Scala analysis: gorgo-pelog
Pelog-like subset of gorgo[9]
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 64.824 cents 64.823520 2: 293.023 cents 293.022820 3: 521.222 cents 521.222130 4: 684.598 cents 684.597910 5: 749.421 cents 749.421430 6: 977.621 cents 977.620740 7: 1205.820 cents 1205.820040
SHOW/INTERVAL
0: 228.1993 cents 228.1993 1: 64.8235 cents 64.8235 2: 228.1993 cents 228.1993 3: 228.1993 cents 228.1993 4: 163.3758 cents 163.3758 5: 64.8235 cents 64.8235 6: 228.1993 cents 228.1993 7: 228.1993 cents 228.1993
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 64.82352 cents 1: 1 163.37578 cents 1: 4 228.19930 cents 2: 1 228.19930 cents 2: 3 293.02282 cents 2: 1 391.57509 cents 2: 2 456.39861 cents 3: 2 456.39861 cents 3: 4 521.22213 cents 3: 1 619.77439 cents 4: 1 586.04565 cents 4: 4 684.59791 cents 4: 2 749.42143 cents 5: 2 749.42143 cents 5: 1 814.24495 cents 5: 3 912.79722 cents 5: 1 977.62074 cents 6: 4 977.62074 cents 6: 1 1042.44426 cents 6: 2 1140.99652 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 3.33333 = 10/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 64.8 293.0 521.2 684.6 749.4 977.6 1205.8 64.8 : 228.2 456.4 619.8 684.6 912.8 1141.0 1205.8 293.0 : 228.2 391.6 456.4 684.6 912.8 977.6 1205.8 521.2 : 163.4 228.2 456.4 684.6 749.4 977.6 1205.8 684.6 : 64.8 293.0 521.2 586.0 814.2 1042.4 1205.8 749.4 : 228.2 456.4 521.2 749.4 977.6 1141.0 1205.8 977.6 : 228.2 293.0 521.2 749.4 912.8 977.6 1205.8 1205.8
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 64.8235 .. 228.1993 cents 163.37578 cents 64.82352 cents 2: 228.1993 .. 456.3986 cents 228.19931 cents 1/1, 0.0000 cents 3: 456.3986 .. 619.7744 cents 163.37578 cents 1/1, 0.0000 cents 4: 586.0457 .. 749.4214 cents 163.37578 cents -33.72874 cents 5: 749.4214 .. 977.6207 cents 228.19931 cents 1/1, 0.0000 cents 6: 977.6207 .. 1140.9965 cents 163.37578 cents 1/1, 0.0000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 64.82352 cents, class 1 Average step (divided formal octave): 172.2600 cents Largest one step interval : 228.19930 cents Average / Smallest step : 2.657369 Largest / Average step : 1.324738 Largest / Smallest step : 3.520316 Median interval of one step : 228.19930 cents, amount: 4 Most common interval of one step : 228.19930 cents, amount: 4 Least squares average step : 164.33214 cents, oct.: 1150.32495 cents Scale is not proper Scale is a mode of a 465-tone equal temperament with octave 1205.820 cents degrees: 25 113 201 264 289 377 465 Least number of segments generator : 233 of 604.207 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 377 of 977.622 cents and inv. generated superset size: 9 = 2 more = 128.571% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABBCABB Step pattern size order : SLLMSLL Scale is not a Constant Structure Scale diversity : 1.422965 Lumma stability : 0.107518 Lumma impropriety factor : 0.027972 Rothenberg efficiency : 0.552381 redundancy: 0.447619 Efficiency x scale size : 3.866667 Number of different interval sizes : 16 = 2.66667 / class Number of one step interval sizes : 3 Highest interval variety : 4 Mean interval variety : 3.33333 = 10/3 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 33.72874 cents Most common intervals : 228.19930 cents & inv., amount: 5 Most common triad is 0.0 228.199 977.621 cents, amount: 4 Number of recognisable fifths : 0 Number of recognisable fourths : 0 Scale contains two identical disjunct tetrachords Formal octave complements present : 3 = 42.8571% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
7: 0 2 1 1 0 2 1 N T3 SD: 44.1889 c. M: 64.8235 c. 9: 0 2 2 1 0 2 2 N SD: 43.3703 c. M: 79.5214 c. 10: 0 2 2 1 1 2 2 P D3 S SD: 47.6857 c. M: 81.6879 c. 11: 1 2 2 1 1 2 2 P D3 S SD: 27.0904 c. M:-44.7965 c. 12: 1 2 2 2 0 3 2 N SD: 26.4828 c. M: 46.0264 c. 14: 1 2 3 2 1 2 3 P T3 SD: 21.6047 c. M: 34.6328 c. Superpelog-Pelog 16: 1 3 3 2 1 3 3 P SD: 6.3741 c. M:-10.5402 c. Gorgo-Pelog 21: 1 4 4 3 1 4 4 N SD: 4.4772 c. M: 7.4035 c. Gorgo-Pelog 37: 2 7 7 5 2 7 7 N SD: 0.2153 c. M:-0.3559 c. Gorgo-Pelog 243: 13 46 46 33 13 46 46 N SD: 0.1903 c. M: 0.3146 c. 280: 15 53 53 38 15 53 53 N SD: 0.1367 c. M: 0.2260 c. 317: 17 60 60 43 17 60 60 N SD: 0.0956 c. M: 0.1581 c. 354: 19 67 67 48 19 67 67 N SD: 0.0631 c. M: 0.1044 c. 391: 21 74 74 53 21 74 74 N SD: 0.0368 c. M: 0.0608 c. 428: 23 81 81 58 23 81 81 N SD: 0.0150 c. M: 0.0248 c. 465: 25 88 88 63 25 88 88 N SD: 0.0033 c. M:-0.0055 c. 1358: 73 257 257 184 73 257 257 N SD: 0.0024 c. M: 0.0040 c. 1823: 98 345 345 247 98 345 345 N SD: 0.0010 c. M: 0.0016 c. 2288: 123 433 433 310 123 433 433 N SD: 0.0001 c. M: 0.0002 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 5.8200 cents 2 x x x 3 x x 4 S SD: 9.1534 cents 3 x x 4 x x 5:6 S SD: 32.0916 cents 4 x 5 x 6 x 7:8 S SD: 23.8690 cents 5 x 6:7 x 8:9:10 S SD: 20.0299 cents 6 x 7:8:9 x 11:12 SD: 16.3746 cents 7 x 8:9:10:11:12:14 S SD: 22.8861 cents 8 x 9:11:12 x 14:16 SD: 19.2451 cents 9 x 11:12:13:14:16:18 SD: 13.3459 cents 10:11:12:14:15 x 18:20 S SD: 21.2377 cents 11:12:13:15:16:17:19:22 SD: 14.2536 cents 12:13:14:16:18:19:21:24 SD: 13.7032 cents 13:14:15:18:19:20:23:26 SD: 13.3776 cents 14:15:17:19:21:22:25:28 SD: 11.9620 cents 15:16:18:20:22:23:26:30 SD: 9.5610 cents 16:17:19:22:24:25:28:32 SD: 8.4364 cents 17:18:20:23:25:26:30:34 SD: 6.1444 cents 20:21:24:27:30:31:35:40 SD: 5.3438 cents 22:23:26:30:33:34:39:44 SD: 4.3927 cents 26:27:31:35:39:40:46:52 SD: 3.5764 cents 28:29:33:38:42:43:49:56 SD: 3.5098 cents 29:30:34:39:43:45:51:58 SD: 3.4556 cents 33:34:39:45:49:51:58:66 SD: 3.1560 cents 37:38:44:50:55:57:65:74 SD: 2.9940 cents 43:45:51:58:64:66:76:86 SD: 2.8075 cents 48:50:57:65:71:74:84:96 SD: 2.1478 cents 54:56:64:73:80:83:95:108 SD: 1.3082 cents 83:86:98:112:123:128:146:167 SD: 1.2856 cents 99:103:117:134:147:153:174:199 SD: 1.1494 cents 103:107:122:139:153:159:181:207 SD: 0.6536 cents 136:141:161:184:202:210:239:273 SD: 0.6493 cents 153:159:181:207:227:236:269:307 SD: 0.5670 cents 157:163:186:212:233:242:276:315 SD: 0.2900 cents 282:293:334:381:419:435:496:566 SD: 0.2846 cents 316:328:374:427:469:487:556:634 SD: 0.2707 cents 319:331:378:431:474:492:561:640 SD: 0.2555 cents 336:349:398:454:499:518:591:674 SD: 0.1635 cents 472:490:559:638:701:728:830:947 SD: 0.1545 cents 526:546:623:711:781:811:925:1056 SD: 0.1505 cents 552:573:654:746:820:851:971:1108 SD: 0.1325 cents