==== Properties of 15-EDO stretched by -7.9c ====

-- Patent val (13-limit) --
val: <15, 24, 35, 42, 52, 56|
errors (absolute): [-7.9c, +5.3c, -4.9c, -31.1c, -18.9c, +9.8c]
errors (relative): [-10.0%, +6.7%, -6.1%, -39.1%, -23.7%, +12.3%]
TE simple badness: 37.708‰
subgroup: 2.3.5.11.13

- supports porcupine temperament
- tempers out 3-limit 256/243 (limma, Pythagorean minor second)
- tempers out 3-limit 65536/59049 (Pythagorean diminished third)
- tempers out 3-limit 16777216/14348907 (Pythagorean double diminished fourth)
- tempers out 5-limit 128/125 (minor diesis, diesis)
- tempers out 5-limit 250/243 (maximal diesis, Porcupine comma)
- tempers out 5-limit 15625/15552 (kleisma, semicomma majeur)
- tempers out 5-limit 1953125/1889568 (Shibboleth comma)
- tempers out 7-limit 28/27 (Archytas' 1/3-tone)
- tempers out 7-limit 49/48 (slendro diesis, septimal 1/6-tone)
- tempers out 7-limit 64/63 (septimal comma, Archytas' comma)
- tempers out 7-limit 126/125 (septimal semicomma, Starling comma)
- tempers out 7-limit 875/864 (keema)
- tempers out 7-limit 1029/1000 (keega)
- tempers out 7-limit 1029/1024 (gamelan residue)
- tempers out 7-limit 4000/3969 (small septimal comma)
- tempers out 7-limit 6144/6125 (porwell comma)
- tempers out 7-limit 15625/15309 (great BP diesis)
- tempers out 7-limit 16807/16384 (cloudy)
- tempers out 7-limit 64827/64000 (Squalentine)
- tempers out 7-limit 250047/250000 (Landscape comma)
- tempers out 11-limit 55/54 (telepathma)
- tempers out 11-limit 56/55 (undecimal diesis, konbini comma)
- tempers out 11-limit 100/99 (Ptolemy's comma)
- tempers out 11-limit 121/120 (undecimal seconds comma, biyatisma)
- tempers out 11-limit 176/175 (valinorsma)
- tempers out 11-limit 245/242 (Nautilus comma)
- 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 1344/1331 (hemimin)
- tempers out 11-limit 3025/3024 (Lehmerisma)
- tempers out 11-limit 4000/3993 (undecimal schisma)
- tempers out 11-limit 65536/65219 (orgonisma)
- tempers out 13-limit 40/39 (tridecimal minor diesis)
- tempers out 13-limit 66/65 (Winmeanma)
- tempers out 13-limit 91/90 (medium tridecimal comma, superleap)
- tempers out 13-limit 105/104 (small tridecimal comma)
- tempers out 13-limit 144/143 (Grossma)
- tempers out 13-limit 275/273 (Garibert comma)
- tempers out 13-limit 325/324 (marveltwin)
- tempers out 13-limit 364/363 (gentle comma)
- tempers out 13-limit 640/637 (huntma)
- tempers out 13-limit 676/675 (island comma)
- tempers out 13-limit 1001/1000 (fairytale comma)
- tempers out 13-limit 1188/1183 (kestrel comma)
- tempers out 13-limit 1575/1573 (Nicola)
- tempers out 13-limit 2080/2079 (ibnsinma)
- tempers out 13-limit 6656/6655 (jacobin comma)

Tempered vs. patent location of 7/6: 3 vs. 3
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: 6 vs. 6
Tempered vs. patent location of 3/2: 9 vs. 9
Tempered vs. patent location of 7/4: 12 vs. 12
Tempered vs. patent location of 2/1: 15 vs. 15

== Meantone notation ==

-- Step sizes --
Number of cycles: 3
1 primary step = 3 EDO steps
1 secondary step = 0 EDO steps
1 sharp (# or -) = 3 EDO steps (diatonic)

-- Scale steps --
  0. D[0]
  1. D[1]
  2. D[2]
  3. (E/F)[0]
  4. (E/F)[1]
  5. (E/F)[2]
  6. G[0]
  7. G[1]
  8. G[2]
  9. A[0]
 10. A[1]
 11. A[2]
 12. (B/C)[0]
 13. (B/C)[1]
 14. (B/C)[2]

-- Keyboard layout --
 11  14  2   5   8   11  14  2   5   8  
 12  0   3   6   9   12  0   3   6   9  
 13  1   4   7   10  13  1   4   7   10 
 14  2   5   8   11  14  2   5   8   11 
 0   3   6   9   12  0   3   6   9   12 
 1   4   7   10  13  1   4   7   10  13 
 2   5   8   11  14  2   5   8   11  14 
 3   6   9   12  0   3   6   9   12  0  
 4   7   10  13  1   4   7   10  13  1  
 5   8   11  14  2   5   8   11  14  2  

== Porcupine notation ==

-- Step sizes --
Number of cycles: 1
1 primary step = 2 EDO steps
1 secondary step = 3 EDO steps
1 sharp (# or -) = -1 EDO steps (antiarcheotonic)

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

-- Keyboard layout --
 3   5   7   9   11  13  0   2   4   6  
 6   8   10  12  14  1   3   5   7   9  
 9   11  13  0   2   4   6   8   10  12 
 12  14  1   3   5   7   9   11  13  0  
 0   2   4   6   8   10  12  14  1   3  
 3   5   7   9   11  13  0   2   4   6  
 6   8   10  12  14  1   3   5   7   9  
 9   11  13  0   2   4   6   8   10  12 
 12  14  1   3   5   7   9   11  13  0  
 0   2   4   6   8   10  12  14  1   3  
