Scala analysis: xen14-mclaren-nonoctave-phi-7
John McBryde's 7th root of phi
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 119.013 cents 119.012899 2: 238.026 cents 238.025799 3: 357.039 cents 357.038698 4: 476.052 cents 476.051598 5: 595.064 cents 595.064497 6: 714.077 cents 714.077397 7: 833.090 cents 833.090296
SHOW/INTERVAL
0: 119.0129 cents 119.0129 1: 119.0129 cents 119.0129 2: 119.0129 cents 119.0129 3: 119.0129 cents 119.0129 4: 119.0129 cents 119.0129 5: 119.0129 cents 119.0129 6: 119.0129 cents 119.0129 7: 119.0129 cents 119.0129
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 7 119.01290 cents 2: 7 238.02580 cents 3: 7 357.03870 cents 4: 7 476.05160 cents 5: 7 595.06450 cents 6: 7 714.07740 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 0.0 : 119.0 238.0 357.0 476.1 595.1 714.1 833.1 119.0: 119.0 238.0 357.0 476.1 595.1 714.1 833.1 238.0: 119.0 238.0 357.0 476.1 595.1 714.1 833.1 357.0: 119.0 238.0 357.0 476.1 595.1 714.1 833.1 476.1: 119.0 238.0 357.0 476.1 595.1 714.1 833.1 595.1: 119.0 238.0 357.0 476.1 595.1 714.1 833.1 714.1: 119.0 238.0 357.0 476.1 595.1 714.1 833.1 833.1
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 119.0129 .. 119.0129 cents 1/1, 0.0000 cents 119.01290 cents 2: 238.0258 .. 238.0258 cents 1/1, 0.0000 cents 119.01290 cents 3: 357.0387 .. 357.0387 cents 1/1, 0.0000 cents 119.01290 cents 4: 476.0516 .. 476.0516 cents 1/1, 0.0000 cents 119.01290 cents 5: 595.0645 .. 595.0645 cents 1/1, 0.0000 cents 119.01290 cents 6: 714.0774 .. 714.0774 cents 1/1, 0.0000 cents 119.01290 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 119.01290 cents, class 1 Average step (divided formal octave): 119.0129 cents Largest one step interval : 119.01290 cents Average / Smallest step : 1.000000 Largest / Average step : 1.000000 Largest / Smallest step : 1.000000 Median interval of one step : 119.01290 cents, amount: 7 Most common interval of one step : 119.01290 cents, amount: 7 Least squares average step : 119.01290 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 119.01290 cents Scale diversity : 1.000000 Rothenberg stability : 1.000000 = 1 Lumma stability : 1.000000 Rothenberg efficiency : 0.142857 redundancy: 0.857143 Efficiency x scale size : 1.000000 Number of different interval sizes : 6 = 1.00000 / class Number of one step interval sizes : 1 Mean interval variety : 1.00000 = 1 Lowest interval variety : 1 Number of recognisable fifths : 7, average 714.0774 cents Number of recognisable fourths : 0 Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Limited transpositions : all Inversional symmetry on degrees : all Inversional symmetry on intervals : all -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 0.0000 c. M: 0.0000 c. Lebeng
FIT/HARMONIC
1 x x x x x x 2 S SD: 366.9097 cents 2 x x x x x 3 x S SD: 12.1224 cents 3 x x x 4 x x 5 S SD: 27.8934 cents 4 x x 5 x x 6 x S SD: 15.8428 cents 5 x x 6 x 7 x 8 S SD: 15.8037 cents 6 x 7 x 8 x 9:10 S SD: 15.9905 cents 7 x 8 x 9:10 x 11 S SD: 17.2993 cents 8 x 9:10 x 11:12:13 S SD: 12.8638 cents 9 x 10:11:12:13:14:15 S SD: 17.1674 cents 10:11 x 12:13:14:15:16 S SD: 11.7696 cents 11:12:13 x 14:16:17:18 S SD: 18.1563 cents 12:13:14:15:16:17:18:19 H SD: 9.2295 cents 13:14:15:16:17:18:20:21 S SD: 6.9089 cents 22:24:25:27:29:31:33:36 SD: 6.0940 cents 25:27:29:31:33:35:38:40 SD: 5.4748 cents 26:28:30:32:34:37:39:42 SD: 3.8459 cents 29:31:33:36:38:41:44:47 SD: 3.6957 cents 39:42:45:48:51:55:59:63 SD: 2.6206 cents 41:44:47:50:54:58:62:66 SD: 2.5042 cents 47:50:54:58:62:66:71:76 SD: 2.3161 cents 53:57:61:65:70:75:80:86 SD: 1.9371 cents 61:65:70:75:80:86:92:99 SD: 1.8147 cents 66:71:76:81:87:93:100:107 SD: 1.7251 cents 69:74:79:85:91:97:104:112 SD: 1.5481 cents 70:75:80:86:92:99:106:113 SD: 1.5374 cents 73:78:84:90:96:103:110:118 SD: 1.4123 cents 82:88:94:101:108:116:124:133 SD: 1.2656 cents 88:94:101:108:116:124:133:142 SD: 1.1021 cents 100:107:115:123:132:141:151:162 SD: 0.9773 cents 110:118:126:135:145:155:166:178 SD: 0.7903 cents 141:151:162:173:186:199:213:228 SD: 0.7770 cents 149:160:171:183:196:210:225:241 SD: 0.6951 cents 157:168:180:193:207:221:237:254 SD: 0.6836 cents 170:182:195:209:224:240:257:275 SD: 0.4411 cents 183:196:210:225:241:258:276:296 SD: 0.4193 cents 196:210:225:241:258:276:296:317 SD: 0.4154 cents 253:271:290:311:333:357:382:409 SD: 0.3863 cents 266:285:305:327:350:375:402:430 SD: 0.3530 cents 278:298:319:342:366:392:420:450 SD: 0.3184 cents 319:342:366:392:420:450:482:516 SD: 0.2573 cents 353:378:405:434:465:498:533:571 SD: 0.2469 cents 366:392:420:450:482:516:553:592 SD: 0.1800 cents 380:407:436:467:500:536:574:615 SD: 0.1612 cents 537:575:616:660:707:757:811:869 SD: 0.1533 cents 563:603:646:692:741:794:850:911 SD: 0.1471 cents 576:617:661:708:758:812:870:932 SD: 0.1384 cents