Scala analysis: CD11_12_bayati_Iraq
Ce malheur est le mien - Ensemble de Muhammad Al-Qubbbânjî (bayati, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 142.691 cents 142.691106 2: 302.092 cents 302.092433 3: 487.548 cents 487.548098 4: 702.691 cents 702.690573 5: 986.896 cents 986.896342 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 213.1037 cents 213.1037 1: 142.6911 cents 142.6911 2: 159.4013 cents 159.4013 3: 185.4557 cents 185.4557 4: 215.1425 cents 215.1425 5: 284.2058 cents 284.2058 6: 213.1037 cents 213.1037
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 142.69111 cents 1: 1 159.40133 cents 1: 1 185.45566 cents 1: 1 213.10366 cents 1: 1 215.14247 cents 1: 1 284.20577 cents 2: 1 302.09243 cents 2: 1 344.85699 cents 2: 1 355.79476 cents 2: 1 400.59814 cents 2: 1 497.30943 cents 2: 1 499.34824 cents 3: 1 487.54810 cents 3: 1 515.19609 cents 3: 1 559.99947 cents 3: 1 640.00053 cents 3: 1 684.80391 cents 3: 1 712.45190 cents 4: 1 700.65176 cents 4: 1 702.69057 cents 4: 1 799.40186 cents 4: 1 844.20524 cents 4: 1 855.14301 cents 4: 1 897.90757 cents 5: 1 915.79423 cents 5: 1 984.85753 cents 5: 1 986.89634 cents 5: 1 1014.54434 cents 5: 1 1040.59867 cents 5: 1 1057.30889 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 : 142.7 302.1 487.5 702.7 986.9 1200.0 142.7 : 159.4 344.9 560.0 844.2 1057.3 1200.0 302.1 : 185.5 400.6 684.8 897.9 1040.6 1200.0 487.5 : 215.1 499.3 712.5 855.1 1014.5 1200.0 702.7 : 284.2 497.3 640.0 799.4 984.9 1200.0 986.9 : 213.1 355.8 515.2 700.7 915.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 142.6911 .. 284.2058 cents 141.51466 cents 142.69111 cents 2: 302.0924 .. 499.3482 cents 197.25581 cents 17.88666 cents 3: 487.5481 .. 712.4519 cents 224.90380 cents -11.80015 cents 4: 700.6518 .. 897.9076 cents 197.25581 cents -11.80015 cents 5: 915.7942 .. 1057.3089 cents 141.51466 cents 17.88666 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 142.69111 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 284.20577 cents Average / Smallest step : 1.401629 Largest / Average step : 1.421029 Largest / Smallest step : 1.991755 Median interval of one step : 199.27966 cents, amount: 0 Least squares average step : 188.51389 cents, oct.: 1131.08336 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : ABCEFD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 9.76133 cents Scale diversity : 1.556777 Lumma stability : 0.267630 Lumma impropriety factor : 0.019667 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 : 2.03882 cents Number of recognisable fifths : 3, average 705.2647 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 0 1 1 1 1 2 N T3 SD: 118.2680 c. M: 186.8963 c. 7: 1 1 1 1 2 1 P M ME SD: 29.5170 c. M:-41.6751 c. 10: 1 2 1 2 2 2 P D3 SD: 28.7175 c. M:-57.9076 c. 12: 1 2 2 2 3 2 P T3 SD: 18.9776 c. M: 42.6911 c. Raga Gandharavam, Sabai silt: Ethiopia 15: 2 2 2 3 3 3 P SD: 16.8339 c. M: 26.8963 c. 17: 2 2 3 3 4 3 P SD: 8.6321 c. M: 19.7395 c. 24: 3 3 4 4 6 4 P SD: 8.0808 c. M:-13.1037 c. 27: 3 4 4 5 6 5 P SD: 7.3570 c. M: 9.3578 c. 32: 4 4 5 6 7 6 P SD: 7.0184 c. M: 11.8963 c. 34: 4 5 5 6 8 6 P SD: 7.0638 c. M:-15.5546 c. 39: 5 5 6 7 9 7 P SD: 5.8973 c. M:-11.1550 c. 44: 5 6 7 8 10 8 P SD: 4.5178 c. M:-6.4003 c. 51: 6 7 8 9 12 9 P SD: 3.4592 c. M:-6.5695 c. 67: 8 9 10 12 16 12 N SD: 2.6642 c. M: 4.1831 c. 84: 10 11 13 15 20 15 N SD: 1.6535 c. M: 2.6906 c. 111: 13 15 17 20 26 20 N SD: 1.6234 c. M: 3.1126 c. 118: 14 16 18 21 28 21 N SD: 1.3291 c. M:-2.9923 c. 128: 15 17 20 23 30 23 N SD: 1.5914 c. M: 2.5213 c. 135: 16 18 21 24 32 24 N SD: 0.6200 c. M:-1.3408 c. 219: 26 29 34 39 52 39 N SD: 0.6691 c. M: 1.3207 c. 254: 30 34 39 46 60 45 N SD: 0.7824 c. M:-1.2464 c. 278: 33 37 43 50 66 49 N SD: 0.7608 c. M:-1.5929 c. 321: 38 43 49 58 76 57 N SD: 0.7502 c. M: 1.5668 c. 337: 40 45 52 60 80 60 N SD: 0.6107 c. M: 1.2069 c. 338: 40 45 52 61 80 60 N SD: 0.5746 c. M: 1.1576 c. 345: 41 46 53 62 82 61 N SD: 0.4991 c. M:-0.9297 c. 362: 43 48 56 65 86 64 N SD: 0.4439 c. M:-0.9490 c. 377: 45 50 58 68 89 67 N SD: 0.4620 c. M:-0.7577 c. 389: 46 52 60 70 92 69 N SD: 0.4432 c. M: 0.7888 c. 401: 48 53 62 72 95 71 N SD: 0.5301 c. M:-0.9498 c. 413: 49 55 64 74 98 73 N SD: 0.5255 c. M:-0.9971 c. 429: 51 57 66 77 102 76 N SD: 0.4683 c. M: 0.8348 c. 446: 53 59 69 80 106 79 N SD: 0.4783 c. M: 0.7471 c. 456: 54 61 70 82 108 81 N SD: 0.4356 c. M: 0.7060 c. 461: 55 61 71 83 109 82 N SD: 0.4064 c. M: 0.7802 c. 473: 56 63 73 85 112 84 N SD: 0.3215 c. M: 0.6192 c. 480: 57 64 74 86 114 85 N SD: 0.3177 c. M:-0.6037 c. 497: 59 66 77 89 118 88 N SD: 0.3077 c. M:-0.6288 c. 512: 61 68 79 92 121 91 N SD: 0.2459 c. M:-0.4344 c. 596: 71 79 92 107 141 106 N SD: 0.2108 c. M: 0.3192 c. 647: 77 86 100 116 153 115 N SD: 0.1917 c. M:-0.2461 c. 731: 87 97 113 131 173 130 N SD: 0.1401 c. M: 0.3026 c. 992: 118 132 153 178 235 176 N SD: 0.1680 c. M:-0.3269 c. 1009: 120 134 156 181 239 179 N SD: 0.1202 c. M:-0.2196 c. 1076: 128 143 166 193 255 191 N SD: 0.1112 c. M: 0.1875 c. 1093: 130 145 169 196 259 194 N SD: 0.0924 c. M: 0.1711 c. 1211: 144 161 187 217 287 215 N SD: 0.0810 c. M:-0.1371 c. 1228: 146 163 190 220 291 218 N SD: 0.0792 c. M: 0.1380 c. 1605: 191 213 248 288 380 285 N SD: 0.0734 c. M:-0.1132 c. 1740: 207 231 269 312 412 309 N SD: 0.0432 c. M:-0.0680 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 0.3678 cents 3 x x 4 x 5:6 S SD: 34.3578 cents 4 x 5 x 6:7:8 S SD: 21.5353 cents 5 x 6:7:8:9:10 S SD: 29.9762 cents 6 x 7:8:9:11:12 SD: 14.4960 cents 7 x 8:9:11:12:14 SD: 26.1083 cents 8:9:10:11:12:14:16 S SD: 20.5715 cents 9:10:11:12:14:16:18 S SD: 14.6224 cents 10:11:12:13:15:18:20 SD: 8.7172 cents 12:13:14:16:18:21:24 S SD: 6.8613 cents 21:23:25:28:32:37:42 SD: 5.4600 cents 22:24:26:29:33:39:44 SD: 3.0466 cents 36:39:43:48:54:64:72 SD: 2.5961 cents 46:50:55:61:69:81:92 SD: 1.7579 cents 58:63:69:77:87:103:116 SD: 1.3502 cents 68:74:81:90:102:120:136 SD: 0.9552 cents 104:113:124:138:156:184:208 SD: 0.5946 cents 126:137:150:167:189:223:252 SD: 0.4599 cents 200:217:238:265:300:354:400 SD: 0.4164 cents 221:240:263:293:332:391:442 SD: 0.3895 cents 246:267:293:326:369:435:492 SD: 0.2157 cents 268:291:319:355:402:474:536 SD: 0.2118 cents 372:404:443:493:558:658:744 SD: 0.1552 cents 467:507:556:619:701:826:934 SD: 0.1334 cents 535:581:637:709:803:946:1070 SD: 0.0646 cents