==== Properties of 7-EDO ==== - step size: +171.4c - fret constant: 10.607 ---- Val (13-limit) ---- - notation: <7, 11, 16, 20, 24, 26| - errors (absolute): [-0.0c, -16.2c, -43.5c, +59.7c, -37.0c, +16.6c] - errors (relative): [-0.0%, -9.5%, -25.3%, +34.9%, -21.6%, +9.7%] - TE simple badness: 35.489‰ - subgroup: 2.3.13 - tempers out 3-limit 2187/2048 (apotome) - tempers out 3-limit 4782969/4194304 (Pythagorean double augmented prime) - tempers out 5-limit 25/24 (classic chromatic semitone, minor chroma) - tempers out 5-limit 81/80 (syntonic comma, Didymus comma) - tempers out 5-limit 135/128 (major chroma, major limma) - tempers out 5-limit 250/243 (maximal diesis, Porcupine comma) - tempers out 5-limit 1125/1024 (double augmented prime) - tempers out 5-limit 6561/6400 (Mathieu superdiesis) - tempers out 5-limit 20000/19683 (minimal diesis) - tempers out 5-limit 1600000/1594323 (Amity comma, kleisma - schisma) - tempers out 5-limit 5000000/4782969 (sevond) - tempers out 5-limit 129140163/128000000 (gravity comma) - tempers out 7-limit 15/14 (major diatonic semitone) - tempers out 7-limit 36/35 (septimal diesis, 1/4-tone) - tempers out 7-limit 54/49 (Zalzal's mujannab) - tempers out 7-limit 64/63 (septimal comma, Archytas' comma) - tempers out 7-limit 125/112 (classic augmented semitone) - tempers out 7-limit 243/224 (Archytas' 2/3-tone) - tempers out 7-limit 256/245 (septimal minor semitone) - 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 875/864 (keema) - tempers out 7-limit 4375/4374 (ragisma) - tempers out 7-limit 5120/5103 (Beta 5, Garibaldi comma) - tempers out 7-limit 6144/6125 (porwell comma) - tempers out 7-limit 6561/6125 (BP major link) - tempers out 7-limit 33075/32768 (mirwomo comma) - tempers out 11-limit 22/21 (undecimal minor semitone) - 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 55/49 (quasi-equal major second) - tempers out 11-limit 55/54 (telepathma) - 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 243/242 (neutral third comma, rastma) - tempers out 11-limit 385/384 (undecimal kleisma, Keemun comma) - tempers out 11-limit 729/704 (undecimal major diesis) - tempers out 11-limit 4000/3993 (undecimal schisma) - tempers out 11-limit 6655/6561 (Triple BP comma) - tempers out 11-limit 65536/65219 (orgonisma) - tempers out 13-limit 27/26 (tridecimal comma) - tempers out 13-limit 40/39 (tridecimal minor diesis) - 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 325/324 (marveltwin) - tempers out 13-limit 351/350 (ratwolf comma) - tempers out 13-limit 352/351 (minthma) - tempers out 13-limit 512/507 (tridecimal neutral third comma) - tempers out 13-limit 847/845 (Cuthbert comma) - tempers out 13-limit 1053/1024 (tridecimal major diesis) - tempers out 13-limit 1575/1573 (Nicola) - tempers out 13-limit 2080/2079 (ibnsinma) - tempers out 13-limit 4096/4095 (tridecimal schisma, Sagittal schismina) - tempers out 13-limit 4225/4224 (leprechaun comma) - tempers out 13-limit 123201/123200 (chalmersia) - tempered vs. patent location of 7/6: 2 vs. 2 - tempered vs. patent location of 6/5: 2 vs. 2 - tempered vs. patent location of 5/4: 2 vs. 2 - tempered vs. patent location of 4/3: 3 vs. 3 - tempered vs. patent location of 3/2: 4 vs. 4 - tempered vs. patent location of 7/4: 6 vs. 6 - tempered vs. patent location of 2/1: 7 vs. 7 ==== Meantone[7] notation ==== - number of cycles: 1 - 1 primary step = 1 EDO steps - 1 secondary step = 1 EDO steps - 1 sharp (# or -) = 0 EDO steps (equalized) ---- Note names ---- 0. D 1. E 2. F 3. G 4. A 5. B 6. C ---- Keyboard layout ---- 0 1 2 3 4 5 6 0 1 2 0 1 2 3 4 5 6 0 1 2 0 1 2 3 4 5 6 0 1 2 0 1 2 3 4 5 6 0 1 2 0 1 2 3 4 5 6 0 1 2 0 1 2 3 4 5 6 0 1 2 0 1 2 3 4 5 6 0 1 2 0 1 2 3 4 5 6 0 1 2 0 1 2 3 4 5 6 0 1 2 0 1 2 3 4 5 6 0 1 2 0 1 2 3 4 5 6 0 1 2 ==== Meantone[5] notation ==== - number of cycles: 1 - 1 primary step = 1 EDO steps - 1 secondary step = 2 EDO steps - 1 sharp (# or -) = -1 EDO steps (pentic) ---- Note names ---- 0. D 1. E 2. E+/G- 3. G 4. A 5. A+/C- 6. C ---- Keyboard layout ---- 4 5 6 0 1 2 3 4 5 6 6 0 1 2 3 4 5 6 0 1 1 2 3 4 5 6 0 1 2 3 3 4 5 6 0 1 2 3 4 5 5 6 0 1 2 3 4 5 6 0 0 1 2 3 4 5 6 0 1 2 2 3 4 5 6 0 1 2 3 4 4 5 6 0 1 2 3 4 5 6 6 0 1 2 3 4 5 6 0 1 1 2 3 4 5 6 0 1 2 3 3 4 5 6 0 1 2 3 4 5 ==== Tetracot[7] notation ==== - number of cycles: 1 - 1 primary step = 1 EDO steps - 1 secondary step = 1 EDO steps - 1 sharp (# or -) = 0 EDO steps (equalized) ---- Note names ---- 0. D 1. E 2. F 3. G 4. A 5. B 6. C ---- Keyboard layout ---- 0 1 2 3 4 5 6 0 1 2 0 1 2 3 4 5 6 0 1 2 0 1 2 3 4 5 6 0 1 2 0 1 2 3 4 5 6 0 1 2 0 1 2 3 4 5 6 0 1 2 0 1 2 3 4 5 6 0 1 2 0 1 2 3 4 5 6 0 1 2 0 1 2 3 4 5 6 0 1 2 0 1 2 3 4 5 6 0 1 2 0 1 2 3 4 5 6 0 1 2 0 1 2 3 4 5 6 0 1 2