Scala analysis: xen11-wolf-pelog-2
Pelog based on stacking 7/6, pitches 2 and 6 lowered
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 128.300 cents 128.300000 2: 266.900 cents 266.900000 3: 533.800 cents 533.800000 4: 666.000 cents 666.000000 5: 794.500 cents 794.500000 6: 932.900 cents 932.900000 7: 1202.100 cents 1202.100000
SHOW/INTERVAL
0: 269.2000 cents 269.2000 1: 128.3000 cents 128.3000 2: 138.6000 cents 138.6000 3: 266.9000 cents 266.9000 4: 132.2000 cents 132.2000 5: 128.5000 cents 128.5000 6: 138.4000 cents 138.4000 7: 269.2000 cents 269.2000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 128.30000 cents 1: 1 128.50000 cents 1: 1 132.20000 cents 1: 1 138.40000 cents 1: 1 138.60000 cents 1: 1 266.90000 cents 1: 1 269.20000 cents 2: 1 260.70000 cents 2: 2 266.90000 cents 2: 1 397.50000 cents 2: 1 399.10000 cents 2: 1 405.50000 cents 2: 1 407.60000 cents 3: 1 399.10000 cents 3: 1 527.60000 cents 3: 1 533.80000 cents 3: 1 535.90000 cents 3: 2 536.10000 cents 3: 1 537.70000 cents 4: 1 664.40000 cents 4: 2 666.00000 cents 4: 1 666.20000 cents 4: 1 668.30000 cents 4: 1 674.50000 cents 4: 1 803.00000 cents 5: 1 794.50000 cents 5: 1 796.60000 cents 5: 1 803.00000 cents 5: 1 804.60000 cents 5: 2 935.20000 cents 5: 1 941.40000 cents 6: 1 932.90000 cents 6: 1 935.20000 cents 6: 1 1063.50000 cents 6: 1 1063.70000 cents 6: 1 1069.90000 cents 6: 1 1073.60000 cents 6: 1 1073.80000 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 6.33333 = 19/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 128.3 266.9 533.8 666.0 794.5 932.9 1202.1 128.3 : 138.6 405.5 537.7 666.2 804.6 1073.8 1202.1 266.9 : 266.9 399.1 527.6 666.0 935.2 1063.5 1202.1 533.8 : 132.2 260.7 399.1 668.3 796.6 935.2 1202.1 666.0 : 128.5 266.9 536.1 664.4 803.0 1069.9 1202.1 794.5 : 138.4 407.6 535.9 674.5 941.4 1073.6 1202.1 932.9 : 269.2 397.5 536.1 803.0 935.2 1063.7 1202.1 1202.1
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 128.3000 .. 269.2000 cents 140.90000 cents 128.30000 cents 2: 260.7000 .. 407.6000 cents 146.90000 cents -8.50000 cents 3: 399.1000 .. 537.7000 cents 138.60000 cents -8.50000 cents 4: 664.4000 .. 803.0000 cents 138.60000 cents 126.70000 cents 5: 794.5000 .. 941.4000 cents 146.90000 cents -8.50000 cents 6: 932.9000 .. 1073.8000 cents 140.90000 cents -8.50000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 128.30000 cents, class 1 Average step (divided formal octave): 171.7286 cents Largest one step interval : 269.20000 cents Average / Smallest step : 1.338492 Largest / Average step : 1.567590 Largest / Smallest step : 2.098207 Median interval of one step : 138.40000 cents, amount: 1 Least squares average step : 163.65786 cents, oct.: 1145.60500 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : AEFCBDG Scale is not a Constant Structure Scale diversity : 1.194324 Lumma stability : 0.318859 Lumma impropriety factor : 0.028284 Rothenberg efficiency : 0.341497 redundancy: 0.658503 Efficiency x scale size : 2.390476 Number of different interval sizes : 34 = 5.66667 / class Number of one step interval sizes : 7 Highest interval variety : 7 Mean interval variety : 6.33333 = 19/3 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 0.20000 cents Most common intervals : 266.90000 cents & inv., amount: 3 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 146.9000 cents: 2 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 56.2468 c. M:-97.4714 c. Lebeng 8: 1 1 1 1 1 1 2 P M ME S SD: 47.1608 c. M: 83.0125 c. 9: 1 1 2 1 1 1 2 P M ME S SD: 3.4486 c. M:-6.9000 c. Pseudo Pelog, Pelogic-7, Antiionian 59: 6 7 13 7 6 7 13 P T3 SD: 4.0791 c. M:-6.3610 c. 67: 7 8 15 7 7 8 15 N SD: 2.9853 c. M: 5.0612 c. 76: 8 9 17 8 8 9 17 N SD: 2.3644 c. M:-3.9816 c. 85: 9 10 19 9 9 10 19 N SD: 1.9152 c. M:-3.6094 c. 94: 10 11 21 10 10 11 21 N SD: 1.6006 c. M:-3.3085 c. 103: 11 12 23 11 11 12 23 N SD: 1.3969 c. M:-3.0602 c. 112: 12 13 25 12 12 13 25 N SD: 1.2843 c. M:-2.8518 c. 121: 13 14 27 13 13 14 27 N SD: 1.2426 c. M:-2.6744 c. 130: 14 15 29 14 14 15 29 N SD: 1.2511 c. M:-2.5215 c. 139: 15 16 31 15 15 16 31 N SD: 1.2914 c. M:-2.3885 c. 148: 16 17 33 16 16 17 33 N SD: 1.3500 c. M:-2.2716 c. 157: 17 18 35 17 17 18 35 N SD: 1.4177 c. M:-2.1682 c. 162: 17 19 36 18 17 19 36 N SD: 1.3530 c. M: 2.1537 c. 166: 18 19 37 18 18 19 37 N SD: 1.4890 c. M:-2.0759 c. 171: 18 20 38 19 18 20 38 N SD: 1.2553 c. M:-2.0667 c. 180: 19 21 40 20 19 21 40 N SD: 1.1920 c. M:-2.0667 c. 189: 20 22 42 21 20 22 42 N SD: 1.1583 c. M:-2.0667 c. 198: 21 23 44 22 21 23 44 N SD: 1.1488 c. M:-2.0667 c. 219: 23 26 48 24 24 25 49 N SD: 1.4979 c. M:-2.0630 c. 222: 24 25 50 24 24 25 50 N SD: 1.4621 c. M:-2.2716 c. 224: 24 26 49 25 24 26 50 N SD: 1.1794 c. M: 2.5147 c. 227: 24 26 51 25 24 26 51 N SD: 1.1591 c. M: 2.1203 c. 228: 24 27 50 25 25 26 51 N SD: 1.4298 c. M:-1.9908 c. 233: 25 27 51 26 25 27 52 N SD: 1.1454 c. M: 2.3996 c. 235: 25 27 52 26 25 27 53 N SD: 1.2856 c. M: 1.9119 c. 236: 25 27 53 26 25 27 53 N SD: 1.0895 c. M: 2.0305 c. 244: 26 28 54 27 26 28 55 N SD: 1.1591 c. M: 1.7652 c. 245: 26 28 55 27 26 28 55 N SD: 1.0400 c. M: 1.9473 c. 247: 26 29 55 27 26 29 55 N SD: 1.2227 c. M: 1.7632 c. 251: 27 29 55 28 27 29 56 N SD: 1.1259 c. M: 2.1940 c. 253: 27 29 56 28 27 29 57 N SD: 1.0505 c. M: 1.6451 c. 254: 27 29 57 28 27 29 57 N SD: 1.0088 c. M: 1.8701 c. 256: 27 30 57 28 27 30 57 N SD: 1.1350 c. M:-1.5449 c. 262: 28 30 58 29 28 30 59 N SD: 0.9596 c. M: 1.5725 c. 271: 29 31 60 30 29 31 61 N SD: 0.8864 c. M: 1.5048 c. 280: 30 32 62 31 30 32 63 N SD: 0.8309 c. M: 1.4414 c. 289: 31 33 64 32 31 33 65 N SD: 0.7926 c. M: 1.3820 c. 298: 32 34 66 33 32 34 67 N SD: 0.7707 c. M: 1.3262 c. 307: 33 35 68 34 33 35 69 N SD: 0.7636 c. M: 1.2736 c. 316: 34 36 70 35 34 36 71 N SD: 0.7692 c. M: 1.2241 c. 325: 35 37 72 36 35 37 73 N SD: 0.7853 c. M: 1.1772 c. 327: 35 38 72 36 35 38 73 N SD: 0.7681 c. M:-1.4587 c. 329: 35 38 73 36 35 38 74 N SD: 0.8765 c. M: 1.6255 c. 334: 36 38 74 37 36 38 75 N SD: 0.8096 c. M:-1.2677 c. 336: 36 39 74 37 36 39 75 N SD: 0.7503 c. M:-1.4259 c. 338: 36 39 75 37 36 39 76 N SD: 0.7770 c. M: 1.3985 c. 345: 37 40 76 38 37 40 77 N SD: 0.7443 c. M:-1.3948 c. 347: 37 40 77 38 37 40 78 N SD: 0.6863 c. M: 1.1833 c. 356: 38 41 79 39 38 41 80 N SD: 0.6050 c. M: 0.9789 c. 365: 39 42 81 40 39 42 82 N SD: 0.5339 c. M: 0.8608 c. 374: 40 43 83 41 40 43 84 N SD: 0.4746 c. M: 0.7904 c. 383: 41 44 85 42 41 44 86 N SD: 0.4287 c. M: 0.7232 c. 392: 42 45 87 43 42 45 88 N SD: 0.3979 c. M: 0.6592 c. 401: 43 46 89 44 43 46 90 N SD: 0.3834 c. M:-0.6035 c. 433: 46 50 96 48 46 50 97 N SD: 0.4528 c. M: 0.7672 c. 442: 47 51 98 49 47 51 99 N SD: 0.4043 c. M: 0.7421 c. 451: 48 52 100 50 48 52 101 N SD: 0.3668 c. M: 0.7180 c. 460: 49 53 102 51 49 53 103 N SD: 0.3417 c. M: 0.6948 c. 469: 50 54 104 52 50 54 105 N SD: 0.3302 c. M: 0.6725 c. 495: 53 57 110 54 53 57 111 N SD: 0.3917 c. M: 0.5952 c. 496: 53 57 110 55 53 57 111 N SD: 0.3683 c. M: 0.6105 c. 504: 54 58 112 55 54 58 113 N SD: 0.3760 c. M: 0.5518 c. 513: 55 59 114 56 55 59 115 N SD: 0.3707 c. M:-0.5801 c. 527: 56 61 117 58 56 61 118 N SD: 0.3419 c. M: 0.7034 c. 536: 57 62 119 59 57 62 120 N SD: 0.2833 c. M: 0.5757 c. 545: 58 63 121 60 58 63 122 N SD: 0.2291 c. M: 0.4523 c. 554: 59 64 123 61 59 64 124 N SD: 0.1808 c. M: 0.3329 c. 563: 60 65 125 62 60 65 126 N SD: 0.1422 c. M: 0.2172 c. 572: 61 66 127 63 61 66 128 N SD: 0.1200 c. M:-0.1988 c. 581: 62 67 129 64 62 67 130 N SD: 0.1210 c. M:-0.2275 c. 590: 63 68 131 65 63 68 132 N SD: 0.1428 c. M:-0.2556 c. 955: 102 110 212 105 102 110 214 N SD: 0.1300 c. M: 0.2329 c. 964: 103 111 214 106 103 111 216 N SD: 0.1139 c. M: 0.1663 c. 973: 104 112 216 107 104 112 218 N SD: 0.1059 c. M:-0.1876 c. 1509: 161 174 335 166 161 174 338 N SD: 0.1094 c. M: 0.2696 c. 1518: 162 175 337 167 162 175 340 N SD: 0.0915 c. M: 0.2271 c. 1527: 163 176 339 168 163 176 342 N SD: 0.0755 c. M: 0.1851 c. 1536: 164 177 341 169 164 177 344 N SD: 0.0624 c. M: 0.1436 c. 1545: 165 178 343 170 165 178 346 N SD: 0.0543 c. M: 0.1025 c. 1554: 166 179 345 171 166 179 348 N SD: 0.0530 c. M:-0.1097 c. 2126: 227 245 472 234 227 245 476 N SD: 0.0513 c. M:-0.0742 c. 2135: 228 246 474 235 228 246 478 N SD: 0.0531 c. M:-0.0816 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: 22.1762 cents 6 x 7:8:9 x 10:12 S SD: 14.0454 cents 7 x 8 x 10:11:12:14 S SD: 12.2938 cents 8 x 9:11:12:13:14:16 SD: 15.7947 cents 10:11:12:14:15:16:17:20 SD: 12.7491 cents 11:12:13:15:16:17:19:22 SD: 8.0273 cents 13:14:15:18:19:21:22:26 SD: 7.9475 cents 14:15:16:19:21:22:24:28 SD: 7.5894 cents 17:18:20:23:25:27:29:34 SD: 5.1446 cents 24:26:28:33:35:38:41:48 SD: 3.5448 cents 28:30:33:38:41:44:48:56 SD: 3.4828 cents 36:39:42:49:53:57:62:72 SD: 1.9776 cents 53:57:62:72:78:84:91:106 SD: 1.1790 cents 77:83:90:105:113:122:132:154 SD: 0.8549 cents 91:98:106:124:134:144:156:182 SD: 0.7979 cents 119:128:139:162:175:188:204:238 SD: 0.6931 cents 132:142:154:180:194:209:226:264 SD: 0.6881 cents 143:154:167:195:210:226:245:286 SD: 0.6842 cents 144:155:168:196:212:228:247:288 SD: 0.6501 cents 155:167:181:211:228:245:266:310 SD: 0.6377 cents 158:170:184:215:232:250:271:316 SD: 0.6286 cents 168:181:196:229:247:266:288:336 SD: 0.5303 cents 196:211:229:267:288:310:336:392 SD: 0.5288 cents 211:227:246:287:310:334:362:423 SD: 0.5149 cents 221:238:258:301:325:350:379:443 SD: 0.4809 cents 235:253:274:320:345:372:403:471 SD: 0.3838 cents 258:278:301:351:379:408:442:517 SD: 0.3264 cents 288:310:336:392:423:456:494:577 SD: 0.3009 cents 311:335:363:423:457:492:533:623 SD: 0.2576 cents 324:349:378:441:476:513:555:649 SD: 0.2399 cents 335:361:391:456:492:530:574:671 SD: 0.2397 cents 354:381:413:482:520:560:607:709 SD: 0.2137 cents 388:418:453:528:570:614:665:777 SD: 0.2118 cents 390:420:455:531:573:617:668:781 SD: 0.1990 cents 402:433:469:547:591:636:689:805 SD: 0.1960 cents 426:459:497:580:626:674:730:853 SD: 0.1656 cents 443:477:517:603:651:701:759:887 SD: 0.1511 cents 479:516:559:652:704:758:821:959 SD: 0.1457 cents 546:588:637:743:802:864:936:1093 SD: 0.1152 cents