Scala analysis: xen18-erlich-sensisept-08
3L 5s MOS for Sensisept, L=180.98, s=131.09
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 131.090 cents 131.090000 2: 312.070 cents 312.070000 3: 443.160 cents 443.160000 4: 574.250 cents 574.250000 5: 755.230 cents 755.230000 6: 886.320 cents 886.320000 7: 1067.300 cents 1067.300000 8: 1198.390 cents 1198.390000
SHOW/INTERVAL
0: 131.0900 cents 131.0900 1: 131.0900 cents 131.0900 2: 180.9800 cents 180.9800 3: 131.0900 cents 131.0900 4: 131.0900 cents 131.0900 5: 180.9800 cents 180.9800 6: 131.0900 cents 131.0900 7: 180.9800 cents 180.9800 8: 131.0900 cents 131.0900
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 5 131.09000 cents 1: 3 180.98000 cents 2: 2 262.18000 cents 2: 6 312.07000 cents 3: 7 443.16000 cents 3: 1 493.05000 cents 4: 4 574.25000 cents 4: 4 624.14000 cents 5: 1 705.34000 cents 5: 7 755.23000 cents 6: 6 886.32000 cents 6: 2 936.21000 cents 7: 3 1017.41000 cents 7: 5 1067.30000 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 : 131.1 312.1 443.2 574.3 755.2 886.3 1067.3 1198.4 131.1 : 181.0 312.1 443.2 624.1 755.2 936.2 1067.3 1198.4 312.1 : 131.1 262.2 443.2 574.2 755.2 886.3 1017.4 1198.4 443.2 : 131.1 312.1 443.2 624.1 755.2 886.3 1067.3 1198.4 574.3 : 181.0 312.1 493.0 624.1 755.2 936.2 1067.3 1198.4 755.2 : 131.1 312.1 443.2 574.2 755.2 886.3 1017.4 1198.4 886.3 : 181.0 312.1 443.2 624.1 755.2 886.3 1067.3 1198.4 1067.3: 131.1 262.2 443.2 574.3 705.3 886.3 1017.4 1198.4 1198.4
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 131.0900 .. 180.9800 cents 49.89000 cents 131.09000 cents 2: 262.1800 .. 312.0700 cents 49.89000 cents 81.20000 cents 3: 443.1600 .. 493.0500 cents 49.89000 cents 131.09000 cents 4: 574.2500 .. 624.1400 cents 49.89000 cents 81.20000 cents 5: 705.3400 .. 755.2300 cents 49.89000 cents 81.20000 cents 6: 886.3200 .. 936.2100 cents 49.89000 cents 131.09000 cents 7: 1017.4100 .. 1067.3000 cents 49.89000 cents 81.20000 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 131.09000 cents, class 1 Average step (divided formal octave): 149.7988 cents Largest one step interval : 180.98000 cents Average / Smallest step : 1.142717 Largest / Average step : 1.208154 Largest / Smallest step : 1.380578 Median interval of one step : 131.09000 cents, amount: 5 Most common interval of one step : 131.09000 cents, amount: 5 Least squares average step : 149.67647 cents, oct.: 1197.41176 cents Scale is strictly proper Scale has Myhill's property chromas: 49.89000 cents and 81.20000 cents, ratio: 1.627581 generators: 3 of 443.16000 cents and 5 of 755.23000 cents ET pair of linear temperament : 19&27 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 1033-tone equal temperament with octave 1198.390 cents degrees: 113 269 382 495 651 764 920 1033 generators: 382 and 651 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 81.20000 cents Scale diversity : 1.226376 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.708584 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 : 49.89000 cents Most common intervals : 443.16000 cents & inv., amount: 7 Scale is a chain of 4 triads 0.0 131.090 755.230 cents Most common triad is 0.0 443.160 755.230 cents, amount: 6 Number of recognisable fifths : 1, average 705.3400 cents Number of recognisable fourths : 1, average 493.0500 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: 14.6253 c. M:-24.9450 c. 19: 2 3 2 2 3 2 3 2 SP M ME SD: 3.8647 c. M: 6.5916 c. 27: 3 4 3 3 4 3 4 3 SP M ME SD: 1.6139 c. M:-2.7526 c. 46: 5 7 5 5 7 5 7 5 SP M DE SD: 0.6490 c. M: 1.1070 c. 73: 8 11 8 8 11 8 11 8 SP M DE SD: 0.1879 c. M:-0.3205 c. 119: 13 18 13 13 18 13 18 13 SP M DE SD: 0.1356 c. M: 0.2313 c. 192: 21 29 21 21 29 21 29 21 SP M DE SD: 0.0126 c. M: 0.0215 c. 649: 71 98 71 71 98 71 98 71 SP M DE SD: 0.0100 c. M:-0.0170 c. 841: 92 127 92 92 127 92 127 92 SP M DE SD: 0.0048 c. M:-0.0082 c. 1033: 113 156 113 113 156 113 156 113 SP M DE SD: 0.0016 c. M:-0.0027 c. 1225: 134 185 134 134 185 134 185 134 SP M DE SD: 0.0006 c. M: 0.0011 c. 2258: 247 341 247 247 341 247 341 247 SP M DE SD: 0.0004 c. M:-0.0007 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 1.6100 cents 2 x x x x 3 x x 4 S SD: 26.6497 cents 3 x x 4 x x 5 x 6 S SD: 18.3145 cents 4 x x 5 x 6:7 x 8 S SD: 28.3720 cents 5 x 6 x 7:8 x 9:10 S SD: 15.4547 cents 6 x 7:8 x 9:10:11:12 S SD: 15.1123 cents 7 x 8:9:10:11:12:13:14 S SD: 15.2765 cents 8:9 x 10:11:12:13:15:16 SD: 17.1652 cents 9:10:11:12:13:14:15:17:18 SD: 13.7062 cents 10:11:12:13:14:15:17:19:20 SD: 10.5816 cents 11:12:13:14:15:17:18:20:22 SD: 8.9619 cents 13:14:16:17:18:20:22:24:26 S SD: 7.4480 cents 15:16:18:19:21:23:25:28:30 SD: 5.6181 cents 20:22:24:26:28:31:33:37:40 SD: 5.2264 cents 24:26:29:31:33:37:40:44:48 SD: 4.3049 cents 25:27:30:32:35:39:42:46:50 SD: 3.5951 cents 27:29:32:35:38:42:45:50:54 SD: 3.5723 cents 35:38:42:45:49:54:58:65:70 SD: 2.6722 cents 40:43:48:52:56:62:67:74:80 SD: 2.1734 cents 49:53:59:63:68:76:82:91:98 SD: 2.1462 cents 51:55:61:66:71:79:85:94:102 SD: 1.2800 cents 66:71:79:85:92:102:110:122:132 SD: 1.0624 cents 76:82:91:98:106:118:127:141:152 SD: 1.0463 cents 100:108:120:129:139:155:167:185:200 SD: 0.9851 cents 102:110:122:132:142:158:170:189:204 SD: 0.6771 cents 117:126:140:151:163:181:195:217:234 SD: 0.5991 cents 168:181:201:217:234:260:280:311:336 SD: 0.4933 cents 178:192:213:230:248:275:297:330:356 SD: 0.4193 cents 203:219:243:262:283:314:339:376:406 SD: 0.3596 cents 254:274:304:328:354:393:424:471:508 SD: 0.3526 cents 278:300:333:359:387:430:464:515:555 SD: 0.3062 cents 305:329:365:394:425:472:509:565:609 SD: 0.2355 cents 353:381:423:456:492:546:589:654:705 SD: 0.2325 cents 384:414:460:496:535:594:641:711:767 SD: 0.2054 cents 419:452:502:541:584:648:699:776:837 SD: 0.1836 cents 435:469:521:562:606:673:726:806:869 SD: 0.1511 cents 470:507:563:607:655:727:784:871:939 SD: 0.1421 cents 521:562:624:673:726:806:869:965:1041 SD: 0.0941 cents