Scala analysis: xen18-erlich-sensipent-11
8L 3s MOS for Sensipent, L=129.38, s=54.85
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: 184.230 cents 184.230000 3: 313.610 cents 313.610000 4: 442.990 cents 442.990000 5: 572.370 cents 572.370000 6: 627.220 cents 627.220000 7: 756.600 cents 756.600000 8: 885.980 cents 885.980000 9: 1015.360 cents 1015.360000 10: 1070.210 cents 1070.210000 11: 1199.590 cents 1199.590000
SHOW/INTERVAL
0: 129.3800 cents 129.3800 1: 129.3800 cents 129.3800 2: 54.8500 cents 54.8500 3: 129.3800 cents 129.3800 4: 129.3800 cents 129.3800 5: 129.3800 cents 129.3800 6: 54.8500 cents 54.8500 7: 129.3800 cents 129.3800 8: 129.3800 cents 129.3800 9: 129.3800 cents 129.3800 10: 54.8500 cents 54.8500 11: 129.3800 cents 129.3800
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 3 54.85000 cents 1: 8 129.38000 cents 2: 6 184.23000 cents 2: 5 258.76000 cents 3: 9 313.61000 cents 3: 2 388.14000 cents 4: 1 368.46000 cents 4: 10 442.99000 cents 5: 4 497.84000 cents 5: 7 572.37000 cents 6: 7 627.22000 cents 6: 4 701.75000 cents 7: 10 756.60000 cents 7: 1 831.13000 cents 8: 2 811.45000 cents 8: 9 885.98000 cents 9: 5 940.83000 cents 9: 6 1015.36000 cents 10: 8 1070.21000 cents 10: 3 1144.74000 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 9 10 11 0.0 : 129.4 184.2 313.6 443.0 572.4 627.2 756.6 886.0 1015.4 1070.2 1199.6 129.4 : 54.8 184.2 313.6 443.0 497.8 627.2 756.6 886.0 940.8 1070.2 1199.6 184.2 : 129.4 258.8 388.1 443.0 572.4 701.7 831.1 886.0 1015.4 1144.7 1199.6 313.6 : 129.4 258.8 313.6 443.0 572.4 701.7 756.6 886.0 1015.4 1070.2 1199.6 443.0 : 129.4 184.2 313.6 443.0 572.4 627.2 756.6 886.0 940.8 1070.2 1199.6 572.4 : 54.9 184.2 313.6 443.0 497.8 627.2 756.6 811.4 940.8 1070.2 1199.6 627.2 : 129.4 258.8 388.1 443.0 572.4 701.7 756.6 886.0 1015.4 1144.7 1199.6 756.6 : 129.4 258.8 313.6 443.0 572.4 627.2 756.6 886.0 1015.4 1070.2 1199.6 886.0 : 129.4 184.2 313.6 443.0 497.8 627.2 756.6 886.0 940.8 1070.2 1199.6 1015.4: 54.8 184.2 313.6 368.5 497.8 627.2 756.6 811.5 940.8 1070.2 1199.6 1070.2: 129.4 258.8 313.6 443.0 572.4 701.7 756.6 886.0 1015.4 1144.7 1199.6 1199.6
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 54.8500 .. 129.3800 cents 74.53000 cents 54.85000 cents 2: 184.2300 .. 258.7600 cents 74.53000 cents 54.85000 cents 3: 313.6100 .. 388.1400 cents 74.53000 cents 54.85000 cents 4: 368.4600 .. 442.9900 cents 74.53000 cents -19.68000 cents 5: 497.8400 .. 572.3700 cents 74.53000 cents 54.85000 cents 6: 627.2200 .. 701.7500 cents 74.53000 cents 54.85000 cents 7: 756.6000 .. 831.1300 cents 74.53000 cents 54.85000 cents 8: 811.4500 .. 885.9800 cents 74.53000 cents -19.68000 cents 9: 940.8300 .. 1015.3600 cents 74.53000 cents 54.85000 cents 10: 1070.2100 .. 1144.7400 cents 74.53000 cents 54.85000 cents
SHOW DATA
Number of notes : 11 -- Interval properties -- Smallest interval : 54.85000 cents, class 1 Average step (divided formal octave): 109.0536 cents Largest one step interval : 129.38000 cents Average / Smallest step : 1.988216 Largest / Average step : 1.186389 Largest / Smallest step : 2.358797 Median interval of one step : 129.38000 cents, amount: 8 Most common interval of one step : 129.38000 cents, amount: 8 Least squares average step : 109.20093 cents, oct.: 1201.21022 cents Scale is not proper Scale has Myhill's property chromas: 74.53000 cents and 19.68000 cents, ratio: 3.787093 generators: 4 of 442.99000 cents and 7 of 756.60000 cents ET pair of linear temperament : 19&46 Scale is distributional even Scale is a mode of a 853-tone equal temperament with octave 1199.590 cents degrees: 92 131 223 315 407 446 538 630 722 761 853 generators: 315 and 538 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAAABAAABA Step pattern size order : LSLLLSLLLSL Scale is a Constant Structure, by a margin of 19.68000 cents Scale diversity : 1.242316 Lumma stability : 0.411516 Lumma impropriety factor : 0.032811 Rothenberg efficiency : 0.727273 redundancy: 0.272727 Efficiency x scale size : 8.000000 Number of different interval sizes : 20 = 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 : 19.68000 cents Most common intervals : 442.99000 cents & inv., amount: 10 Scale is a chain of 5 triads 0.0 442.990 885.980 cents Most common triad is 0.0 442.990 756.600 cents, amount: 9 Number of recognisable fifths : 4, average 701.7500 cents Number of recognisable fourths : 4, average 497.8400 cents Scale contains two identical conjunct pentachords Formal octave complements present : 11 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 5-6 -- Rational properties --
FIT/MODE
11: 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 21.4259 c. M:-33.8773 c. 17: 2 1 1 2 2 1 2 2 1 1 2 N D3 I SD: 20.5442 c. M: 31.3535 c. 18: 2 1 2 2 2 0 2 2 2 1 2 P D3 I SD: 18.8368 c. M: 27.4250 c. 19: 2 1 2 2 2 1 2 2 2 1 2 P M ME I SD: 3.2755 c. M: 5.1789 c. Mandelbaum Eleven out of 19 46: 5 2 5 5 5 2 5 5 5 2 5 N M DE I SD: 1.0649 c. M: 1.6837 c. 65: 7 3 7 7 7 3 7 7 7 3 7 N M DE I SD: 0.2038 c. M:-0.3223 c. 176: 19 8 19 19 19 8 19 19 19 8 19 N M DE I SD: 0.1277 c. M: 0.2020 c. 241: 26 11 26 26 26 11 26 26 26 11 26 N M DE I SD: 0.0383 c. M: 0.0606 c. 306: 33 14 33 33 33 14 33 33 33 14 33 N M DE I SD: 0.0131 c. M: 0.0208 c. 547: 59 25 59 59 59 25 59 59 59 25 59 N M DE I SD: 0.0095 c. M: 0.0151 c. 853: 92 39 92 92 92 39 92 92 92 39 92 N M DE I SD: 0.0014 c. M: 0.0022 c. 2012: 217 92 217 217 217 92 217 217 217 92 217 N M DE I SD: 0.0008 c. M:-0.0013 c.
FIT/HARMONIC
1 x x x x x x x x x x 2 S SD: 0.4100 cents 2 x x x x x x 3 x x x 4 S SD: 27.3233 cents 3 x x x 4 x x x 5 x x 6 S SD: 18.3601 cents 4 x x x 5 x x 6 x 7 x 8 S SD: 22.8635 cents 5 x x 6 x 7 x 8 x 9 x 10 S SD: 11.6121 cents 6 x x 7:8 x x 9:10 x 11:12 S SD: 15.4911 cents 7 x 8 x 9 x 10:11:12 x 13:14 S SD: 10.3577 cents 8 x 9 x 10:11 x 12:13:14:15:16 S SD: 13.4550 cents 9 x 10:11:12 x 13:14:15:16:17:18 S SD: 8.3586 cents 10 x 11:12:13:14 x 15:17:18:19:20 SD: 8.8476 cents 11:12 x 13:14:15:16:17:18:20 x 22 S SD: 7.7944 cents 12:13 x 14:16 x 17:19:20 x 22:24 SD: 11.0693 cents 13:14 x 16:17:18:19:20:22:23:24:26 S SD: 7.1436 cents 15:16:17:18:19:21:22:23:25:27:28:30 SD: 5.9507 cents 16:17:18:19:21:22:23:25:27:29:30:32 SD: 5.4850 cents 17:18:19:20:22:24 x 26:28:31:32:34 SD: 6.9370 cents 18:19:20:22:23:25:26:28:30:32:33:36 SD: 5.5686 cents 20 x 22:24:26:28:29:31:33:36:37:40 SD: 3.5472 cents 21 x 23:25:27:29:30:33:35:38:39:42 SD: 4.4715 cents 22:24 x 26:28:31:32:34:37:40:41:44 SD: 5.7109 cents 23:25:26:28:30:32:33:36:38:41:43:46 SD: 5.0246 cents 24:26:27:29:31:33:34:37:40:43:45:48 SD: 4.1783 cents 25:27:28:30:32:35:36:39:42:45:46:50 SD: 2.9691 cents 34:37:38:41:44:47:49:53:57:61:63:68 SD: 2.7019 cents 35:38:39:42:45:49:50:54:58:63:65:70 SD: 2.2597 cents 44:47:49:53:57:61:63:68:73:79:82:88 SD: 2.1819 cents 48:52:53:58:62:67:69:74:80:86:89:96 SD: 2.1468 cents 51:55:57:61:66:71:73:79:85:92:95:102 SD: 1.3514 cents 62:67:69:74:80:86:89:96:103:111:115:124 SD: 1.3508 cents 64:69:71:77:83:89:92:99:107:115:119:128 SD: 1.1014 cents 82:88:91:98:106:114:118:127:137:147:152:164 SD: 1.0740 cents 89:96:99:107:115:124:128:138:148:160:165:178 SD: 0.8049 cents 90:97:100:108:116:125:129:139:150:162:167:180 SD: 0.7844 cents 115:124:128:138:149:160:165:178:192:207:213:230 SD: 0.6955 cents 117:126:130:140:151:163:168:181:195:210:217:234 SD: 0.5023 cents 151:163:168:181:195:210:217:234:252:271:280:302 SD: 0.4524 cents 181:195:201:217:234:252:260:280:302:325:336:362 SD: 0.3817 cents 206:222:229:247:266:287:296:319:344:370:382:412 SD: 0.3087 cents 247:266:275:296:319:344:355:382:412:444:458:494 SD: 0.2951 cents 257:277:286:308:332:358:369:398:429:462:477:514 SD: 0.2232 cents 268:289:298:321:346:373:385:415:447:482:497:536 SD: 0.2208 cents 332:358:369:398:429:462:477:514:554:597:616:664 SD: 0.1923 cents 401:432:446:481:518:558:576:621:669:721:744:802 SD: 0.1538 cents 500:539:556:599:646:696:718:774:834:899:928:1000 SD: 0.1513 cents 515:555:573:617:665:717:740:797:859:926:956:1030 SD: 0.1493 cents 518:558:576:621:669:721:744:802:864:931:961:1036 SD: 0.1086 cents