Scala analysis: xen18-erlich-orson-09
4L 5s MOS for Orson, L=158.01, s=113.64
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 113.640 cents 113.640000 2: 271.650 cents 271.650000 3: 385.290 cents 385.290000 4: 543.300 cents 543.300000 5: 656.940 cents 656.940000 6: 814.950 cents 814.950000 7: 928.590 cents 928.590000 8: 1086.600 cents 1086.600000 9: 1200.240 cents 1200.240000
SHOW/INTERVAL
0: 113.6400 cents 113.6400 1: 113.6400 cents 113.6400 2: 158.0100 cents 158.0100 3: 113.6400 cents 113.6400 4: 158.0100 cents 158.0100 5: 113.6400 cents 113.6400 6: 158.0100 cents 158.0100 7: 113.6400 cents 113.6400 8: 158.0100 cents 158.0100 9: 113.6400 cents 113.6400
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 5 113.64000 cents 1: 4 158.01000 cents 2: 1 227.28000 cents 2: 8 271.65000 cents 3: 6 385.29000 cents 3: 3 429.66000 cents 4: 2 498.93000 cents 4: 7 543.30000 cents 5: 7 656.94000 cents 5: 2 701.31000 cents 6: 3 770.58000 cents 6: 6 814.95000 cents 7: 8 928.59000 cents 7: 1 972.96000 cents 8: 4 1042.23000 cents 8: 5 1086.60000 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 : 113.6 271.6 385.3 543.3 656.9 814.9 928.6 1086.6 1200.2 113.6 : 158.0 271.6 429.7 543.3 701.3 814.9 973.0 1086.6 1200.2 271.6 : 113.6 271.6 385.3 543.3 656.9 814.9 928.6 1042.2 1200.2 385.3 : 158.0 271.7 429.7 543.3 701.3 815.0 928.6 1086.6 1200.2 543.3 : 113.6 271.7 385.3 543.3 656.9 770.6 928.6 1042.2 1200.2 656.9 : 158.0 271.6 429.7 543.3 656.9 814.9 928.6 1086.6 1200.2 814.9 : 113.6 271.6 385.3 498.9 656.9 770.6 928.6 1042.2 1200.2 928.6 : 158.0 271.6 385.3 543.3 656.9 814.9 928.6 1086.6 1200.2 1086.6: 113.6 227.3 385.3 498.9 656.9 770.6 928.6 1042.2 1200.2 1200.2
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 113.6400 .. 158.0100 cents 44.37000 cents 113.64000 cents 2: 227.2800 .. 271.6500 cents 44.37000 cents 69.27000 cents 3: 385.2900 .. 429.6600 cents 44.37000 cents 113.64000 cents 4: 498.9300 .. 543.3000 cents 44.37000 cents 69.27000 cents 5: 656.9400 .. 701.3100 cents 44.37000 cents 113.64000 cents 6: 770.5800 .. 814.9500 cents 44.37000 cents 69.27000 cents 7: 928.5900 .. 972.9600 cents 44.37000 cents 113.64000 cents 8: 1042.2300 .. 1086.6000 cents 44.37000 cents 69.27000 cents
SHOW DATA
Number of notes : 9 -- Interval properties -- Smallest interval : 113.64000 cents, class 1 Average step (divided formal octave): 133.3600 cents Largest one step interval : 158.01000 cents Average / Smallest step : 1.173530 Largest / Average step : 1.184838 Largest / Smallest step : 1.390444 Median interval of one step : 113.64000 cents, amount: 5 Most common interval of one step : 113.64000 cents, amount: 5 Least squares average step : 133.87895 cents, oct.: 1204.91053 cents Scale is strictly proper Scale has Myhill's property chromas: 44.37000 cents and 69.27000 cents, ratio: 1.561190 generators: 2 of 271.65000 cents and 7 of 928.59000 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 1109-tone equal temperament with octave 1200.240 cents degrees: 105 251 356 502 607 753 858 1004 1109 generators: 251 and 858 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 69.27000 cents Scale diversity : 1.216061 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.704259 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 : 44.37000 cents Most common intervals : 271.65000 cents & inv., amount: 8 Scale is a chain of 4 triads 0.0 271.650 543.300 cents Most common triad is 0.0 271.650 928.590 cents, amount: 7 Number of recognisable fifths : 2, average 701.3100 cents Number of recognisable fourths : 2, average 498.9300 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: 12.7292 c. M:-19.7200 c. Pelog Nawanada: Sunda 22: 2 3 2 3 2 3 2 3 2 SP M ME I SD: 2.9223 c. M:-4.5273 c. Rezsutek's Percussion scale 31: 3 4 3 4 3 4 3 4 3 SP M ME I SD: 1.6217 c. M:-2.5123 c. 53: 5 7 5 7 5 7 5 7 5 SP M DE I SD: 0.2645 c. M:-0.4098 c. 137: 13 18 13 18 13 18 13 18 13 SP M DE I SD: 0.1623 c. M:-0.2514 c. 190: 18 25 18 25 18 25 18 25 18 SP M DE I SD: 0.0432 c. M:-0.0669 c. 243: 23 32 23 32 23 32 23 32 23 SP M DE I SD: 0.0239 c. M:-0.0370 c. 433: 41 57 41 57 41 57 41 57 41 SP M DE I SD: 0.0055 c. M:-0.0086 c. 676: 64 89 64 89 64 89 64 89 64 SP M DE I SD: 0.0050 c. M:-0.0078 c. 1109: 105 146 105 146 105 146 105 146 105 SP M DE I SD: 0.0009 c. M:-0.0014 c. 1542: 146 203 146 203 146 203 146 203 146 SP M DE I SD: 0.0009 c. M:-0.0014 c.
FIT/HARMONIC
1 x x x x x x x x 2 S SD: 0.2400 cents 2 x x x x 3 x x x 4 S SD: 22.5078 cents 3 x x x 4 x x 5 x 6 S SD: 21.0937 cents 4 x x 5 x 6 x 7 x 8 S SD: 15.0963 cents 5 x 6 x 7 x 8 x 9:10 S SD: 18.1505 cents 6 x 7 x 8:9 x 10:11:12 S SD: 14.3762 cents 7 x 8:9 x 10:11:12:13:14 S SD: 11.9270 cents 8 x 9:10:11:12:13:14:15:16 S SD: 11.8298 cents 9:10 x 11:12:13:14:15:17:18 SD: 14.4119 cents 10:11:12:13:14:15:16:17:19:20 SD: 12.9547 cents 11:12:13:14:15:16:18:19:21:22 SD: 8.3374 cents 13:14:15:16:18:19:21:22:24:26 SD: 6.1273 cents 16:17:19:20:22:23:26:27:30:32 SD: 5.8845 cents 17:18:20:21:23:25:27:29:32:34 SD: 4.2853 cents 24:26:28:30:33:35:38:41:45:48 SD: 3.6935 cents 28:30:33:35:38:41:45:48:52:56 SD: 2.9546 cents 30:32:35:37:41:44:48:51:56:60 SD: 2.9412 cents 35:37:41:44:48:51:56:60:66:70 SD: 2.7713 cents 40:43:47:50:55:58:64:68:75:80 SD: 2.5973 cents 41:44:48:51:56:60:66:70:77:82 SD: 1.7951 cents 48:51:56:60:66:70:77:82:90:96 SD: 1.5445 cents 60:64:70:75:82:88:96:103:112:120 SD: 1.3944 cents 65:69:76:81:89:95:104:111:122:130 SD: 1.3299 cents 71:76:83:89:97:104:114:121:133:142 SD: 1.2855 cents 72:77:84:90:99:105:115:123:135:144 SD: 1.2780 cents 73:78:85:91:100:107:117:125:137:146 SD: 1.2643 cents 76:81:89:95:104:111:122:130:142:152 SD: 0.8328 cents 100:107:117:125:137:146:160:171:187:200 SD: 0.6064 cents 117:125:137:146:160:171:187:200:219:234 SD: 0.5034 cents 160:171:187:200:219:234:256:274:300:320 SD: 0.4894 cents 165:176:193:206:226:241:264:282:309:330 SD: 0.3535 cents 176:188:206:220:241:257:282:301:330:352 SD: 0.3424 cents 206:220:241:257:282:301:330:352:386:412 SD: 0.3145 cents 236:252:276:295:323:345:378:404:442:472 SD: 0.2818 cents 293:313:343:366:401:428:469:501:549:586 SD: 0.1958 cents 353:377:413:441:483:516:565:604:661:706 SD: 0.1879 cents 401:428:469:501:549:586:642:686:751:802 SD: 0.1705 cents 442:472:517:552:605:646:708:756:828:884 SD: 0.1293 cents 559:597:654:698:765:817:895:956:1047:1118 SD: 0.1139 cents 589:629:689:736:806:861:943:1007:1103:1178 SD: 0.0977 cents