Scala analysis: bug-pelog
Pelog-like subset of bug[9]
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 101.284 cents 101.283990 2: 260.257 cents 260.256800 3: 520.514 cents 520.513590 4: 679.486 cents 679.486410 5: 780.770 cents 780.770390 6: 939.743 cents 939.743200 7: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 260.2568 cents 260.2568 1: 101.2840 cents 101.2840 2: 158.9728 cents 158.9728 3: 260.2568 cents 260.2568 4: 158.9728 cents 158.9728 5: 101.2840 cents 101.2840 6: 158.9728 cents 158.9728 7: 260.2568 cents 260.2568
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 101.28399 cents 1: 3 158.97281 cents 1: 2 260.25679 cents 2: 3 260.25680 cents 2: 1 361.54079 cents 2: 3 419.22960 cents 3: 1 419.22961 cents 3: 5 520.51359 cents 3: 1 578.20242 cents 4: 1 621.79758 cents 4: 5 679.48641 cents 4: 1 780.77039 cents 5: 3 780.77039 cents 5: 1 838.45921 cents 5: 3 939.74320 cents 6: 2 939.74320 cents 6: 3 1041.02719 cents 6: 2 1098.71601 cents Highest number of different intervals for one interval class: 3 Average number of different intervals per interval class: 3.00000 = 3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 101.3 260.3 520.5 679.5 780.8 939.7 1200.0 101.3 : 159.0 419.2 578.2 679.5 838.5 1098.7 1200.0 260.3 : 260.3 419.2 520.5 679.5 939.7 1041.0 1200.0 520.5 : 159.0 260.3 419.2 679.5 780.8 939.7 1200.0 679.5 : 101.3 260.3 520.5 621.8 780.8 1041.0 1200.0 780.8 : 159.0 419.2 520.5 679.5 939.7 1098.7 1200.0 939.7 : 260.3 361.5 520.5 780.8 939.7 1041.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 101.2840 .. 260.2568 cents 158.97280 cents 101.28399 cents 2: 260.2568 .. 419.2296 cents 158.97280 cents 0.00001 cents 3: 419.2296 .. 578.2024 cents 158.97281 cents 0.00001 cents 4: 621.7976 .. 780.7704 cents 158.97281 cents 43.59516 cents 5: 780.7704 .. 939.7432 cents 158.97281 cents 1/1, 0.0000 cents 6: 939.7432 .. 1098.7160 cents 158.97281 cents 1/1, 0.0000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 101.28398 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 260.25679 cents Average / Smallest step : 1.692554 Largest / Average step : 1.518165 Largest / Smallest step : 2.569575 Median interval of one step : 158.97281 cents, amount: 3 Most common interval of one step : 158.97281 cents, amount: 3 Least squares average step : 163.16854 cents, oct.: 1142.17976 cents Scale is proper Scale has trivalence property Scale is a mode of a 853-tone equal temperament with octave 2/1 degrees: 72 185 370 483 555 668 853 Least number of segments generator : 427 of 600.703 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 668 of 939.742 cents and inv. generated superset size: 8 = 1 more = 114.286% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCBABC Step pattern size order : SMLMSML Scale is not a Constant Structure Scale diversity : 1.350844 Rothenberg stability : 0.571429 = 4/7 Lumma stability : 0.205136 Rothenberg efficiency : 0.609524 redundancy: 0.390476 Efficiency x scale size : 4.266667 Number of different interval sizes : 14 = 2.33333 / class Number of one step interval sizes : 3 Highest interval variety : 3 Mean interval variety : 3.00000 = 3 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 43.59516 cents Scale is a chain of 3 triads 0.0 419.230 679.486 cents Most common triad is 0.0 260.257 520.514 cents, amount: 4 Number of recognisable fifths : 0 Scale contains two identical disjunct tetrachords Formal octave complements present : 5 = 71.4286% -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
7: 0 1 2 1 0 1 2 N T3 SD: 69.7802 c. M: 101.2840 c. 8: 0 1 2 1 1 1 2 N D3 SD: 71.9440 c. M: 110.2568 c. 9: 1 1 2 1 1 1 2 P M ME S SD: 16.0704 c. M:-32.0493 c. Pseudo Pelog, Pelogic-7, Antiionian 14: 1 2 3 2 1 2 3 P T3 SD: 7.8071 c. M: 15.5697 c. Superpelog-Pelog 23: 2 3 5 3 2 3 5 P T3 SD: 1.5363 c. M:-3.0638 c. Superpelog-Pelog 60: 5 8 13 8 5 8 13 P T3 SD: 0.6438 c. M: 1.2840 c. 83: 7 11 18 11 7 11 18 P T3 SD: 0.0397 c. M: 0.0792 c. 521: 44 69 113 69 44 69 113 P T3 SD: 0.0299 c. M:-0.0596 c. 604: 51 80 131 80 51 80 131 P T3 SD: 0.0203 c. M:-0.0405 c. 687: 58 91 149 91 58 91 149 P T3 SD: 0.0131 c. M:-0.0261 c. 770: 65 102 167 102 65 102 167 P T3 SD: 0.0074 c. M:-0.0147 c. 853: 72 113 185 113 72 113 185 P T3 SD: 0.0028 c. M:-0.0056 c. 936: 79 124 203 124 79 124 203 P T3 SD: 0.0010 c. M: 0.0019 c. 1789: 151 237 388 237 151 237 388 P T3 SD: 0.0008 c. M:-0.0016 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x 4 S SD: 11.2343 cents 3 x x 4 x x 5:6 S SD: 19.9228 cents 4 x 5 x 6 x 7:8 S SD: 32.8262 cents 5 x 6:7 x 8:9:10 S SD: 23.7115 cents 6 x 7:8:9 x 10:12 S SD: 12.8388 cents 7 x 8:9:10:11:12:14 S SD: 18.2837 cents 8 x 9:11:12:13:14:16 SD: 15.8513 cents 9 x 10:12:13:14:15:18 S SD: 18.0451 cents 10:11:12:14:15:16:17:20 SD: 16.2914 cents 11:12:13:15:16:17:19:22 SD: 10.3716 cents 12:13:14:16:18:19:21:24 SD: 8.4616 cents 14:15:16:19:21:22:24:28 SD: 6.0506 cents 17:18:20:23:25:27:29:34 SD: 5.0151 cents 19:20:22:26:28:30:33:38 SD: 4.7954 cents 29:31:34:39:43:46:50:58 SD: 4.1052 cents 31:33:36:42:46:49:53:62 SD: 2.7073 cents 37:39:43:50:55:58:64:74 SD: 2.1930 cents 48:51:56:65:71:75:83:96 SD: 2.0967 cents 49:52:57:66:73:77:84:98 SD: 1.9643 cents 54:57:63:73:80:85:93:108 SD: 1.6228 cents 68:72:79:92:101:107:117:136 SD: 1.1009 cents 86:91:100:116:127:135:148:172 SD: 0.8996 cents 100:106:116:135:148:157:172:200 SD: 0.5224 cents 154:163:179:208:228:242:265:308 SD: 0.4901 cents 165:175:192:223:244:259:284:330 SD: 0.4676 cents 179:190:208:242:265:281:308:358 SD: 0.3622 cents 216:229:251:292:320:339:372:432 SD: 0.3235 cents 265:281:308:358:392:416:456:530 SD: 0.2413 cents 302:320:351:408:447:474:520:604 SD: 0.2369 cents 314:333:365:424:465:493:540:628 SD: 0.1985 cents 333:353:387:450:493:523:573:666 SD: 0.1664 cents 451:478:524:609:668:708:776:902 SD: 0.1656 cents 462:490:537:624:684:725:795:924 SD: 0.1326 cents 516:547:600:697:764:810:888:1032 SD: 0.1300 cents 530:562:616:716:785:832:912:1060 SD: 0.0936 cents