==== Properties of 13-EDO ====
- step size: +92.3c
- fret constant: 19.259
---- Val (13-limit) ----
- notation: <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
==== Meantone[5] notation ====
- number of cycles: 1
- 1 primary step = 3 EDO steps
- 1 secondary step = 2 EDO steps
- 1 sharp (# or -) = 1 EDO steps (antipentic)
---- Note names ----
0. D
1. D#
2. Eb
3. E
4. E#/Gb
5. G
6. G#
7. Ab
8. A
9. A#/Cb
10. C
11. C#
12. Db
---- Keyboard layout ----
3 6 9 12 2 5 8 11 1 4
5 8 11 1 4 7 10 0 3 6
7 10 0 3 6 9 12 2 5 8
9 12 2 5 8 11 1 4 7 10
11 1 4 7 10 0 3 6 9 12
0 3 6 9 12 2 5 8 11 1
2 5 8 11 1 4 7 10 0 3
4 7 10 0 3 6 9 12 2 5
6 9 12 2 5 8 11 1 4 7
8 11 1 4 7 10 0 3 6 9
10 0 3 6 9 12 2 5 8 11
==== Tetracot[7] notation ====
- number of cycles: 1
- 1 primary step = 2 EDO steps
- 1 secondary step = 1 EDO steps
- 1 sharp (# or -) = 1 EDO steps (archeotonic)
---- Note names ----
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 ----
8 10 12 1 3 5 7 9 11 0
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
==== Properties of 13b-EDO ====
- step size: +92.3c
- fret constant: 19.259
---- Val (13-limit) ----
- notation: <13, 20, 30, 36, 45, 48|
- errors (absolute): [-0.0c, -55.8c, -17.1c, -45.7c, +2.5c, -9.8c]
- errors (relative): [-0.0%, -60.5%, -18.5%, -49.6%, +2.7%, -10.6%]
- TE simple badness: 183.868‰
- subgroup: 2.5.11.13
- tempers out 3-limit 1594323/1048576 (Pythagorean double augmented fourth)
- tempers out 5-limit 27/25 (large limma, BP small semitone, Zarlino semitone)
- tempers out 5-limit 1125/1024 (double augmented prime)
- tempers out 5-limit 1215/1024 (wide augmented second)
- tempers out 5-limit 3125/3072 (small diesis, magic comma)
- tempers out 5-limit 6561/5120 (acute major third)
- tempers out 7-limit 21/20 (minor semitone)
- tempers out 7-limit 36/35 (septimal diesis, 1/4-tone)
- tempers out 7-limit 49/48 (slendro diesis, septimal 1/6-tone)
- tempers out 7-limit 1728/1715 (Orwell comma)
- tempers out 7-limit 3136/3125 (middle second comma)
- tempers out 7-limit 16875/16807 (small BP diesis, mirkwai comma)
- tempers out 7-limit 18225/16807 (minimal BP chroma)
- tempers out 11-limit 33/32 (undecimal comma, al-Farabi's 1/4-tone)
- tempers out 11-limit 56/55 (undecimal diesis, konbini comma)
- tempers out 11-limit 99/98 (small undecimal comma)
- tempers out 11-limit 385/384 (undecimal kleisma, Keemun comma)
- tempers out 11-limit 4000/3993 (undecimal schisma)
- 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 196/195 (mynucuma)
- tempers out 13-limit 273/256 (Ibn Sina's minor second)
- tempers out 13-limit 364/363 (gentle comma)
- tempers out 13-limit 847/845 (Cuthbert comma)
- tempers out 13-limit 1001/1000 (fairytale comma)
- tempers out 13-limit 2200/2197 (Parizek comma, petrma)
- tempers out 13-limit 4225/4224 (leprechaun comma)
- 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: 3 vs. 3
- tempered vs. patent location of 5/4: 4 vs. 4
- tempered vs. patent location of 4/3: 6 vs. 5
- tempered vs. patent location of 3/2: 7 vs. 8
- tempered vs. patent location of 7/4: 10 vs. 10
- tempered vs. patent location of 2/1: 13 vs. 13
==== Mavila[9] notation ====
- number of cycles: 1
- 1 primary step = 1 EDO steps
- 1 secondary step = 3 EDO steps
- 1 sharp (# or -) = -2 EDO steps (balzano)
---- Note names ----
0. D
1. E
2. F
3. E+/G-
4. F+/H-
5. G
6. H
7. Z
8. A
9. Z+/B-
10. A+/C-
11. B
12. C
---- Keyboard layout ----
11 12 0 1 2 3 4 5 6 7
1 2 3 4 5 6 7 8 9 10
4 5 6 7 8 9 10 11 12 0
7 8 9 10 11 12 0 1 2 3
10 11 12 0 1 2 3 4 5 6
0 1 2 3 4 5 6 7 8 9
3 4 5 6 7 8 9 10 11 12
6 7 8 9 10 11 12 0 1 2
9 10 11 12 0 1 2 3 4 5
12 0 1 2 3 4 5 6 7 8
2 3 4 5 6 7 8 9 10 11
==== Meantone[7] notation ====
- number of cycles: 1
- 1 primary step = 1 EDO steps
- 1 secondary step = 4 EDO steps
- 1 sharp (# or -) = -3 EDO steps (antidiatonic)
---- Note names ----
0. D
1. E
2. C+/F-
3. D+/G-
4. E+/A-
5. F
6. G
7. A
8. B
9. G+/C-
10. A+/D-
11. B+/E-
12. C
---- Keyboard layout ----
6 7 8 9 10 11 12 0 1 2
10 11 12 0 1 2 3 4 5 6
1 2 3 4 5 6 7 8 9 10
5 6 7 8 9 10 11 12 0 1
9 10 11 12 0 1 2 3 4 5
0 1 2 3 4 5 6 7 8 9
4 5 6 7 8 9 10 11 12 0
8 9 10 11 12 0 1 2 3 4
12 0 1 2 3 4 5 6 7 8
3 4 5 6 7 8 9 10 11 12
7 8 9 10 11 12 0 1 2 3