Scala analysis: Indonesia_Pelog_Saih_Pitu_Gambuh
Pelog Saih Pitu Gambuh, Indonesia
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 148.000 cents 148.000000 2: 280.000 cents 280.000000 3: 478.000 cents 478.000000 4: 630.000 cents 630.000000 5: 771.000 cents 771.000000 6: 852.000 cents 852.000000 7: 1202.000 cents 1202.000000
SHOW/INTERVAL
0: 350.0000 cents 350.0000 1: 148.0000 cents 148.0000 2: 132.0000 cents 132.0000 3: 198.0000 cents 198.0000 4: 152.0000 cents 152.0000 5: 141.0000 cents 141.0000 6: 81.0000 cents 81.0000 7: 350.0000 cents 350.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 81.00000 cents 1: 1 132.00000 cents 1: 1 141.00000 cents 1: 1 148.00000 cents 1: 1 152.00000 cents 1: 1 198.00000 cents 1: 1 350.00000 cents 2: 1 222.00000 cents 2: 1 280.00000 cents 2: 1 293.00000 cents 2: 1 330.00000 cents 2: 1 350.00000 cents 2: 1 431.00000 cents 2: 1 498.00000 cents 3: 1 374.00000 cents 3: 1 478.00000 cents 3: 1 482.00000 cents 3: 1 491.00000 cents 3: 1 572.00000 cents 3: 1 579.00000 cents 3: 1 630.00000 cents 4: 1 572.00000 cents 4: 1 623.00000 cents 4: 1 630.00000 cents 4: 1 711.00000 cents 4: 1 720.00000 cents 4: 1 724.00000 cents 4: 1 828.00000 cents 5: 1 704.00000 cents 5: 1 771.00000 cents 5: 1 852.00000 cents 5: 1 872.00000 cents 5: 1 909.00000 cents 5: 1 922.00000 cents 5: 1 980.00000 cents 6: 1 852.00000 cents 6: 1 1004.00000 cents 6: 1 1050.00000 cents 6: 1 1054.00000 cents 6: 1 1061.00000 cents 6: 1 1070.00000 cents 6: 1 1121.00000 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 7.00000 = 7
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 148.0 280.0 478.0 630.0 771.0 852.0 1202.0 148.0 : 132.0 330.0 482.0 623.0 704.0 1054.0 1202.0 280.0 : 198.0 350.0 491.0 572.0 922.0 1070.0 1202.0 478.0 : 152.0 293.0 374.0 724.0 872.0 1004.0 1202.0 630.0 : 141.0 222.0 572.0 720.0 852.0 1050.0 1202.0 771.0 : 81.0 431.0 579.0 711.0 909.0 1061.0 1202.0 852.0 : 350.0 498.0 630.0 828.0 980.0 1121.0 1202.0 1202.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 81.0000 .. 350.0000 cents 269.00000 cents 81.00000 cents 2: 222.0000 .. 498.0000 cents 276.00000 cents -128.00000 cents 3: 374.0000 .. 630.0000 cents 256.00000 cents -124.00000 cents 4: 572.0000 .. 828.0000 cents 256.00000 cents -58.00000 cents 5: 704.0000 .. 980.0000 cents 276.00000 cents -124.00000 cents 6: 852.0000 .. 1121.0000 cents 269.00000 cents -128.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 81.00000 cents, class 1 Average step (divided formal octave): 171.7143 cents Largest one step interval : 350.00000 cents Average / Smallest step : 2.119929 Largest / Average step : 2.038270 Largest / Smallest step : 4.320988 Median interval of one step : 148.00000 cents, amount: 1 Least squares average step : 157.45000 cents, oct.: 1102.15000 cents Scale is not proper Scale is a mode of a 1202-tone equal temperament with octave 1202.000 cents degrees: 148 280 478 630 771 852 1202 Least number of segments generator : 603 of 603.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 835 of 835.000 cents and inv. generated superset size: 247 = 240 more = 3528.571% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFG Step pattern size order : DBFECAG Scale is sum-free (all different intervals) Scale is not a Constant Structure Scale diversity : 1.632528 Lumma stability : 0.134775 Lumma impropriety factor : 0.467554 Rothenberg efficiency : 0.312925 redundancy: 0.687075 Efficiency x scale size : 2.190476 Number of different interval sizes : 38 = 6.33333 / class Number of one step interval sizes : 7 Highest interval variety : 7 Mean interval variety : 7.00000 = 7 Median interval variety : 7 Lowest interval variety : 7 Smallest interval difference : 4.00000 cents Number of recognisable fifths : 3, average 711.6667 cents Number of appreciable fifths : 2, average 707.5000 cents Number of recognisable fourths : 3, average 490.3333 cents Number of appreciable fourths : 2, average 494.5000 cents Formal octave complements present : 1 = 14.2857% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 0 2 N T3 SD: 49.1496 c. M:-87.5714 c. 8: 1 1 1 1 1 1 2 P M ME S SD: 26.3200 c. M:-49.5000 c. 10: 1 1 2 1 1 1 3 N T3 SD: 28.7408 c. M: 49.8000 c. 11: 1 2 1 2 1 1 3 N T3 SD: 30.8135 c. M:-47.8182 c. 13: 2 1 2 2 1 1 4 N SD: 21.6707 c. M:-36.9231 c. 15: 2 2 2 2 2 1 4 N SD: 23.0283 c. M:-40.5333 c. 17: 2 2 3 2 2 1 5 N SD: 7.9008 c. M:-16.9412 c. 25: 3 3 4 3 3 2 7 N SD: 6.5692 c. M:-13.4400 c. 30: 4 3 5 4 3 2 9 N SD: 8.3503 c. M:-12.2667 c. 31: 4 3 5 4 4 2 9 N SD: 7.5508 c. M: 12.7097 c. 38: 5 4 6 5 4 3 11 N SD: 6.4247 c. M: 11.8421 c. 40: 5 4 7 5 5 2 12 N SD: 6.7998 c. M: 10.6000 c. 42: 5 5 7 5 5 3 12 N SD: 5.0892 c. M:-8.5238 c. 48: 6 5 8 6 6 3 14 N SD: 3.2640 c. M:-5.2917 c. 65: 8 7 11 8 8 4 19 N SD: 2.6816 c. M:-5.6769 c. 73: 9 8 12 9 9 5 21 N SD: 2.5339 c. M: 4.3014 c. 90: 11 10 15 11 11 6 26 N SD: 2.2423 c. M:-3.6222 c. 103: 13 11 17 13 12 7 30 N SD: 1.4460 c. M:-3.7087 c. 111: 14 12 18 14 13 8 32 N SD: 2.3354 c. M:-3.6036 c. 116: 14 13 19 15 13 8 34 N SD: 2.3249 c. M: 4.2069 c. 120: 15 13 20 15 14 8 35 N SD: 1.4463 c. M:-2.8000 c. 128: 16 14 21 16 15 9 37 N SD: 1.5573 c. M:-2.5469 c. 145: 18 16 24 18 17 10 42 N SD: 1.5165 c. M:-2.8000 c. 151: 19 16 25 19 18 10 44 N SD: 1.4777 c. M:-3.2450 c. 154: 19 17 25 20 18 10 45 N SD: 1.4143 c. M:-2.2208 c. 164: 20 18 27 21 19 11 48 N SD: 1.3181 c. M: 1.8049 c. 168: 21 18 28 21 20 11 49 N SD: 1.2700 c. M:-2.2500 c. 179: 22 20 29 23 21 12 52 N SD: 1.1582 c. M:-2.0335 c. 189: 23 21 31 24 22 13 55 N SD: 0.9542 c. M: 1.7249 c. 193: 24 21 32 24 23 13 56 N SD: 1.1167 c. M:-1.5544 c. 206: 25 23 34 26 24 14 60 N SD: 0.8785 c. M: 2.1262 c. 237: 29 26 39 30 28 16 69 N SD: 0.8258 c. M: 1.2574 c. 254: 31 28 42 32 30 17 74 N SD: 0.6388 c. M: 1.2992 c. 267: 33 29 44 34 31 18 78 N SD: 0.8030 c. M: 1.1798 c. 279: 34 31 46 35 33 19 81 N SD: 0.7970 c. M: 1.5197 c. 284: 35 31 47 36 33 19 83 N SD: 0.6626 c. M: 1.2887 c. 292: 36 32 48 37 34 20 85 N SD: 0.5119 c. M: 1.2260 c. 309: 38 34 51 39 36 21 90 N SD: 0.3614 c. M: 0.7864 c. 340: 42 37 56 43 40 23 99 N SD: 0.5194 c. M: 0.7353 c. 357: 44 39 59 45 42 24 104 N SD: 0.2673 c. M: 0.5434 c. 511: 63 56 84 65 60 34 149 N SD: 0.3731 c. M:-0.5382 c. 536: 66 59 88 68 63 36 156 N SD: 0.2546 c. M:-0.4328 c. 656: 81 72 108 83 77 44 191 N SD: 0.2962 c. M:-0.4177 c. 666: 82 73 110 84 78 45 194 N SD: 0.2049 c. M: 0.3483 c. 820: 101 90 135 104 96 55 239 N SD: 0.1842 c. M: 0.3390 c. 828: 102 91 136 105 97 56 241 N SD: 0.1836 c. M: 0.3937 c. 845: 104 93 139 107 99 57 246 N SD: 0.1129 c. M:-0.2296 c. 1154: 142 127 190 146 135 78 336 N SD: 0.1358 c. M: 0.2201 c. 1185: 146 130 195 150 139 80 345 N SD: 0.1133 c. M: 0.2430 c. 1202: 148 132 198 152 141 81 350 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 2.0000 cents 2 x x x x 3 x 4 S SD: 34.5370 cents 3 x x 4 x x 5:6 S SD: 12.7056 cents 4 x x 5 x 6:7:8 S SD: 40.9465 cents 5 x 6 x 7 x 8:10 S SD: 17.6730 cents 6 x 7:8 x 9:10:12 S SD: 15.9906 cents 7 x 8:9:10:11 x 14 SD: 13.4438 cents 8:9 x 11 x 12:13:16 SD: 23.1554 cents 9:10:11:12:13:14:15:18 S SD: 12.1732 cents 10:11:12:13:14 x 16:20 S SD: 12.7500 cents 11:12:13:15:16:17:18:22 SD: 9.2822 cents 12:13:14:16:17:19:20:24 SD: 7.8846 cents 16:17:19:21:23:25:26:32 SD: 6.9295 cents 19:21:22:25:27:30:31:38 SD: 6.7248 cents 21:23:25:28:30:33:34:42 SD: 5.6777 cents 22:24:26:29:32:34:36:44 SD: 3.9036 cents 23:25:27:30:33:36:38:46 SD: 3.7552 cents 32:35:38:42:46:50:52:64 SD: 3.3535 cents 34:37:40:45:49:53:56:68 SD: 2.0969 cents 46:50:54:61:66:72:75:92 SD: 2.0927 cents 57:62:67:75:82:89:93:114 SD: 0.8881 cents 91:99:107:120:131:142:149:182 SD: 0.5198 cents 148:161:174:195:213:231:242:296 SD: 0.4523 cents 189:206:222:249:272:295:309:378 SD: 0.4197 cents 223:243:262:294:321:348:365:447 SD: 0.3775 cents 255:278:300:336:367:398:417:511 SD: 0.3705 cents 267:291:314:352:384:417:437:535 SD: 0.3412 cents 280:305:329:369:403:437:458:561 SD: 0.2110 cents 324:353:381:427:466:506:530:649 SD: 0.2104 cents 337:367:396:444:485:526:551:675 SD: 0.2100 cents 346:377:407:456:498:540:566:693 SD: 0.2086 cents 371:404:436:489:534:579:607:743 SD: 0.1535 cents 415:452:488:547:597:648:679:831 SD: 0.1329 cents 547:596:643:721:787:854:895:1095 SD: 0.1239 cents