 (valinorsma)
- tempers out 11-limit 352/343 (supracomma)
- tempers out 11-limit 4000/3993 (undecimal schisma)
- tempers out 13-limit 40/39 (tridecimal minor diesis)
- tempers out 13-limit 65/64 (13th-partial chroma)
- tempers out 13-limit 196/195 (mynucuma)
- tempers out 13-limit 364/363 (gentle comma)
- tempers out 13-limit 512/507 (tridecimal neutral third comma)
- tempers out 13-limit 640/637 (huntma)
- tempers out 13-limit 847/845 (Cuthbert comma)
- tempers out 13-limit 1001/1000 (fairytale comma)
- tempers out 13-limit 1716/1715 (lummic comma)
- tempers out 13-limit 2200/2197 (Parizek comma, petrma)

- tempered vs. patent location of 7/6: 3 vs. 4
- tempered vs. patent location of 6/5: 5 vs. 4
- tempered vs. patent location of 5/4: 5 vs. 5
- tempered vs. patent location of 4/3: 6 vs. 7
- tempered vs. patent location of 3/2: 10 vs. 9
- tempered vs. patent location of 7/4: 13 vs. 13
- tempered vs. patent location of 2/1: 16 vs. 16

==== Porcupine[8] notation ====

- number of cycles: 2
- 1 primary step = 2 EDO steps
- 1 secondary step = 2 EDO steps
- 1 sharp (# or -) = 0 EDO steps (equalized)

---- Note names ----

   0. D[0]
   1. D[1]
   2. E[0]
   3. E[1]
   4. F[0]
   5. F[1]
   6. G[0]
   7. G[1]
   8. H[0]
   9. H[1]
  10. A[0]
  11. A[1]
  12. B[0]
  13. B[1]
  14. C[0]
  15. C[1]

---- Keyboard layout ----

  11  13  15   1   3   5   7   9  11  13
  12  14   0   2   4   6   8  10  12  14
  13  15   1   3   5   7   9  11  13  15
  14   0   2   4   6   8  10  12  14   0
  15   1   3   5   7   9  11  13  15   1
   0   2   4   6   8  10  12  14   0   2
   1   3   5   7   9  11  13  15   1   3
   2   4   6   8  10  12  14   0   2   4
   3   5   7   9  11  13  15   1   3   5
   4   6   8  10  12  14   0   2   4   6
   5   7   9  11  13  15   1   3   5   7