Scala analysis: xen18-erlich-flattone-12
7L 5s MOS for Flattone, L=130.62, s=57.64
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 130.620 cents 130.620000 2: 188.260 cents 188.260000 3: 318.880 cents 318.880000 4: 376.520 cents 376.520000 5: 507.140 cents 507.140000 6: 564.780 cents 564.780000 7: 695.400 cents 695.400000 8: 826.020 cents 826.020000 9: 883.660 cents 883.660000 10: 1014.280 cents 1014.280000 11: 1071.920 cents 1071.920000 12: 1202.540 cents 1202.540000
SHOW/INTERVAL
0: 130.6200 cents 130.6200 1: 130.6200 cents 130.6200 2: 57.6400 cents 57.6400 3: 130.6200 cents 130.6200 4: 57.6400 cents 57.6400 5: 130.6200 cents 130.6200 6: 57.6400 cents 57.6400 7: 130.6200 cents 130.6200 8: 130.6200 cents 130.6200 9: 57.6400 cents 57.6400 10: 130.6200 cents 130.6200 11: 57.6400 cents 57.6400 12: 130.6200 cents 130.6200
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 5 57.64000 cents 1: 7 130.62000 cents 2: 10 188.26000 cents 2: 2 261.24000 cents 3: 3 245.90000 cents 3: 9 318.88000 cents 4: 8 376.52000 cents 4: 4 449.50000 cents 5: 1 434.16000 cents 5: 11 507.14000 cents 6: 6 564.78000 cents 6: 6 637.76000 cents 7: 11 695.40000 cents 7: 1 768.38000 cents 8: 4 753.04000 cents 8: 8 826.02000 cents 9: 9 883.66000 cents 9: 3 956.64000 cents 10: 2 941.30000 cents 10: 10 1014.28000 cents 11: 7 1071.92000 cents 11: 5 1144.90000 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 12 0.0 : 130.6 188.3 318.9 376.5 507.1 564.8 695.4 826.0 883.7 1014.3 1071.9 1202.5 130.6 : 57.6 188.3 245.9 376.5 434.2 564.8 695.4 753.0 883.7 941.3 1071.9 1202.5 188.3 : 130.6 188.3 318.9 376.5 507.1 637.8 695.4 826.0 883.7 1014.3 1144.9 1202.5 318.9 : 57.6 188.3 245.9 376.5 507.1 564.8 695.4 753.0 883.7 1014.3 1071.9 1202.5 376.5 : 130.6 188.3 318.9 449.5 507.1 637.8 695.4 826.0 956.6 1014.3 1144.9 1202.5 507.1 : 57.6 188.3 318.9 376.5 507.1 564.8 695.4 826.0 883.7 1014.3 1071.9 1202.5 564.8 : 130.6 261.2 318.9 449.5 507.1 637.8 768.4 826.0 956.6 1014.3 1144.9 1202.5 695.4 : 130.6 188.3 318.9 376.5 507.1 637.8 695.4 826.0 883.7 1014.3 1071.9 1202.5 826.0 : 57.6 188.3 245.9 376.5 507.1 564.8 695.4 753.0 883.7 941.3 1071.9 1202.5 883.7 : 130.6 188.3 318.9 449.5 507.1 637.8 695.4 826.0 883.7 1014.3 1144.9 1202.5 1014.3: 57.6 188.3 318.9 376.5 507.1 564.8 695.4 753.0 883.7 1014.3 1071.9 1202.5 1071.9: 130.6 261.2 318.9 449.5 507.1 637.8 695.4 826.0 956.6 1014.3 1144.9 1202.5 1202.5
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 57.6400 .. 130.6200 cents 72.98000 cents 57.64000 cents 2: 188.2600 .. 261.2400 cents 72.98000 cents 57.64000 cents 3: 245.9000 .. 318.8800 cents 72.98000 cents -15.34000 cents 4: 376.5200 .. 449.5000 cents 72.98000 cents 57.64000 cents 5: 434.1600 .. 507.1400 cents 72.98000 cents -15.34000 cents 6: 564.7800 .. 637.7600 cents 72.98000 cents 57.64000 cents 7: 695.4000 .. 768.3800 cents 72.98000 cents 57.64000 cents 8: 753.0400 .. 826.0200 cents 72.98000 cents -15.34000 cents 9: 883.6600 .. 956.6400 cents 72.98000 cents 57.64000 cents 10: 941.3000 .. 1014.2800 cents 72.98000 cents -15.34000 cents 11: 1071.9200 .. 1144.9000 cents 72.98000 cents 57.64000 cents
SHOW DATA
Number of notes : 12 -- Interval properties -- Smallest interval : 57.64000 cents, class 1 Average step (divided formal octave): 100.2117 cents Largest one step interval : 130.62000 cents Average / Smallest step : 1.738579 Largest / Average step : 1.303441 Largest / Smallest step : 2.266135 Median interval of one step : 130.62000 cents, amount: 7 Most common interval of one step : 130.62000 cents, amount: 7 Least squares average step : 99.51929 cents, oct.: 1194.23151 cents Scale is not proper Scale has Myhill's property chromas: 72.98000 cents and 15.34000 cents, ratio: 4.757497 generators: 5 of 507.14000 cents and 7 of 695.40000 cents ET pair of linear temperament : 19&64 Scale is distributional even Scale is a mode of a 1648-tone equal temperament with octave 1202.540 cents degrees: 179 258 437 516 695 774 953 1132 1211 1390 1469 1648 generators: 695 and 953 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABABABAABABA Step pattern size order : LSLSLSLLSLSL Scale is a Constant Structure, by a margin of 15.34000 cents Scale diversity : 1.216447 Lumma stability : 0.383455 Lumma impropriety factor : 0.051025 Rothenberg efficiency : 0.722222 redundancy: 0.277778 Efficiency x scale size : 8.666667 Number of different interval sizes : 22 = 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 : 15.34000 cents Most common intervals : 507.14000 cents & inv., amount: 11 Scale is a chain of 6 triads 0.0 130.620 695.400 cents Most common triad is 0.0 507.140 695.400 cents, amount: 10 Number of recognisable fifths : 11, average 695.4000 cents Number of recognisable fourths : 11, average 507.1400 cents Scale contains two identical disjunct hexachords Formal octave complements present : 11 = 91.6667% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions : 7 Inversional symmetry on intervals : 3-4 9-10 -- Rational properties --
FIT/MODE
12: 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 21.2133 c. M:-36.4900 c. Twelve-tone Chromatic (1/11-comma) 15: 2 0 2 1 1 1 2 1 1 2 0 2 N D3 SD: 22.1613 c. M: 29.7187 c. 18: 2 1 2 0 2 1 2 2 1 2 1 2 N T3 SD: 23.0843 c. M: 42.4811 c. 19: 2 1 2 1 2 1 2 2 1 2 1 2 P M ME SD: 2.8162 c. M:-4.8442 c. Genus diatonico-chromaticum, Yasser's Supradiatonic inverse 45: 5 2 5 2 5 2 5 5 2 5 2 5 N M DE SD: 2.0897 c. M: 3.5947 c. 64: 7 3 7 3 7 3 7 7 3 7 3 7 N M DE SD: 0.6333 c. M: 1.0894 c. 83: 9 4 9 4 9 4 9 9 4 9 4 9 N M DE SD: 0.1563 c. M:-0.2689 c. 230: 25 11 25 11 25 11 25 25 11 25 11 25 N M DE SD: 0.0634 c. M: 0.1090 c. 313: 34 15 34 15 34 15 34 34 15 34 15 34 N M DE SD: 0.0051 c. M: 0.0088 c. 1335: 145 64 145 64 145 64 145 145 64 145 64 145 N M DE SD: 0.0049 c. M:-0.0084 c. 1648: 179 79 179 79 179 79 179 179 79 179 79 179 N M DE SD: 0.0030 c. M:-0.0052 c. 1961: 213 94 213 94 213 94 213 213 94 213 94 213 N M DE SD: 0.0017 c. M:-0.0029 c. 2274: 247 109 247 109 247 109 247 247 109 247 109 247 N M DE SD: 0.0008 c. M:-0.0013 c.
FIT/HARMONIC
1 x x x x x x x x x x x 2 S SD: 2.5400 cents 2 x x x x x x 3 x x x x 4 S SD: 3.5150 cents 3 x x x x 4 x x x 5 x x 6 S SD: 3.1563 cents 4 x x x 5 x x 6 x x 7 x 8 S SD: 11.7564 cents 5 x x 6 x x 7 x 8 x 9 x 10 S SD: 4.4474 cents 6 x x 7 x 8 x 9 x 10 x 11:12 S SD: 9.6413 cents 7 x 8 x 9 x 10 x 11:12 x 13:14 S SD: 15.9065 cents 8 x 9 x 10 x 11:12:13 x 14:15:16 S SD: 6.9769 cents 9 x 10:11 x 12 x 13 x 15:16:17:18 SD: 9.3310 cents 10 x 11:12 x 13:14:15:16:17:18:19:20 S SD: 8.1523 cents 11:12 x 13:14 x 15:16:18 x 20 x 22 S SD: 10.5028 cents 12:13 x 14:15:16:17:18:19:20 x 22:24 S SD: 7.6774 cents 13:14:15 x 16:17:18:19:21:22:23:24:26 SD: 8.4846 cents 14:15:16:17 x 19 x 21 x 23:25:26:28 SD: 6.5488 cents 15:16:17:18:19:20:21:22:24:25:27:28:30 SD: 5.2272 cents 18:19:20:22 x 24:25:27:29:30:32:33:36 SD: 5.1477 cents 20 x 22:24:25:27:28:30:32:33:36:37:40 SD: 3.6979 cents 21:23 x 25:26:28:29:31:34:35:38:39:42 SD: 3.9127 cents 24:26:27:29:30:32:33:36:39:40:43:45:48 SD: 2.9981 cents 26:28:29:31:32:35:36:39:42:43:47:48:52 SD: 2.6528 cents 34:37:38:41:42:46:47:51:55:57:61:63:68 SD: 2.5312 cents 36:39:40:43:45:48:50:54:58:60:65:67:72 SD: 1.9645 cents 41:44:46:49:51:55:57:61:66:68:74:76:82 SD: 1.9271 cents 44:47:49:53:55:59:61:66:71:73:79:82:88 SD: 1.9065 cents 49:53:55:59:61:66:68:73:79:82:88:91:98 SD: 1.5651 cents 50:54:56:60:62:67:69:75:81:83:90:93:100 SD: 1.5331 cents 54:58:60:65:67:72:75:81:87:90:97:100:108 SD: 1.3713 cents 62:67:69:75:77:83:86:93:100:103:111:115:124 SD: 1.3530 cents 65:70:72:78:81:87:90:97:105:108:117:121:130 SD: 1.3079 cents 75:81:84:90:93:101:104:112:121:125:135:139:150 SD: 1.1855 cents 77:83:86:93:96:103:107:115:124:128:138:143:154 SD: 1.1116 cents 78:84:87:94:97:105:108:117:126:130:140:145:156 SD: 1.0356 cents 79:85:88:95:98:106:109:118:127:132:142:147:158 SD: 1.0179 cents 89:96:99:107:111:119:123:133:143:148:160:165:178 SD: 0.9990 cents 93:100:104:112:116:125:129:139:150:155:167:173:186 SD: 0.9911 cents 98:106:109:118:122:131:136:146:158:163:176:182:196 SD: 0.9506 cents 99:107:110:119:123:133:137:148:160:165:178:184:198 SD: 0.8656 cents 103:111:115:124:128:138:143:154:166:172:185:191:206 SD: 0.6256 cents 129:139:144:155:160:173:179:193:208:215:232:240:258 SD: 0.5972 cents 153:165:171:184:190:205:212:229:247:255:275:284:306 SD: 0.5776 cents 156:168:174:188:194:209:216:233:251:260:280:290:312 SD: 0.5659 cents 164:177:183:197:204:220:227:245:264:273:295:305:328 SD: 0.4986 cents 168:181:187:202:209:225:233:251:271:280:302:312:336 SD: 0.4403 cents 182:196:203:219:226:244:252:272:293:303:327:338:365 SD: 0.3941 cents 217:234:242:261:270:291:301:324:350:362:390:403:435 SD: 0.3731 cents 218:235:243:262:271:292:302:326:351:363:392:405:437 SD: 0.2836 cents 267:288:298:321:332:358:370:399:430:445:480:496:535 SD: 0.2376 cents 296:319:330:356:368:397:410:442:477:493:532:550:593 SD: 0.2120 cents 332:358:370:399:413:445:460:496:535:553:596:617:665 SD: 0.2033 cents 358:386:399:430:445:480:496:535:577:596:643:665:717 SD: 0.1919 cents 399:430:445:480:496:535:553:596:643:665:717:741:799 SD: 0.1799 cents 420:453:468:505:522:563:582:628:677:700:755:780:841 SD: 0.1707 cents 435:469:485:523:541:583:603:650:701:725:782:808:871 SD: 0.1573 cents 461:497:514:554:573:618:639:689:743:768:828:856:923 SD: 0.1215 cents 584:630:651:702:726:783:809:873:941:973:1049:1085:1170 SD: 0.1212 cents