Scala analysis: xen18-erlich-father-05
3L 2s MOS for Father, L=291.1, s=156.3
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 291.100 cents 291.100000 2: 447.400 cents 447.400000 3: 738.500 cents 738.500000 4: 894.800 cents 894.800000 5: 1185.900 cents 1185.900000
SHOW/INTERVAL
0: 291.1000 cents 291.1000 1: 291.1000 cents 291.1000 2: 156.3000 cents 156.3000 3: 291.1000 cents 291.1000 4: 156.3000 cents 156.3000 5: 291.1000 cents 291.1000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 156.30000 cents 1: 3 291.10000 cents 2: 4 447.40000 cents 2: 1 582.20000 cents 3: 1 603.70000 cents 3: 4 738.50000 cents 4: 3 894.80000 cents 4: 2 1029.60000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 2.00000 = 2
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 291.1 447.4 738.5 894.8 1185.9 291.1 : 156.3 447.4 603.7 894.8 1185.9 447.4 : 291.1 447.4 738.5 1029.6 1185.9 738.5 : 156.3 447.4 738.5 894.8 1185.9 894.8 : 291.1 582.2 738.5 1029.6 1185.9 1185.9
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 156.3000 .. 291.1000 cents 134.80000 cents 156.30000 cents 2: 447.4000 .. 582.2000 cents 134.80000 cents 156.30000 cents 3: 603.7000 .. 738.5000 cents 134.80000 cents 21.50000 cents 4: 894.8000 .. 1029.6000 cents 134.80000 cents 156.30000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 156.30000 cents, class 1 Average step (divided formal octave): 237.1800 cents Largest one step interval : 291.10000 cents Average / Smallest step : 1.517466 Largest / Average step : 1.227338 Largest / Smallest step : 1.862444 Median interval of one step : 291.10000 cents, amount: 3 Most common interval of one step : 291.10000 cents, amount: 3 Least squares average step : 234.72909 cents, oct.: 1173.64545 cents Scale is strictly proper Scale has Myhill's property chromas: 134.80000 cents and 21.50000 cents, ratio: 6.269767 generators: 2 of 447.40000 cents and 3 of 738.50000 cents ET pair of linear temperament : 53&167 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 607-tone equal temperament with octave 1185.900 cents degrees: 149 229 378 458 607 generators: 229 and 378 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABABA Step pattern size order : LSLSL Scale is a Constant Structure, by a margin of 21.50000 cents Scale diversity : 1.325023 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.545324 Rothenberg efficiency : 0.800000 redundancy: 0.200000 Efficiency x scale size : 4.000000 Number of different interval sizes : 8 = 2.00000 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 2.00000 = 2 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 21.50000 cents Most common intervals : 447.40000 cents & inv., amount: 4 Scale is a chain of 2 triads 0.0 447.400 894.800 cents Most common triad is 0.0 447.400 738.500 cents, amount: 3 Number of recognisable fifths : 0 Number of recognisable fourths : 0 Best fifths form a closed circle Formal octave complements present : 5 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 2-3 -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 38.1272 c. M: 53.9200 c. 8: 2 1 2 1 2 P M ME I SD: 3.8007 c. M: 5.3750 c. 29: 7 4 7 4 7 SP M DE I SD: 3.4282 c. M: 4.8483 c. 37: 9 5 9 5 9 SP M DE I SD: 1.8652 c. M: 2.6378 c. 45: 11 6 11 6 11 SP M DE I SD: 0.8580 c. M: 1.2133 c. 53: 13 7 13 7 13 SP M DE I SD: 0.1548 c. M: 0.2189 c. 114: 28 15 28 15 28 SP M DE I SD: 0.1228 c. M: 0.1737 c. 167: 41 22 41 22 41 SP M DE I SD: 0.0347 c. M: 0.0491 c. 220: 54 29 54 29 54 SP M DE I SD: 0.0109 c. M: 0.0155 c. 387: 95 51 95 51 95 SP M DE I SD: 0.0088 c. M: 0.0124 c. 607: 149 80 149 80 149 SP M DE I SD: 0.0016 c. M: 0.0023 c. 1434: 352 189 352 189 352 SP M DE I SD: 0.0003 c. M: 0.0004 c. 2041: 501 269 501 269 501 SP M DE I SD: 0.0003 c. M: 0.0004 c.
FIT/HARMONIC
1 x x x x 2 S SD: 14.1000 cents 2 x x 3 x 4 S SD: 19.5854 cents 3 x 4 x 5:6 S SD: 17.8660 cents 4 x 5:6:7:8 S SD: 25.9154 cents 5:6 x 8 x 10 S SD: 26.7791 cents 6:7:8:9:10:12 S SD: 13.8497 cents 10:12:13:15:17:20 SD: 10.4909 cents 13:15:17:20:22:26 SD: 10.3490 cents 15:18:19:23:25:30 SD: 9.7329 cents 16:19:21:25:27:32 SD: 9.1076 cents 17:20:22:26:29:34 SD: 6.9071 cents 21:25:27:32:35:42 SD: 5.1425 cents 27:32:35:41:45:54 SD: 4.7105 cents 28:33:36:43:47:56 SD: 4.0785 cents 34:40:44:52:57:67 SD: 3.0854 cents 38:45:49:58:64:75 SD: 3.0582 cents 43:51:56:66:72:85 SD: 2.6138 cents 50:59:65:77:84:99 SD: 2.6124 cents 54:64:70:83:91:107 SD: 2.2318 cents 55:65:71:84:92:109 SD: 1.7986 cents 64:76:83:98:107:127 SD: 1.7265 cents 65:77:84:100:109:129 SD: 1.6790 cents 71:84:92:109:119:141 SD: 0.8606 cents 109:129:141:167:183:216 SD: 0.6865 cents 115:136:149:176:193:228 SD: 0.5718 cents 180:213:233:276:302:357 SD: 0.4006 cents 186:220:241:285:312:369 SD: 0.2786 cents 306:362:396:469:513:607 SD: 0.2669 cents 312:369:404:478:523:619 SD: 0.1598 cents 421:498:545:645:706:835 SD: 0.1415 cents 492:582:637:754:825:976 SD: 0.1387 cents 502:594:650:769:842:996 SD: 0.1355 cents 600:710:777:919:1006:1190 SD: 0.1307 cents