==== Properties of 13-EDO ====

-- Patent val (13-limit) --
val: <13, 21, 30, 36, 45, 48|
errors (absolute): [-0.0c, +36.5c, -17.1c, -45.7c, +2.5c, -9.8c]
errors (relative): [-0.0%, +39.5%, -18.5%, -49.6%, +2.7%, -10.6%]
TE simple badness: 100.661‰
subgroup: 2.5.11.13

- tempers out 3-limit 2097152/1594323 (Pythagorean double diminished fifth)
- tempers out 5-limit 25/24 (classic chromatic semitone, minor chroma)
- tempers out 5-limit 2560/2187 (grave minor third)
- tempers out 5-limit 4096/3645 (narrow diminished third)
- tempers out 5-limit 262144/253125 (Passion comma)
- tempers out 5-limit 2109375/2097152 (semicomma, Fokker's comma)
- tempers out 7-limit 49/45 (BP minor semitone)
- tempers out 7-limit 64/63 (septimal comma, Archytas' comma)
- tempers out 7-limit 525/512 (Avicenna enharmonic diesis)
- tempers out 7-limit 625/567 (BP great semitone, major BP chroma)
- tempers out 7-limit 1029/1000 (keega)
- tempers out 7-limit 3125/3087 (major BP diesis)
- tempers out 7-limit 3136/3125 (middle second comma)
- tempers out 7-limit 33075/32768 (mirwomo comma)
- tempers out 7-limit 64827/64000 (Squalentine)
- tempers out 11-limit 56/55 (undecimal diesis, konbini comma)
- tempers out 11-limit 77/72 (undecimal secor)
- tempers out 11-limit 88/81 (2nd undecimal neutral second)
- tempers out 11-limit 121/120 (undecimal seconds comma, biyatisma)
- tempers out 11-limit 441/440 (Werckmeister's undecimal septenarian schisma)
- tempers out 11-limit 1331/1323 (aphrowe)
- tempers out 11-limit 1344/1331 (hemimin)
- tempers out 13-limit 40/39 (tridecimal minor diesis)
- tempers out 13-limit 65/64 (13th-partial chroma)
- tempers out 13-limit 105/104 (small tridecimal comma)
- tempers out 13-limit 169/168 (Schulter's comma)
- tempers out 13-limit 275/273 (Garibert comma)
- tempers out 13-limit 512/507 (tridecimal neutral third comma)
- 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 4096/4095 (tridecimal schisma, Sagittal schismina)
- tempers out 13-limit 6656/6655 (jacobin comma)
- tempers out 13-limit 10648/10647 (harmonisma)

Tempered vs. patent location of 7/6: 2 vs. 3
Tempered vs. patent location of 6/5: 4 vs. 3
Tempered vs. patent location of 5/4: 4 vs. 4
Tempered vs. patent location of 4/3: 5 vs. 5
Tempered vs. patent location of 3/2: 8 vs. 8
Tempered vs. patent location of 7/4: 10 vs. 10
Tempered vs. patent location of 2/1: 13 vs. 13

== Porcupine notation ==

-- Step sizes --
Number of cycles: 1
1 primary step = 2 EDO steps
1 secondary step = 1 EDO steps
1 sharp (# or -) = 1 EDO steps (archeotonic)

-- Scale steps --
  0. D
  1. D#/Eb
  2. E
  3. E#/Fb
  4. F
  5. F#/Gb
  6. G
  7. A
  8. A#/Bb
  9. B
 10. B#/Cb
 11. C
 12. C#/Db

-- Keyboard layout --
 9   11  0   2   4   6   8   10  12  1  
 10  12  1   3   5   7   9   11  0   2  
 11  0   2   4   6   8   10  12  1   3  
 12  1   3   5   7   9   11  0   2   4  
 0   2   4   6   8   10  12  1   3   5  
 1   3   5   7   9   11  0   2   4   6  
 2   4   6   8   10  12  1   3   5   7  
 3   5   7   9   11  0   2   4   6   8  
 4   6   8   10  12  1   3   5   7   9  
 5   7   9   11  0   2   4   6   8   10 
