Scala analysis: CD12_21_Iraq
(Suite) Ô toi qui traverses la steppe - Ensemble de Muhammad Al-Qubbbânjî (unknown maqam, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 210.289 cents 210.288817 2: 292.112 cents 292.112416 3: 484.635 cents 484.635436 4: 691.283 cents 691.282676 5: 817.093 cents 817.093280 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 382.9067 cents 382.9067 1: 210.2888 cents 210.2888 2: 81.8236 cents 81.8236 3: 192.5230 cents 192.5230 4: 206.6472 cents 206.6472 5: 125.8106 cents 125.8106 6: 382.9067 cents 382.9067
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 81.82360 cents 1: 1 125.81060 cents 1: 1 192.52302 cents 1: 1 206.64724 cents 1: 1 210.28882 cents 1: 1 382.90672 cents 2: 1 274.34662 cents 2: 1 292.11242 cents 2: 1 332.45784 cents 2: 1 399.17026 cents 2: 1 508.71732 cents 2: 1 593.19554 cents 3: 1 480.99386 cents 3: 1 484.63544 cents 3: 1 524.98086 cents 3: 1 675.01914 cents 3: 1 715.36456 cents 3: 1 719.00614 cents 4: 1 606.80446 cents 4: 1 691.28268 cents 4: 1 800.82974 cents 4: 1 867.54216 cents 4: 1 907.88758 cents 4: 1 925.65338 cents 5: 1 817.09328 cents 5: 1 989.71118 cents 5: 1 993.35276 cents 5: 1 1007.47698 cents 5: 1 1074.18940 cents 5: 1 1118.17640 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 6.00000 = 6
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 210.3 292.1 484.6 691.3 817.1 1200.0 210.3 : 81.8 274.3 481.0 606.8 989.7 1200.0 292.1 : 192.5 399.2 525.0 907.9 1118.2 1200.0 484.6 : 206.6 332.5 715.4 925.7 1007.5 1200.0 691.3 : 125.8 508.7 719.0 800.8 993.4 1200.0 817.1 : 382.9 593.2 675.0 867.5 1074.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 81.8236 .. 382.9067 cents 301.08312 cents 81.82360 cents 2: 274.3466 .. 593.1955 cents 318.84892 cents -108.56010 cents 3: 480.9939 .. 719.0061 cents 238.01228 cents -112.20168 cents 4: 606.8045 .. 925.6534 cents 318.84892 cents -112.20168 cents 5: 817.0933 .. 1118.1764 cents 301.08312 cents -108.56010 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 81.82360 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 382.90672 cents Average / Smallest step : 2.444283 Largest / Average step : 1.914534 Largest / Smallest step : 4.679661 Median interval of one step : 199.58513 cents, amount: 0 Least squares average step : 179.11008 cents, oct.: 1074.66047 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : EACDBF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 13.60893 cents Scale diversity : 1.696540 Lumma stability : 0.136373 Lumma impropriety factor : 0.367936 Rothenberg efficiency : 0.333333 redundancy: 0.666667 Efficiency x scale size : 2.000000 Number of different interval sizes : 30 = 6.00000 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 6.00000 = 6 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 3.64158 cents Number of recognisable fifths : 3, average 708.5511 cents Number of appreciable fifths : 1, average 691.2827 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 0 1 1 1 2 N T3 SD: 63.7422 c. M: 92.1124 c. 7: 1 1 1 1 1 2 P M ME SD: 33.1644 c. M:-50.7447 c. 10: 2 0 2 2 1 3 N SD: 28.7789 c. M: 52.1124 c. 12: 2 1 2 2 1 4 N SD: 11.3455 c. M: 17.0933 c. Raga Adi Bhairavi 25: 4 2 4 4 3 8 N SD: 11.1497 c. M: 19.2827 c. 28: 5 2 4 5 3 9 N SD: 6.9702 c. M: 13.2069 c. 29: 5 2 5 5 3 9 N SD: 8.3431 c. M:-12.1656 c. 35: 6 3 5 6 4 11 N SD: 7.9324 c. M:-16.4590 c. 38: 7 2 6 7 4 12 N SD: 7.3693 c. M: 10.9512 c. 40: 7 3 6 7 4 13 N SD: 4.7565 c. M:-7.8876 c. 45: 8 3 7 8 5 14 N SD: 4.6206 c. M:-9.5734 c. 50: 9 3 8 9 5 16 N SD: 3.9679 c. M:-5.7112 c. 57: 10 4 9 10 6 18 N SD: 2.4060 c. M:-3.9594 c. 87: 15 6 14 15 9 28 N SD: 2.4017 c. M: 3.3923 c. 97: 17 7 15 17 10 31 N SD: 2.2462 c. M:-4.7948 c. 104: 18 7 17 18 11 33 N SD: 2.0692 c. M: 3.6509 c. 116: 20 8 19 20 12 37 N SD: 1.9728 c. M: 3.3923 c. 119: 21 8 19 21 12 38 N SD: 1.9629 c. M:-4.5156 c. 132: 23 9 21 23 14 42 N SD: 1.4227 c. M: 2.8173 c. 141: 25 9 23 24 15 45 N SD: 1.7137 c. M: 2.7507 c. 144: 25 10 23 25 15 46 N SD: 1.0040 c. M: 1.9555 c. 153: 27 10 25 26 16 49 N SD: 1.3963 c. M: 1.9163 c. 156: 27 11 25 27 16 50 N SD: 1.3386 c. M: 2.5965 c. 160: 28 11 26 27 17 51 N SD: 1.3070 c. M:-2.8646 c. 181: 32 12 29 31 19 58 N SD: 1.2831 c. M:-1.8659 c. 188: 33 13 30 32 20 60 N SD: 1.0249 c. M: 1.9210 c. 198: 35 13 32 34 21 63 N SD: 1.0145 c. M:-1.8324 c. 201: 35 14 32 35 21 64 N SD: 0.9408 c. M: 1.3336 c. 210: 37 14 34 36 22 67 N SD: 0.7017 c. M:-1.1398 c. 250: 44 17 40 43 26 80 N SD: 0.6496 c. M: 1.0933 c. 267: 47 18 43 46 28 85 N SD: 0.7047 c. M:-0.9471 c. 292: 51 20 47 50 31 93 N SD: 0.5713 c. M: 0.8717 c. 332: 58 23 53 57 35 106 N SD: 0.5546 c. M: 0.9212 c. 342: 60 23 55 59 36 109 N SD: 0.4519 c. M: 0.8843 c. 354: 62 24 57 61 37 113 N SD: 0.2741 c. M: 0.5870 c. 451: 79 31 72 78 47 144 N SD: 0.3648 c. M:-0.5705 c. 530: 93 36 85 91 56 169 N SD: 0.3351 c. M: 0.7166 c. 542: 95 37 87 93 57 173 N SD: 0.2410 c. M: 0.5078 c. 599: 105 41 96 103 63 191 N SD: 0.2097 c. M:-0.3751 c. 686: 120 47 110 118 72 219 N SD: 0.2183 c. M: 0.3763 c. 743: 130 51 119 128 78 237 N SD: 0.1764 c. M: 0.3292 c. 896: 157 61 144 154 94 286 N SD: 0.1404 c. M: 0.2112 c. 953: 167 65 153 164 100 304 N SD: 0.0776 c. M:-0.1495 c. 1307: 229 89 210 225 137 417 N SD: 0.0905 c. M: 0.1461 c. 1335: 234 91 214 230 140 426 N SD: 0.0647 c. M: 0.1411 c. 1689: 296 115 271 291 177 539 N SD: 0.0592 c. M: 0.1053 c. 2231: 391 152 358 384 234 712 N SD: 0.0563 c. M: 0.1128 c. 2288: 401 156 367 394 240 730 N SD: 0.0246 c. M:-0.0396 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 5.3362 cents 3 x x 4 x 5:6 S SD: 22.8630 cents 4 x 5 x 6 x 8 S SD: 31.6013 cents 5 x 6:7 x 8:10 S SD: 25.1807 cents 6 x 7:8:9:10:12 S SD: 14.7723 cents 7:8 x 9:10:11:14 SD: 19.5289 cents 8:9 x 11:12:13:16 SD: 14.3531 cents 10:11:12:13:15:16:20 SD: 10.0765 cents 12 x 14:16:18:19:24 SD: 7.4689 cents 13:15 x 17:19:21:26 SD: 11.2437 cents 15:17:18:20:22:24:30 SD: 6.6313 cents 16:18:19:21:24:26:32 SD: 5.0686 cents 22:25:26:29:33:35:44 SD: 3.5768 cents 31:35:37:41:46:50:62 SD: 3.2355 cents 37:42:44:49:55:59:74 SD: 2.6827 cents 38:43:45:50:57:61:76 SD: 2.4939 cents 53:60:63:70:79:85:106 SD: 1.4928 cents 55:62:65:73:82:88:110 SD: 1.2788 cents 71:80:84:94:106:114:142 SD: 0.9047 cents 93:105:110:123:139:149:186 SD: 0.8096 cents 108:122:128:143:161:173:216 SD: 0.4833 cents 179:202:212:237:267:287:358 SD: 0.3462 cents 257:290:304:340:383:412:514 SD: 0.3118 cents 294:332:348:389:438:471:588 SD: 0.2800 cents 310:350:367:410:462:497:620 SD: 0.1400 cents 418:472:495:553:623:670:836 SD: 0.1322 cents 489:552:579:647:729:784:978 SD: 0.1046 cents