Scala analysis: xen18-erlich-orwell-09
4L 5s MOS for Orwell, L=157.92, s=113.57
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 113.570 cents 113.570000 2: 271.490 cents 271.490000 3: 385.060 cents 385.060000 4: 542.980 cents 542.980000 5: 656.550 cents 656.550000 6: 814.470 cents 814.470000 7: 928.040 cents 928.040000 8: 1085.960 cents 1085.960000 9: 1199.530 cents 1199.530000
SHOW/INTERVAL
0: 113.5700 cents 113.5700 1: 113.5700 cents 113.5700 2: 157.9200 cents 157.9200 3: 113.5700 cents 113.5700 4: 157.9200 cents 157.9200 5: 113.5700 cents 113.5700 6: 157.9200 cents 157.9200 7: 113.5700 cents 113.5700 8: 157.9200 cents 157.9200 9: 113.5700 cents 113.5700
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 5 113.57000 cents 1: 4 157.92000 cents 2: 1 227.14000 cents 2: 8 271.49000 cents 3: 6 385.06000 cents 3: 3 429.41000 cents 4: 2 498.63000 cents 4: 7 542.98000 cents 5: 7 656.55000 cents 5: 2 700.90000 cents 6: 3 770.12000 cents 6: 6 814.47000 cents 7: 8 928.04000 cents 7: 1 972.39000 cents 8: 4 1041.61000 cents 8: 5 1085.96000 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 0.0 : 113.6 271.5 385.1 543.0 656.5 814.5 928.0 1086.0 1199.5 113.6 : 157.9 271.5 429.4 543.0 700.9 814.5 972.4 1086.0 1199.5 271.5 : 113.6 271.5 385.1 543.0 656.5 814.5 928.0 1041.6 1199.5 385.1 : 157.9 271.5 429.4 543.0 700.9 814.5 928.0 1086.0 1199.5 543.0 : 113.6 271.5 385.1 543.0 656.5 770.1 928.0 1041.6 1199.5 656.5 : 157.9 271.5 429.4 543.0 656.5 814.5 928.0 1086.0 1199.5 814.5 : 113.6 271.5 385.1 498.6 656.6 770.1 928.0 1041.6 1199.5 928.0 : 157.9 271.5 385.1 543.0 656.6 814.5 928.0 1086.0 1199.5 1086.0: 113.6 227.1 385.1 498.6 656.5 770.1 928.0 1041.6 1199.5 1199.5
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 113.5700 .. 157.9200 cents 44.35000 cents 113.57000 cents 2: 227.1400 .. 271.4900 cents 44.35000 cents 69.22000 cents 3: 385.0600 .. 429.4100 cents 44.35000 cents 113.57000 cents 4: 498.6300 .. 542.9800 cents 44.35000 cents 69.22000 cents 5: 656.5500 .. 700.9000 cents 44.35000 cents 113.57000 cents 6: 770.1200 .. 814.4700 cents 44.35000 cents 69.22000 cents 7: 928.0400 .. 972.3900 cents 44.35000 cents 113.57000 cents 8: 1041.6100 .. 1085.9600 cents 44.35000 cents 69.22000 cents
SHOW DATA
Number of notes : 9 -- Interval properties -- Smallest interval : 113.57000 cents, class 1 Average step (divided formal octave): 133.2811 cents Largest one step interval : 157.92000 cents Average / Smallest step : 1.173559 Largest / Average step : 1.184864 Largest / Smallest step : 1.390508 Median interval of one step : 113.57000 cents, amount: 5 Most common interval of one step : 113.57000 cents, amount: 5 Least squares average step : 133.79982 cents, oct.: 1204.19842 cents Scale is strictly proper Scale has Myhill's property chromas: 44.35000 cents and 69.22000 cents, ratio: 1.560767 generators: 2 of 271.49000 cents and 7 of 928.04000 cents ET pair of linear temperament : 22&31 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 676-tone equal temperament with octave 1199.530 cents degrees: 64 153 217 306 370 459 523 612 676 generators: 153 and 523 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABABABABA Step pattern size order : SLSLSLSLS Scale is a Constant Structure, by a margin of 69.22000 cents Scale diversity : 1.216816 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.704217 Rothenberg efficiency : 0.740741 redundancy: 0.259259 Efficiency x scale size : 6.666667 Number of different interval sizes : 16 = 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 : 44.35000 cents Most common intervals : 271.49000 cents & inv., amount: 8 Scale is a chain of 4 triads 0.0 271.490 542.980 cents Most common triad is 0.0 271.490 928.040 cents, amount: 7 Number of recognisable fifths : 2, average 700.9000 cents Number of recognisable fourths : 2, average 498.6300 cents Scale contains two identical conjunct pentachords Best fifths form a closed circle Formal octave complements present : 9 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 4-5 -- Rational properties --
FIT/MODE
9: 1 1 1 1 1 1 1 1 1 SP B ME I SD: 12.7235 c. M:-19.7111 c. Pelog Nawanada: Sunda 22: 2 3 2 3 2 3 2 3 2 SP M ME I SD: 2.9188 c. M: 4.5218 c. Rezsutek's Percussion scale 31: 3 4 3 4 3 4 3 4 3 SP M ME I SD: 1.6225 c. M: 2.5135 c. 53: 5 7 5 7 5 7 5 7 5 SP M DE I SD: 0.2626 c. M:-0.4068 c. 137: 13 18 13 18 13 18 13 18 13 SP M DE I SD: 0.1640 c. M:-0.2540 c. 190: 18 25 18 25 18 25 18 25 18 SP M DE I SD: 0.0450 c. M:-0.0697 c. 243: 23 32 23 32 23 32 23 32 23 SP M DE I SD: 0.0221 c. M: 0.0342 c. 433: 41 57 41 57 41 57 41 57 41 SP M DE I SD: 0.0073 c. M: 0.0114 c. 676: 64 89 64 89 64 89 64 89 64 SP M DE I SD: 0.0032 c. M:-0.0050 c. 1109: 105 146 105 146 105 146 105 146 105 SP M DE I SD: 0.0009 c. M:-0.0014 c. 1785: 169 235 169 235 169 235 169 235 169 SP M DE I SD: 0.0007 c. M:-0.0011 c.
FIT/HARMONIC
1 x x x x x x x x 2 S SD: 0.4700 cents 2 x x x x 3 x x x 4 S SD: 22.7037 cents 3 x x x 4 x x 5 x 6 S SD: 20.8897 cents 4 x x 5 x 6 x 7 x 8 S SD: 15.2621 cents 5 x 6 x 7 x 8 x 9:10 S SD: 18.0959 cents 6 x 7 x 8:9 x 10:11:12 S SD: 14.2884 cents 7 x 8:9 x 10:11:12:13:14 S SD: 11.8715 cents 8 x 9:10:11:12:13:14:15:16 S SD: 11.8900 cents 9:10 x 11:12:13:14:15:17:18 SD: 14.3416 cents 10:11:12:13:14:15:16:17:19:20 SD: 13.0184 cents 11:12:13:14:15:16:18:19:21:22 SD: 8.4215 cents 13:14:15:16:18:19:21:22:24:26 SD: 6.0867 cents 16:17:19:20:22:23:26:27:30:32 SD: 5.8777 cents 17:18:20:21:23:25:27:29:32:34 SD: 4.2594 cents 24:26:28:30:33:35:38:41:45:48 SD: 3.6733 cents 28:30:33:35:38:41:45:48:52:56 SD: 2.9381 cents 30:32:35:37:41:44:48:51:56:60 SD: 2.8834 cents 35:37:41:44:48:51:56:60:66:70 SD: 2.8188 cents 40:43:47:50:55:58:64:68:75:80 SD: 2.5743 cents 41:44:48:51:56:60:66:70:77:82 SD: 1.8325 cents 48:51:56:60:66:70:77:82:90:96 SD: 1.5643 cents 60:64:70:75:82:88:96:103:112:120 SD: 1.4031 cents 65:69:76:81:89:95:104:111:122:130 SD: 1.3256 cents 71:76:83:89:97:104:114:121:133:142 SD: 1.3038 cents 72:77:84:90:99:105:115:123:135:144 SD: 1.2749 cents 76:81:89:95:104:111:122:130:142:152 SD: 0.8352 cents 100:107:117:125:137:146:160:171:187:200 SD: 0.5793 cents 117:125:137:146:160:171:187:200:219:234 SD: 0.4407 cents 165:176:193:206:226:241:264:282:309:330 SD: 0.3179 cents 236:252:276:295:323:345:378:403:442:472 SD: 0.2875 cents 265:283:310:331:363:387:424:453:496:530 SD: 0.2621 cents 282:301:330:352:386:412:451:482:528:564 SD: 0.2553 cents 293:313:343:366:401:428:469:501:549:586 SD: 0.2339 cents 353:377:413:441:483:516:565:603:661:706 SD: 0.1613 cents 518:553:606:647:709:757:829:885:970:1036 SD: 0.1300 cents