Scala analysis: xen14-mclaren-nonoctave-phi-9
Walter O'Connell's 9 parts of Golden Section
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 92.566 cents 92.565588 2: 185.131 cents 185.131177 3: 277.697 cents 277.696765 4: 370.262 cents 370.262354 5: 462.828 cents 462.827942 6: 555.394 cents 555.393531 7: 647.959 cents 647.959119 8: 740.525 cents 740.524708 9: 833.090 cents 833.090296
SHOW/INTERVAL
0: 92.5656 cents 92.5656 1: 92.5656 cents 92.5656 2: 92.5656 cents 92.5656 3: 92.5656 cents 92.5656 4: 92.5656 cents 92.5656 5: 92.5656 cents 92.5656 6: 92.5656 cents 92.5656 7: 92.5656 cents 92.5656 8: 92.5656 cents 92.5656 9: 92.5656 cents 92.5656
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 9 92.56559 cents 2: 9 185.13118 cents 3: 9 277.69676 cents 4: 9 370.26235 cents 5: 9 462.82794 cents 6: 9 555.39353 cents 7: 9 647.95912 cents 8: 9 740.52471 cents Only one interval per interval class, scale is equal tempered Average number of different intervals per interval class: 1.00000 = 1
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 0.0 : 92.6 185.1 277.7 370.3 462.8 555.4 648.0 740.5 833.1 92.6 : 92.6 185.1 277.7 370.3 462.8 555.4 648.0 740.5 833.1 185.1: 92.6 185.1 277.7 370.3 462.8 555.4 648.0 740.5 833.1 277.7: 92.6 185.1 277.7 370.3 462.8 555.4 648.0 740.5 833.1 370.3: 92.6 185.1 277.7 370.3 462.8 555.4 648.0 740.5 833.1 462.8: 92.6 185.1 277.7 370.3 462.8 555.4 648.0 740.5 833.1 555.4: 92.6 185.1 277.7 370.3 462.8 555.4 648.0 740.5 833.1 648.0: 92.6 185.1 277.7 370.3 462.8 555.4 648.0 740.5 833.1 740.5: 92.6 185.1 277.7 370.3 462.8 555.4 648.0 740.5 833.1 833.1
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 92.5656 .. 92.5656 cents 1/1, 0.0000 cents 92.56559 cents 2: 185.1312 .. 185.1312 cents 1/1, 0.0000 cents 92.56559 cents 3: 277.6968 .. 277.6968 cents 1/1, 0.0000 cents 92.56559 cents 4: 370.2624 .. 370.2624 cents 1/1, 0.0000 cents 92.56559 cents 5: 462.8279 .. 462.8279 cents 1/1, 0.0000 cents 92.56559 cents 6: 555.3935 .. 555.3935 cents 1/1, 0.0000 cents 92.56559 cents 7: 647.9591 .. 647.9591 cents 1/1, 0.0000 cents 92.56559 cents 8: 740.5247 .. 740.5247 cents 1/1, 0.0000 cents 92.56559 cents
SHOW DATA
Number of notes : 9 -- Interval properties -- Smallest interval : 92.56559 cents, class 1 Average step (divided formal octave): 92.5656 cents Largest one step interval : 92.56559 cents Average / Smallest step : 1.000000 Largest / Average step : 1.000000 Largest / Smallest step : 1.000000 Median interval of one step : 92.56559 cents, amount: 9 Most common interval of one step : 92.56559 cents, amount: 9 Least squares average step : 92.56559 cents, oct.: 833.09030 cents Scale is strictly proper Scale is equal tempered Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a Constant Structure, by a margin of 92.56559 cents Scale diversity : 1.000000 Rothenberg stability : 1.000000 = 1 Lumma stability : 1.000000 Rothenberg efficiency : 0.111111 redundancy: 0.888889 Efficiency x scale size : 1.000000 Number of different interval sizes : 8 = 1.00000 / class Number of one step interval sizes : 1 Mean interval variety : 1.00000 = 1 Lowest interval variety : 1 Number of recognisable fifths : 0 Number of recognisable fourths : 0 Best fifths form a closed circle Best major thirds form a closed circle Limited transpositions : all Inversional symmetry on degrees : all Inversional symmetry on intervals : all -- Rational properties --
FIT/MODE
9: 1 1 1 1 1 1 1 1 1 SP B ME I SD: 0.0000 c. M: 0.0000 c. Pelog Nawanada: Sunda
FIT/HARMONIC
1 x x x x x x x x 2 S SD: 366.9097 cents 2 x x x x x x x 3 x S SD: 38.5697 cents 3 x x x x 4 x x x 5 S SD: 31.0994 cents 4 x x x 5 x x x 6 x S SD: 20.8882 cents 5 x x 6 x x 7 x x 8 S SD: 16.8382 cents 6 x x 7 x 8 x x 9:10 S SD: 18.4958 cents 7 x 8 x x 9 x 10:11 x S SD: 18.6739 cents 8 x 9 x 10 x 11 x 12:13 S SD: 9.3163 cents 9 x 10 x 11:12 x 13:14:15 S SD: 11.9280 cents 10 x 11:12 x 13:14 x 15:16 S SD: 11.2035 cents 11 x 12:13 x 14:15:16:17:18 S SD: 9.3342 cents 12:13 x 14:15:16 x 17:18:19 S SD: 13.2860 cents 13:14 x 15:16:17:18:19:20:21 S SD: 6.2176 cents 14:15:16 x 17:18:19:20:21:23 SD: 11.5928 cents 15:16:17:18:19:20:21:22:23:24 H SD: 9.2313 cents 16:17:18:19:20:21:22:23:25:26 SD: 5.7839 cents 24:25:27:28:30:31:33:35:37:39 SD: 4.6806 cents 29:31:32:34:36:38:40:42:44:47 SD: 3.8438 cents 33:35:37:39:41:43:45:48:51:53 SD: 3.7118 cents 34:36:38:40:42:44:47:49:52:55 SD: 2.9068 cents 35:37:39:41:43:46:48:51:54:57 SD: 2.8324 cents 42:44:47:49:52:55:58:61:64:68 SD: 2.5200 cents 50:53:56:59:62:65:69:73:77:81 SD: 2.3797 cents 51:54:57:60:63:67:70:74:78:83 SD: 2.2494 cents 52:55:58:61:64:68:72:76:80:84 SD: 2.0420 cents 53:56:59:62:66:69:73:77:81:86 SD: 1.7187 cents 68:72:76:80:84:89:94:99:104:110 SD: 1.5528 cents 71:75:79:83:88:93:98:103:109:115 SD: 1.1571 cents 88:93:98:103:109:115:121:128:135:142 SD: 0.9812 cents 92:97:102:108:114:120:127:134:141:149 SD: 0.9525 cents 105:111:117:123:130:137:145:153:161:170 SD: 0.8986 cents 108:114:120:127:134:141:149:157:166:175 SD: 0.7939 cents 126:133:140:148:156:165:174:183:193:204 SD: 0.7645 cents 143:151:159:168:177:187:197:208:219:231 SD: 0.5691 cents 150:158:167:176:186:196:207:218:230:243 SD: 0.5332 cents 167:176:186:196:207:218:230:243:256:270 SD: 0.4391 cents 196:207:218:230:243:256:270:285:301:317 SD: 0.4315 cents 236:249:263:277:292:308:325:343:362:382 SD: 0.4300 cents 238:251:265:279:295:311:328:346:365:385 SD: 0.3499 cents 275:290:306:323:341:359:379:400:422:445 SD: 0.3306 cents 277:292:308:325:343:362:382:403:425:448 SD: 0.3215 cents 293:309:326:344:363:383:404:426:449:474 SD: 0.2401 cents 362:382:403:425:448:473:499:526:555:586 SD: 0.2400 cents 418:441:465:491:518:546:576:608:641:676 SD: 0.2267 cents 436:460:485:512:540:570:601:634:669:705 SD: 0.2221 cents 453:478:504:532:561:592:624:659:695:733 SD: 0.1936 cents 487:514:542:572:603:636:671:708:747:788 SD: 0.1704 cents 489:516:544:574:606:639:674:711:750:791 SD: 0.1673 cents 529:558:589:621:655:691:729:769:811:856 SD: 0.1511 cents 558:589:621:655:691:729:769:811:856:903 SD: 0.1461 cents