Scala analysis: CD13_05_husayni_Iraq
C'est comme si Midi était la nuit - Ensemble de Muhammad Al-Qubbbânjî (husayni, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 178.903 cents 178.902898 2: 284.440 cents 284.440287 3: 488.692 cents 488.692416 4: 739.515 cents 739.514801 5: 997.264 cents 997.264254 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 202.7357 cents 202.7357 1: 178.9029 cents 178.9029 2: 105.5374 cents 105.5374 3: 204.2521 cents 204.2521 4: 250.8224 cents 250.8224 5: 257.7495 cents 257.7495 6: 202.7357 cents 202.7357
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 105.53739 cents 1: 1 178.90290 cents 1: 1 202.73575 cents 1: 1 204.25213 cents 1: 1 250.82239 cents 1: 1 257.74945 cents 2: 1 284.44029 cents 2: 1 309.78952 cents 2: 1 381.63864 cents 2: 1 455.07451 cents 2: 1 460.48520 cents 2: 1 508.57184 cents 3: 1 487.17603 cents 3: 1 488.69242 cents 3: 1 560.61190 cents 3: 1 639.38810 cents 3: 1 711.30758 cents 3: 1 712.82397 cents 4: 1 691.42816 cents 4: 1 739.51480 cents 4: 1 744.92549 cents 4: 1 818.36136 cents 4: 1 890.21048 cents 4: 1 915.55971 cents 5: 1 942.25055 cents 5: 1 949.17762 cents 5: 1 995.74787 cents 5: 1 997.26425 cents 5: 1 1021.09710 cents 5: 1 1094.46261 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 : 178.9 284.4 488.7 739.5 997.3 1200.0 178.9 : 105.5 309.8 560.6 818.4 1021.1 1200.0 284.4 : 204.3 455.1 712.8 915.6 1094.5 1200.0 488.7 : 250.8 508.6 711.3 890.2 995.7 1200.0 739.5 : 257.7 460.5 639.4 744.9 949.2 1200.0 997.3 : 202.7 381.6 487.2 691.4 942.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 105.5374 .. 257.7495 cents 152.21206 cents 105.53739 cents 2: 284.4403 .. 508.5718 cents 224.13155 cents 26.69083 cents 3: 487.1760 .. 712.8240 cents 225.64793 cents -21.39580 cents 4: 691.4282 .. 915.5597 cents 224.13155 cents -21.39580 cents 5: 942.2505 .. 1094.4626 cents 152.21206 cents 26.69083 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 105.53739 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 257.74945 cents Average / Smallest step : 1.895063 Largest / Average step : 1.288747 Largest / Smallest step : 2.442257 Median interval of one step : 203.49394 cents, amount: 0 Least squares average step : 190.74990 cents, oct.: 1144.49942 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : BADEFC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 19.87942 cents Scale diversity : 1.639312 Lumma stability : 0.220380 Lumma impropriety factor : 0.035660 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 : 1.51638 cents Number of recognisable fifths : 3, average 705.1866 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 0 1 2 1 1 N T3 SD: 56.4322 c. M: 88.6924 c. 7: 1 1 1 1 2 1 P M ME SD: 36.5104 c. M:-58.4169 c. 8: 1 1 1 2 2 1 N D3 S SD: 30.1816 c. M:-52.7357 c. 10: 1 1 2 2 2 2 P D3 S SD: 34.8557 c. M: 58.9029 c. 12: 2 1 2 2 3 2 P G D3 SD: 19.9330 c. M: 39.5148 c. Minor Hexatonic, Raga Manirangu, Nayaki, Palasi, Pushpalithika (Puspalatika), Suha Sughrai, Yo: Japan, Eskimo Hexatonic 1 (Alaska: King Island) 13: 2 1 2 3 3 2 N SD: 13.8801 c. M: 27.1540 c. 18: 3 1 3 4 4 3 N SD: 14.6732 c. M: 22.0257 c. 20: 3 2 3 4 5 3 N SD: 14.2397 c. M:-22.7357 c. 23: 3 2 4 5 5 4 N SD: 16.0224 c. M: 23.5707 c. 24: 4 2 4 5 5 4 P SD: 12.4665 c. M:-21.0971 c. 25: 4 2 4 5 6 4 N SD: 11.2238 c. M: 19.5148 c. 26: 4 2 5 5 6 4 N SD: 11.3988 c. M:-18.9999 c. 29: 4 3 5 6 6 5 P SD: 7.2305 c. M: 13.3857 c. 34: 5 3 6 7 7 6 P SD: 4.5459 c. M: 9.0290 c. 41: 6 4 7 8 9 7 P SD: 6.0962 c. M:-8.8686 c. 42: 6 4 7 9 9 7 N SD: 3.7642 c. M: 7.4743 c. 47: 7 4 8 10 10 8 N SD: 2.1952 c. M: 3.5892 c. 88: 13 8 15 18 19 15 N SD: 2.0197 c. M: 3.1512 c. 101: 15 9 17 21 22 17 N SD: 1.4311 c. M: 2.8811 c. 135: 20 12 23 28 29 23 N SD: 1.0986 c. M: 1.7370 c. 182: 27 16 31 38 39 31 N SD: 1.0085 c. M: 1.6599 c. 201: 30 18 34 42 43 34 N SD: 0.9983 c. M:-2.1269 c. 206: 31 18 35 43 44 35 N SD: 0.9670 c. M:-1.6796 c. 214: 32 19 36 45 46 36 N SD: 0.8731 c. M:-1.5410 c. 235: 35 21 40 49 50 40 N SD: 1.1390 c. M:-1.5203 c. 236: 35 21 40 49 51 40 N SD: 1.0541 c. M: 2.2267 c. 248: 37 22 42 52 53 42 N SD: 0.5772 c. M:-1.0436 c. 295: 44 26 50 62 63 50 N SD: 0.5028 c. M:-0.8242 c. 349: 52 31 59 73 75 59 N SD: 0.4445 c. M:-0.9465 c. 354: 53 31 60 74 76 60 N SD: 0.5305 c. M:-0.7581 c. 368: 55 32 63 77 79 62 N SD: 0.5406 c. M: 0.7446 c. 383: 57 34 65 80 82 65 N SD: 0.4859 c. M: 0.9196 c. 396: 59 35 67 83 85 67 N SD: 0.3965 c. M: 0.8136 c. 422: 63 37 72 88 91 71 N SD: 0.4019 c. M:-0.8400 c. 456: 68 40 78 95 98 77 N SD: 0.3361 c. M:-0.7813 c. 461: 69 40 79 96 99 78 N SD: 0.5192 c. M: 0.7093 c. 464: 69 41 79 97 100 78 N SD: 0.4586 c. M:-1.0116 c. 469: 70 41 80 98 101 79 N SD: 0.3152 c. M:-0.6035 c. 498: 74 44 85 104 107 84 N SD: 0.3511 c. M: 0.5896 c. 503: 75 44 86 105 108 85 N SD: 0.2708 c. M: 0.5437 c. 604: 90 53 103 126 130 102 N SD: 0.2331 c. M: 0.4420 c. 638: 95 56 109 133 137 108 N SD: 0.3194 c. M: 0.4277 c. 646: 96 57 110 135 139 109 N SD: 0.2916 c. M: 0.5747 c. 651: 97 57 111 136 140 110 N SD: 0.2884 c. M: 0.5693 c. 670: 100 59 114 140 144 113 N SD: 0.2511 c. M:-0.3477 c. 717: 107 63 122 150 154 121 N SD: 0.1544 c. M:-0.2342 c. 852: 127 75 145 178 183 144 N SD: 0.0572 c. M: 0.0812 c. 1569: 234 138 267 328 337 265 N SD: 0.0543 c. M:-0.0721 c. 2173: 324 191 370 454 467 367 N SD: 0.0473 c. M: 0.0762 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 18.7799 cents 3 x x 4 x 5:6 S SD: 37.7641 cents 4 x 5 x 6:7:8 S SD: 28.0598 cents 5 x 6:7:8:9:10 S SD: 25.0523 cents 6 x 7:8:9:11:12 SD: 13.4479 cents 7:8 x 9:11:12:14 SD: 21.5095 cents 8:9 x 11:12:14:16 SD: 16.4521 cents 9:10:11:12:14:16:18 S SD: 11.4398 cents 10:11:12:13:15:18:20 SD: 10.7749 cents 15:17:18:20:23:27:30 SD: 8.9787 cents 17:19:20:23:26:30:34 SD: 6.6773 cents 18:20:21:24:28:32:36 S SD: 5.4135 cents 27:30:32:36:41:48:54 SD: 3.5798 cents 28:31:33:37:43:50:56 SD: 1.6516 cents 55:61:65:73:84:98:110 SD: 1.4253 cents 73:81:86:97:112:130:146 SD: 0.7254 cents 101:112:119:134:155:180:202 SD: 0.6328 cents 156:173:184:207:239:278:312 SD: 0.5936 cents 163:181:192:216:250:290:326 SD: 0.5134 cents 184:204:217:244:282:327:368 SD: 0.3577 cents 212:235:250:281:325:377:424 SD: 0.2677 cents 257:285:303:341:394:457:514 SD: 0.2259 cents 285:316:336:378:437:507:570 SD: 0.1316 cents 533:591:628:707:817:948:1066 SD: 0.1220 cents 561:622:661:744:860:998:1122 SD: 0.0863 cents