Scala analysis: xen11-wolf-pelog
Pelog based on stacking 7/6
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 134.500 cents 134.500000 2: 266.900 cents 266.900000 3: 533.800 cents 533.800000 4: 666.000 cents 666.000000 5: 800.700 cents 800.700000 6: 932.900 cents 932.900000 7: 1202.100 cents 1202.100000
SHOW/INTERVAL
0: 269.2000 cents 269.2000 1: 134.5000 cents 134.5000 2: 132.4000 cents 132.4000 3: 266.9000 cents 266.9000 4: 132.2000 cents 132.2000 5: 134.7000 cents 134.7000 6: 132.2000 cents 132.2000 7: 269.2000 cents 269.2000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 132.20000 cents 1: 1 132.40000 cents 1: 1 134.50000 cents 1: 1 134.70000 cents 1: 1 266.90000 cents 1: 1 269.20000 cents 2: 3 266.90000 cents 2: 1 399.10000 cents 2: 1 399.30000 cents 2: 1 401.40000 cents 2: 1 403.70000 cents 3: 1 399.10000 cents 3: 1 531.50000 cents 3: 2 533.80000 cents 3: 1 535.90000 cents 3: 2 536.10000 cents 4: 2 666.00000 cents 4: 1 666.20000 cents 4: 2 668.30000 cents 4: 1 670.60000 cents 4: 1 803.00000 cents 5: 1 798.40000 cents 5: 1 800.70000 cents 5: 1 802.80000 cents 5: 1 803.00000 cents 5: 3 935.20000 cents 6: 1 932.90000 cents 6: 1 935.20000 cents 6: 1 1067.40000 cents 6: 1 1067.60000 cents 6: 1 1069.70000 cents 6: 2 1069.90000 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 5.33333 = 16/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 134.5 266.9 533.8 666.0 800.7 932.9 1202.1 134.5 : 132.4 399.3 531.5 666.2 798.4 1067.6 1202.1 266.9 : 266.9 399.1 533.8 666.0 935.2 1069.7 1202.1 533.8 : 132.2 266.9 399.1 668.3 802.8 935.2 1202.1 666.0 : 134.7 266.9 536.1 670.6 803.0 1069.9 1202.1 800.7 : 132.2 401.4 535.9 668.3 935.2 1067.4 1202.1 932.9 : 269.2 403.7 536.1 803.0 935.2 1069.9 1202.1 1202.1
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 132.2000 .. 269.2000 cents 137.00000 cents 132.20000 cents 2: 266.9000 .. 403.7000 cents 136.80000 cents -2.30000 cents 3: 399.1000 .. 536.1000 cents 137.00000 cents -4.60000 cents 4: 666.0000 .. 803.0000 cents 137.00000 cents 129.90000 cents 5: 798.4000 .. 935.2000 cents 136.80000 cents -4.60000 cents 6: 932.9000 .. 1069.9000 cents 137.00000 cents -2.30000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 132.20000 cents, class 1 Average step (divided formal octave): 171.7286 cents Largest one step interval : 269.20000 cents Average / Smallest step : 1.299006 Largest / Average step : 1.567590 Largest / Smallest step : 2.036309 Median interval of one step : 134.50000 cents, amount: 1 Most common interval of one step : 132.20000 cents, amount: 2 Least squares average step : 163.92357 cents, oct.: 1147.46500 cents Scale is not proper Step pattern alph. order: ABCDEDF Step pattern size order : CBEADAF Scale is not a Constant Structure Scale diversity : 1.151209 Lumma stability : 0.328009 Lumma impropriety factor : 0.011480 Rothenberg efficiency : 0.408163 redundancy: 0.591837 Efficiency x scale size : 2.857143 Number of different interval sizes : 28 = 4.66667 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 5.33333 = 16/3 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 0.20000 cents Most common intervals : 266.90000 cents & inv., amount: 4 Most common triad is 0.0 266.900 935.200 cents, amount: 2 Number of recognisable fifths : 0 Number of recognisable fourths : 0 Best fifths form a closed circle Formal octave complements present : 1 = 14.2857% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions with margin 137.0000 cents: 2 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 54.6272 c. M:-97.4714 c. Lebeng 8: 1 1 1 1 1 1 2 P M ME S SD: 47.6731 c. M: 83.0125 c. 9: 1 1 2 1 1 1 2 P M ME S SD: 1.1505 c. M:-2.0667 c. Pseudo Pelog, Pelogic-7, Antiionian 236: 26 26 53 26 26 26 53 N M DE S SD: 1.3437 c. M: 2.0653 c. 240: 27 26 54 26 27 26 54 N T3 SD: 1.1529 c. M:-2.1363 c. 242: 27 27 53 27 27 27 54 P T3 SD: 1.1447 c. M: 2.2930 c. 245: 27 27 55 27 27 27 55 N M DE S SD: 1.3028 c. M: 2.0237 c. 248: 28 27 55 27 28 27 56 N SD: 1.2858 c. M: 2.2419 c. 249: 28 27 56 27 28 27 56 N T3 SD: 1.1036 c. M:-2.0759 c. 254: 28 28 57 28 28 28 57 N M DE S SD: 1.2660 c. M: 1.9850 c. 257: 29 28 57 28 29 28 58 N SD: 1.2006 c. M: 2.0911 c. 258: 29 28 58 28 29 28 58 N T3 SD: 1.0593 c. M:-2.0198 c. 263: 29 29 59 29 29 29 59 N M DE S SD: 1.2329 c. M: 1.9490 c. 266: 30 29 59 29 30 29 60 N SD: 1.1212 c. M: 1.9504 c. 267: 30 29 60 29 30 29 60 N T3 SD: 1.0194 c. M:-1.9674 c. 272: 30 30 61 30 30 30 61 N M DE S SD: 1.2031 c. M: 1.9154 c. 273: 31 30 60 30 31 30 61 N SD: 1.1933 c. M:-2.0022 c. 275: 31 30 61 30 31 30 62 N SD: 1.0470 c. M: 1.8189 c. 276: 31 30 62 30 31 30 62 N T3 SD: 0.9834 c. M:-1.9185 c. 284: 32 31 63 31 32 31 64 N SD: 0.9775 c. M: 1.6958 c. 285: 32 31 64 31 32 31 64 N T3 SD: 0.9512 c. M:-1.8726 c. 293: 33 32 65 32 33 32 66 N SD: 0.9123 c. M: 1.5802 c. 302: 34 33 67 33 34 33 68 N SD: 0.8510 c. M: 1.4715 c. 311: 35 34 69 34 35 34 70 N SD: 0.7932 c. M: 1.3691 c. 320: 36 35 71 35 36 35 72 N SD: 0.7388 c. M: 1.2725 c. 329: 37 36 73 36 37 36 74 N SD: 0.6873 c. M: 1.1812 c. 338: 38 37 75 37 38 37 76 N SD: 0.6385 c. M: 1.0947 c. 347: 39 38 77 38 39 38 78 N SD: 0.5924 c. M: 1.0127 c. 356: 40 39 79 39 40 39 80 N SD: 0.5486 c. M: 0.9348 c. 365: 41 40 81 40 41 40 82 N SD: 0.5069 c. M: 0.8608 c. 374: 42 41 83 41 42 41 84 N SD: 0.4673 c. M: 0.7904 c. 383: 43 42 85 42 43 42 86 N SD: 0.4296 c. M: 0.7232 c. 392: 44 43 87 43 44 43 88 N SD: 0.3937 c. M: 0.6592 c. 401: 45 44 89 44 45 44 90 N SD: 0.3594 c. M: 0.5980 c. 410: 46 45 91 45 46 45 92 N SD: 0.3267 c. M: 0.5395 c. 419: 47 46 93 46 47 46 94 N SD: 0.2955 c. M: 0.4835 c. 428: 48 47 95 47 48 47 96 N SD: 0.2657 c. M: 0.4299 c. 437: 49 48 97 48 49 48 98 N SD: 0.2372 c. M: 0.3785 c. 446: 50 49 99 49 50 49 100 N SD: 0.2100 c. M: 0.3291 c. 455: 51 50 101 50 51 50 102 N SD: 0.1841 c. M: 0.2818 c. 464: 52 51 103 51 52 51 104 N SD: 0.1595 c. M: 0.2362 c. 473: 53 52 105 52 53 52 106 N SD: 0.1361 c. M:-0.1962 c. 482: 54 53 107 53 54 53 108 N SD: 0.1143 c. M:-0.1751 c. 491: 55 54 109 54 55 54 110 N SD: 0.0941 c. M:-0.1548 c. 500: 56 55 111 55 56 55 112 N SD: 0.0761 c. M:-0.1352 c. 509: 57 56 113 56 57 56 114 N SD: 0.0615 c. M:-0.1163 c. 518: 58 57 115 57 58 57 116 N SD: 0.0519 c. M:-0.0981 c. 527: 59 58 117 58 59 58 118 N SD: 0.0495 c. M:-0.0805 c. 1063: 119 117 236 117 119 117 238 N SD: 0.0512 c. M:-0.0742 c. 1563: 175 172 347 172 175 172 350 N SD: 0.0502 c. M:-0.0921 c. 1572: 176 173 349 173 176 173 352 N SD: 0.0494 c. M:-0.0863 c. 2099: 235 231 466 231 235 231 470 N SD: 0.0494 c. M:-0.0848 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 2.1000 cents 2 x x x 3 x x 4 S SD: 18.0081 cents 3 x x 4 x x 5:6 S SD: 20.1083 cents 4 x 5 x 6 x 7:8 S SD: 32.4495 cents 5 x 6:7 x 8:9:10 S SD: 21.9956 cents 6 x 7:8:9 x 10:12 S SD: 14.0454 cents 7 x 8 x 10:11:12:14 S SD: 12.5949 cents 8 x 9:11:12:13:14:16 SD: 15.3195 cents 10:11:12:14:15:16:17:20 SD: 12.2460 cents 11:12:13:15:16:17:19:22 SD: 8.4080 cents 13:14:15:18:19:21:22:26 SD: 7.4622 cents 17:18:20:23:25:27:29:34 SD: 5.8172 cents 22:24:26:30:32:35:38:44 SD: 5.0687 cents 24:26:28:33:35:38:41:48 SD: 3.3567 cents 25:27:29:34:37:40:43:50 SD: 3.1083 cents 36:39:42:49:53:57:62:72 SD: 1.6164 cents 49:53:57:67:72:78:84:98 SD: 1.5049 cents 66:71:77:90:97:105:113:132 SD: 1.3816 cents 73:79:85:99:107:116:125:146 SD: 1.2944 cents 77:83:90:105:113:122:132:154 SD: 1.1520 cents 83:90:97:113:122:132:142:166 SD: 1.1348 cents 85:92:99:116:125:135:146:170 SD: 1.0653 cents 100:108:117:136:147:159:171:200 SD: 1.0559 cents 102:110:119:139:150:162:175:204 SD: 0.7600 cents 136:147:159:185:200:216:233:272 SD: 0.6725 cents 150:162:175:204:220:238:257:300 SD: 0.6336 cents 174:188:203:237:256:276:298:348 SD: 0.6091 cents 175:189:204:238:257:278:300:350 SD: 0.4766 cents 211:228:246:287:310:335:362:423 SD: 0.4467 cents 235:254:274:320:345:373:403:471 SD: 0.3854 cents 258:279:301:351:379:410:442:517 SD: 0.3372 cents 294:318:343:400:432:467:504:589 SD: 0.2653 cents 335:362:391:456:492:532:574:671 SD: 0.1804 cents 360:389:420:490:529:572:617:721 SD: 0.1577 cents 371:401:433:505:545:589:636:743 SD: 0.1277 cents 546:590:637:743:802:867:936:1093 SD: 0.1255 cents