Scala analysis: xen18-erlich-negripent-08
1L 7s MOS for Negripent, L=318.84, s=126.14
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 126.140 cents 126.140000 2: 252.280 cents 252.280000 3: 378.420 cents 378.420000 4: 504.560 cents 504.560000 5: 823.400 cents 823.400000 6: 949.540 cents 949.540000 7: 1075.680 cents 1075.680000 8: 1201.820 cents 1201.820000
SHOW/INTERVAL
0: 126.1400 cents 126.1400 1: 126.1400 cents 126.1400 2: 126.1400 cents 126.1400 3: 126.1400 cents 126.1400 4: 126.1400 cents 126.1400 5: 318.8400 cents 318.8400 6: 126.1400 cents 126.1400 7: 126.1400 cents 126.1400 8: 126.1400 cents 126.1400
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 7 126.14000 cents 1: 1 318.84000 cents 2: 6 252.28000 cents 2: 2 444.98000 cents 3: 5 378.42000 cents 3: 3 571.12000 cents 4: 4 504.56000 cents 4: 4 697.26000 cents 5: 3 630.70000 cents 5: 5 823.40000 cents 6: 2 756.84000 cents 6: 6 949.54000 cents 7: 1 882.98000 cents 7: 7 1075.68000 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 : 126.1 252.3 378.4 504.6 823.4 949.5 1075.7 1201.8 126.1 : 126.1 252.3 378.4 697.3 823.4 949.5 1075.7 1201.8 252.3 : 126.1 252.3 571.1 697.3 823.4 949.5 1075.7 1201.8 378.4 : 126.1 445.0 571.1 697.3 823.4 949.5 1075.7 1201.8 504.6 : 318.8 445.0 571.1 697.3 823.4 949.5 1075.7 1201.8 823.4 : 126.1 252.3 378.4 504.6 630.7 756.8 883.0 1201.8 949.5 : 126.1 252.3 378.4 504.6 630.7 756.8 1075.7 1201.8 1075.7: 126.1 252.3 378.4 504.6 630.7 949.5 1075.7 1201.8 1201.8
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 126.1400 .. 318.8400 cents 192.70000 cents 126.14000 cents 2: 252.2800 .. 444.9800 cents 192.70000 cents -66.56000 cents 3: 378.4200 .. 571.1200 cents 192.70000 cents -66.56000 cents 4: 504.5600 .. 697.2600 cents 192.70000 cents -66.56000 cents 5: 630.7000 .. 823.4000 cents 192.70000 cents -66.56000 cents 6: 756.8400 .. 949.5400 cents 192.70000 cents -66.56000 cents 7: 882.9800 .. 1075.6800 cents 192.70000 cents -66.56000 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 126.14000 cents, class 1 Average step (divided formal octave): 150.2275 cents Largest one step interval : 318.84000 cents Average / Smallest step : 1.190958 Largest / Average step : 2.122381 Largest / Smallest step : 2.527668 Median interval of one step : 126.14000 cents, amount: 7 Most common interval of one step : 126.14000 cents, amount: 7 Least squares average step : 150.69980 cents, oct.: 1205.59843 cents Scale is not proper Scale has Myhill's property chromas: 192.70000 cents and 66.56000 cents, ratio: 2.895132 generators: 1 of 126.14000 cents and 7 of 1075.68000 cents ET pair of linear temperament : 10&19 Scale is distributional even Scale is a mode of a 343-tone equal temperament with octave 1201.820 cents degrees: 36 72 108 144 235 271 307 343 generators: 36 and 307 Number of contiguous 1-step segments: 0 Step pattern alph. order: AAAABAAA Step pattern size order : SSSSLSSS Scale is a Constant Structure, by a margin of 59.58000 cents Scale diversity : 1.245164 Lumma stability : 0.209915 Lumma impropriety factor : 0.332296 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 : 59.58000 cents Most common intervals : 126.14000 cents & inv., amount: 7 Scale is a chain of 4 triads 0.0 378.420 1075.680 cents Number of recognisable fifths : 4, average 697.2600 cents Number of recognisable fourths : 4, average 504.5600 cents Formal octave complements present : 7 = 87.5000% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 1 Inversional symmetry on intervals : 0-1 4-5 -- Rational properties --
FIT/MODE
8: 1 1 0 1 2 1 1 1 N T3 SD: 50.0066 c. M: 77.9650 c. 9: 1 1 1 1 2 1 1 1 P M ME SD: 17.3441 c. M:-29.5822 c. 10: 1 1 1 1 3 1 1 1 N M DE SD: 13.9727 c. M: 23.8320 c. 19: 2 2 2 2 5 2 2 2 N M DE SD: 0.8616 c. M:-1.4695 c. 105: 11 11 11 11 28 11 11 11 N M DE SD: 0.5512 c. M: 0.9402 c. 124: 13 13 13 13 33 13 13 13 N M DE SD: 0.3348 c. M: 0.5710 c. 143: 15 15 15 15 38 15 15 15 N M DE SD: 0.1758 c. M: 0.2999 c. 162: 17 17 17 17 43 17 17 17 N M DE SD: 0.0541 c. M: 0.0923 c. 181: 19 19 19 19 48 19 19 19 N M DE SD: 0.0420 c. M:-0.0716 c. 343: 36 36 36 36 91 36 36 36 N M DE SD: 0.0034 c. M: 0.0058 c. 1210: 127 127 127 127 321 127 127 127 N M DE SD: 0.0034 c. M:-0.0058 c. 1553: 163 163 163 163 412 163 163 163 N M DE SD: 0.0019 c. M:-0.0032 c. 1896: 199 199 199 199 503 199 199 199 N M DE SD: 0.0009 c. M:-0.0016 c. 2239: 235 235 235 235 594 235 235 235 N M DE SD: 0.0003 c. M:-0.0004 c.
FIT/HARMONIC
1 x x x x x x x 2 S SD: 1.8200 cents 2 x x x x 3 x x 4 S SD: 60.7293 cents 3 x x x 4:5 x x 6 S SD: 20.4443 cents 4 x x 5 x 6:7 x 8 S SD: 30.8083 cents 5 x x 6:7:8 x 9:10 S SD: 23.2285 cents 6 x 7 x 8:10 x 11:12 S SD: 13.6634 cents 7 x 8:9 x 11:12:13:14 SD: 12.4924 cents 8 x 9:10:11:13:14:15:16 SD: 10.5127 cents 9:10 x 11:12:14:16:17:18 S SD: 14.5713 cents 10:11 x 12:13:16:17:19:20 SD: 14.4986 cents 11:12:13:14:15:18:19:20:22 S SD: 10.5051 cents 12:13:14:15:16:19:21:22:24 SD: 6.0146 cents 21:23:24:26:28:34:36:39:42 SD: 5.5209 cents 23:25:27:29:31:37:40:43:46 SD: 5.2704 cents 24:26:28:30:32:39:42:45:48 SD: 4.5057 cents 25:27:29:31:33:40:43:47:50 SD: 4.3068 cents 26:28:30:32:35:42:45:48:52 SD: 3.3975 cents 36:39:42:45:48:58:62:67:72 SD: 2.9357 cents 38:41:44:47:51:61:66:71:76 SD: 2.0319 cents 51:55:59:63:68:82:88:95:102 SD: 1.9953 cents 52:56:60:65:70:84:90:97:104 SD: 1.9863 cents 53:57:61:66:71:85:92:99:106 SD: 1.6894 cents 56:60:65:70:75:90:97:104:112 SD: 1.6152 cents 64:69:74:80:86:103:111:119:128 SD: 1.5285 cents 65:70:75:81:87:105:112:121:130 SD: 1.4748 cents 70:75:81:87:94:113:121:130:140 SD: 1.4704 cents 77:83:89:96:103:124:133:143:154 SD: 0.9796 cents 82:88:95:102:110:132:142:153:164 SD: 0.9669 cents 94:101:109:117:126:151:163:175:188 SD: 0.8836 cents 103:111:119:128:138:166:178:192:206 SD: 0.8713 cents 107:115:124:133:143:172:185:199:214 SD: 0.6975 cents 115:124:133:143:154:185:199:214:230 SD: 0.6236 cents 159:171:184:198:213:256:275:296:318 SD: 0.4063 cents 237:255:274:295:317:381:410:441:474 SD: 0.3846 cents 266:286:308:331:356:428:460:495:533 SD: 0.3229 cents 304:327:352:378:407:489:526:566:609 SD: 0.3009 cents 319:343:369:397:427:513:552:594:639 SD: 0.1993 cents 396:426:458:493:530:637:685:737:793 SD: 0.1836 cents 434:467:502:540:581:698:751:808:869 SD: 0.1573 cents 491:528:568:611:657:790:850:914:983 SD: 0.0961 cents