Scala analysis: xen18-erlich-sensipent-08
3L 5s MOS for Sensipent, L=184.23, s=129.38
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 129.380 cents 129.380000 2: 313.610 cents 313.610000 3: 442.990 cents 442.990000 4: 572.370 cents 572.370000 5: 756.600 cents 756.600000 6: 885.980 cents 885.980000 7: 1070.210 cents 1070.210000 8: 1199.590 cents 1199.590000
SHOW/INTERVAL
0: 129.3800 cents 129.3800 1: 129.3800 cents 129.3800 2: 184.2300 cents 184.2300 3: 129.3800 cents 129.3800 4: 129.3800 cents 129.3800 5: 184.2300 cents 184.2300 6: 129.3800 cents 129.3800 7: 184.2300 cents 184.2300 8: 129.3800 cents 129.3800
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 5 129.38000 cents 1: 3 184.23000 cents 2: 2 258.76000 cents 2: 6 313.61000 cents 3: 7 442.99000 cents 3: 1 497.84000 cents 4: 4 572.37000 cents 4: 4 627.22000 cents 5: 1 701.75000 cents 5: 7 756.60000 cents 6: 6 885.98000 cents 6: 2 940.83000 cents 7: 3 1015.36000 cents 7: 5 1070.21000 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 6 7 8 0.0 : 129.4 313.6 443.0 572.4 756.6 886.0 1070.2 1199.6 129.4 : 184.2 313.6 443.0 627.2 756.6 940.8 1070.2 1199.6 313.6 : 129.4 258.8 443.0 572.4 756.6 886.0 1015.4 1199.6 443.0 : 129.4 313.6 443.0 627.2 756.6 886.0 1070.2 1199.6 572.4 : 184.2 313.6 497.8 627.2 756.6 940.8 1070.2 1199.6 756.6 : 129.4 313.6 443.0 572.4 756.6 886.0 1015.4 1199.6 886.0 : 184.2 313.6 443.0 627.2 756.6 886.0 1070.2 1199.6 1070.2: 129.4 258.8 443.0 572.4 701.7 886.0 1015.4 1199.6 1199.6
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 129.3800 .. 184.2300 cents 54.85000 cents 129.38000 cents 2: 258.7600 .. 313.6100 cents 54.85000 cents 74.53000 cents 3: 442.9900 .. 497.8400 cents 54.85000 cents 129.38000 cents 4: 572.3700 .. 627.2200 cents 54.85000 cents 74.53000 cents 5: 701.7500 .. 756.6000 cents 54.85000 cents 74.53000 cents 6: 885.9800 .. 940.8300 cents 54.85000 cents 129.38000 cents 7: 1015.3600 .. 1070.2100 cents 54.85000 cents 74.53000 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 129.38000 cents, class 1 Average step (divided formal octave): 149.9487 cents Largest one step interval : 184.23000 cents Average / Smallest step : 1.158979 Largest / Average step : 1.228620 Largest / Smallest step : 1.423945 Median interval of one step : 129.38000 cents, amount: 5 Most common interval of one step : 129.38000 cents, amount: 5 Least squares average step : 149.81431 cents, oct.: 1198.51451 cents Scale is strictly proper Scale has Myhill's property chromas: 54.85000 cents and 74.53000 cents, ratio: 1.358797 generators: 3 of 442.99000 cents and 5 of 756.60000 cents ET pair of linear temperament : 19&46 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 853-tone equal temperament with octave 1199.590 cents degrees: 92 223 315 407 538 630 761 853 generators: 315 and 538 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAABABA Step pattern size order : SLSSLSLS Scale is a Constant Structure, by a margin of 74.53000 cents Scale diversity : 1.235937 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.679932 Rothenberg efficiency : 0.750000 redundancy: 0.250000 Efficiency x scale size : 6.000000 Number of different interval sizes : 14 = 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 : 54.85000 cents Most common intervals : 442.99000 cents & inv., amount: 7 Scale is a chain of 4 triads 0.0 129.380 756.600 cents Most common triad is 0.0 442.990 756.600 cents, amount: 6 Number of recognisable fifths : 1, average 701.7500 cents Number of recognisable fourths : 1, average 497.8400 cents Scale contains two identical disjunct tetrachords Best fifths form a closed circle Formal octave complements present : 7 = 87.5000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 3 Inversional symmetry on intervals : 1-2 5-6 -- Rational properties --
FIT/MODE
8: 1 1 1 1 1 1 1 1 SP B ME I SD: 16.0793 c. M:-27.4250 c. 11: 1 2 1 1 2 1 2 1 P M ME SD: 15.8898 c. M: 27.1018 c. 19: 2 3 2 2 3 2 3 2 SP M ME SD: 2.4291 c. M: 4.1432 c. 46: 5 7 5 5 7 5 7 5 SP M DE SD: 0.7897 c. M:-1.3470 c. 65: 7 10 7 7 10 7 10 7 SP M DE SD: 0.1512 c. M: 0.2578 c. 176: 19 27 19 19 27 19 27 19 SP M DE SD: 0.0947 c. M:-0.1616 c. 241: 26 37 26 26 37 26 37 26 SP M DE SD: 0.0284 c. M:-0.0485 c. 306: 33 47 33 33 47 33 47 33 SP M DE SD: 0.0097 c. M: 0.0166 c. 547: 59 84 59 59 84 59 84 59 SP M DE SD: 0.0071 c. M:-0.0121 c. 853: 92 131 92 92 131 92 131 92 SP M DE SD: 0.0010 c. M:-0.0018 c. 2012: 217 309 217 217 309 217 309 217 SP M DE SD: 0.0006 c. M: 0.0010 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 0.4100 cents 2 x x x x 3 x x 4 S SD: 27.3233 cents 3 x x 4 x x 5 x 6 S SD: 18.3601 cents 4 x x 5 x 6:7 x 8 S SD: 28.5722 cents 5 x 6 x 7:8 x 9:10 S SD: 15.6642 cents 6 x 7:8 x 9:10:11:12 S SD: 15.4911 cents 7 x 8:9:10:11:12:13:14 S SD: 15.5114 cents 8:9 x 10:11:12:13:15:16 SD: 17.2546 cents 9:10:11:12:13:14:15:17:18 SD: 13.7701 cents 10:11:12:13:14:15:17:19:20 SD: 10.6325 cents 11:12:13:14:15:17:18:20:22 SD: 9.1129 cents 13:14:16:17:18:20:22:24:26 S SD: 7.3471 cents 15:16:18:19:21:23:25:28:30 SD: 5.5092 cents 20:22:24:26:28:31:33:37:40 SD: 5.4419 cents 21:23:25:27:29:33:35:39:42 SD: 5.3778 cents 24:26:29:31:33:37:40:45:48 SD: 4.1551 cents 25:27:30:32:35:39:42:46:50 SD: 3.7540 cents 31:33:37:40:43:48:52:58:62 SD: 3.6100 cents 34:37:41:44:47:53:57:63:68 SD: 3.4736 cents 35:38:42:45:49:54:58:65:70 SD: 2.8186 cents 40:43:48:52:56:62:67:74:80 SD: 2.2745 cents 49:53:59:63:68:76:82:91:98 SD: 1.9168 cents 51:55:61:66:71:79:85:95:102 SD: 1.0853 cents 75:81:90:97:104:116:125:139:150 SD: 1.0848 cents 76:82:91:98:106:118:127:141:152 SD: 0.9960 cents 90:97:108:116:125:139:150:167:180 SD: 0.8869 cents 102:110:122:132:142:158:170:189:204 SD: 0.7533 cents 117:126:140:151:163:181:195:217:234 SD: 0.5465 cents 130:140:156:168:181:201:217:241:260 SD: 0.4853 cents 166:179:199:214:231:257:277:308:332 SD: 0.4447 cents 181:195:217:234:252:280:302:336:362 SD: 0.3002 cents 257:277:308:332:358:398:429:477:514 SD: 0.2587 cents 332:358:398:429:462:514:554:616:664 SD: 0.1977 cents 347:374:416:448:483:537:579:644:694 SD: 0.1573 cents 449:484:538:580:625:695:749:833:898 SD: 0.1263 cents 518:558:621:669:721:802:864:961:1036 SD: 0.1182 cents 569:613:682:735:792:881:949:1056:1138 SD: 0.1071 cents