Scala analysis: CD12_15_Iraq
Depuis le jour de ton départ - Ensemble de Muhammad Al-Qubbbânjî (bherzawi, Iraq)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 150.816 cents 150.816183 2: 297.524 cents 297.523833 3: 503.449 cents 503.449266 4: 714.636 cents 714.636397 5: 991.495 cents 991.495005 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 208.5050 cents 208.5050 1: 150.8162 cents 150.8162 2: 146.7076 cents 146.7076 3: 205.9254 cents 205.9254 4: 211.1871 cents 211.1871 5: 276.8586 cents 276.8586 6: 208.5050 cents 208.5050
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 146.70765 cents 1: 1 150.81618 cents 1: 1 205.92543 cents 1: 1 208.50500 cents 1: 1 211.18713 cents 1: 1 276.85861 cents 2: 1 297.52383 cents 2: 1 352.63308 cents 2: 1 359.32118 cents 2: 1 417.11256 cents 2: 1 485.36360 cents 2: 1 488.04574 cents 3: 1 503.44927 cents 3: 1 506.02883 cents 3: 1 563.82021 cents 3: 1 636.17979 cents 3: 1 693.97117 cents 3: 1 696.55073 cents 4: 1 711.95426 cents 4: 1 714.63640 cents 4: 1 782.88744 cents 4: 1 840.67882 cents 4: 1 847.36692 cents 4: 1 902.47617 cents 5: 1 923.14139 cents 5: 1 988.81287 cents 5: 1 991.49500 cents 5: 1 994.07457 cents 5: 1 1049.18382 cents 5: 1 1053.29235 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 : 150.8 297.5 503.4 714.6 991.5 1200.0 150.8 : 146.7 352.6 563.8 840.7 1049.2 1200.0 297.5 : 205.9 417.1 694.0 902.5 1053.3 1200.0 503.4 : 211.2 488.0 696.6 847.4 994.1 1200.0 714.6 : 276.9 485.4 636.2 782.9 988.8 1200.0 991.5 : 208.5 359.3 506.0 712.0 923.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 146.7076 .. 276.8586 cents 130.15096 cents 146.70765 cents 2: 297.5238 .. 488.0457 cents 190.52191 cents 20.66522 cents 3: 503.4493 .. 696.5507 cents 193.10147 cents 15.40353 cents 4: 711.9543 .. 902.4762 cents 190.52191 cents 15.40353 cents 5: 923.1414 .. 1053.2924 cents 130.15096 cents 20.66522 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 146.70765 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 276.85861 cents Average / Smallest step : 1.363255 Largest / Average step : 1.384293 Largest / Smallest step : 1.887145 Median interval of one step : 207.21521 cents, amount: 0 Least squares average step : 189.80475 cents, oct.: 1138.82850 cents Scale is strictly proper Step pattern alph. order: ABCDEF Step pattern size order : BACEFD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 15.40353 cents Scale diversity : 1.527680 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.304627 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 : 2.57956 cents Number of recognisable fifths : 4, average 704.2781 cents Number of appreciable fifths : 3, average 700.8254 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 0 1 1 1 1 2 N T3 SD: 124.3450 c. M: 191.4950 c. 7: 1 1 1 1 2 1 P M ME SD: 28.3095 c. M:-45.3333 c. 10: 1 1 2 2 2 2 P D3 S SD: 31.1694 c. M: 57.5238 c. 12: 2 1 2 2 3 2 P G D3 SD: 21.3059 c. M:-49.1838 c. Minor Hexatonic, Raga Manirangu, Nayaki, Palasi, Pushpalithika (Puspalatika), Suha Sughrai, Yo: Japan, Eskimo Hexatonic 1 (Alaska: King Island) 15: 2 2 2 3 3 3 P SD: 18.9741 c. M: 31.4950 c. 16: 2 2 3 3 3 3 SP D3 S SD: 18.2296 c. M:-35.3636 c. 17: 2 2 3 3 4 3 P SD: 9.1051 c. M: 15.1709 c. 24: 3 3 4 4 6 4 P SD: 7.1327 c. M: 14.6364 c. 33: 4 4 6 6 7 6 SP SD: 7.7206 c. M:-12.6363 c. 39: 5 5 6 7 9 7 P SD: 7.4416 c. M: 11.1416 c. 40: 5 5 7 7 9 7 SP SD: 3.6677 c. M:-6.5507 c. 57: 7 7 10 10 13 10 SP SD: 2.1741 c. M: 3.4478 c. 64: 8 8 11 11 15 11 SP SD: 2.0121 c. M:-2.8007 c. 81: 10 10 14 14 19 14 SP SD: 1.9288 c. M: 3.5253 c. 109: 14 13 19 19 25 19 SP SD: 1.8821 c. M:-3.3123 c. 121: 15 15 21 21 28 21 SP SD: 1.2965 c. M:-2.3359 c. 126: 16 15 22 22 29 22 SP SD: 1.3265 c. M: 2.2857 c. 181: 23 22 31 32 42 31 SP SD: 1.5511 c. M:-2.9801 c. 183: 23 22 32 32 42 32 SP SD: 1.2849 c. M: 2.4419 c. 190: 24 23 33 33 44 33 SP SD: 0.9355 c. M:-1.8139 c. 217: 27 27 37 38 50 38 SP SD: 1.1405 c. M: 1.6333 c. 222: 28 27 38 39 51 39 SP SD: 1.1160 c. M: 2.3058 c. 230: 29 28 39 41 53 40 SP SD: 1.0777 c. M: 2.5797 c. 238: 30 29 41 42 55 41 SP SD: 0.9756 c. M:-1.7823 c. 247: 31 30 43 43 57 43 SP SD: 0.9198 c. M:-1.8139 c. 253: 32 31 43 45 58 44 SP SD: 0.9623 c. M:-1.5691 c. 255: 32 31 44 45 59 44 SP SD: 0.7844 c. M:-1.4462 c. 265: 33 33 45 47 61 46 SP SD: 0.9227 c. M: 1.3822 c. 269: 34 33 46 47 62 47 SP SD: 0.9237 c. M:-1.3609 c. 270: 34 33 46 48 62 47 SP SD: 0.6645 c. M: 1.2270 c. 294: 37 36 50 52 68 51 SP SD: 0.6396 c. M: 1.4084 c. 317: 40 39 54 56 73 55 SP SD: 0.7606 c. M:-1.5298 c. 319: 40 39 55 56 74 55 SP SD: 0.7334 c. M:-1.6084 c. 326: 41 40 56 57 75 57 SP SD: 0.7216 c. M: 1.3110 c. 327: 41 40 56 58 75 57 SP SD: 0.5858 c. M:-0.9599 c. 334: 42 41 57 59 77 58 SP SD: 0.3657 c. M:-0.6798 c. 351: 44 43 60 62 81 61 SP SD: 0.3991 c. M: 0.8852 c. 391: 49 48 67 69 90 68 SP SD: 0.2813 c. M:-0.4531 c. 460: 58 56 79 81 106 80 SP SD: 0.2289 c. M:-0.4882 c. 517: 65 63 89 91 119 90 SP SD: 0.2754 c. M: 0.4252 c. 524: 66 64 90 92 121 91 SP SD: 0.2262 c. M:-0.3675 c. 541: 68 66 93 95 125 94 SP SD: 0.2061 c. M: 0.4035 c. 794: 100 97 136 140 183 138 SP SD: 0.1954 c. M:-0.3173 c. 811: 102 99 139 143 187 141 SP SD: 0.1714 c. M: 0.3667 c. 818: 103 100 140 144 189 142 SP SD: 0.2278 c. M:-0.2841 c. 851: 107 104 146 150 196 148 SP SD: 0.1443 c. M:-0.2872 c. 875: 110 107 150 154 202 152 SP SD: 0.0846 c. M: 0.1350 c. 932: 117 114 160 164 215 162 SP SD: 0.0894 c. M: 0.1724 c. 1266: 159 155 217 223 292 220 SP SD: 0.0852 c. M: 0.1317 c. 1392: 175 170 239 245 321 242 SP SD: 0.0683 c. M: 0.1157 c. 1456: 183 178 250 256 336 253 SP SD: 0.0590 c. M:-0.1222 c. 1726: 217 211 296 304 398 300 SP SD: 0.0629 c. M: 0.0889 c. 1790: 225 219 307 315 413 311 SP SD: 0.0543 c. M:-0.1298 c. 1807: 227 221 310 318 417 314 SP SD: 0.0538 c. M: 0.0819 c. 2267: 285 277 389 399 523 394 SP SD: 0.0412 c. M: 0.0527 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 6.3407 cents 3 x x 4 x 5:6 S SD: 35.7575 cents 4 x 5 x 6:7:8 S SD: 23.1278 cents 5 x 6:7:8:9:10 S SD: 26.1315 cents 6 x 7:8:9:11:12 SD: 13.3841 cents 7 x 8:9:11:12:14 SD: 26.1435 cents 8:9:10:11:12:14:16 S SD: 19.4855 cents 9:10:11:12:14:16:18 S SD: 12.9792 cents 10:11:12:13:15:18:20 SD: 10.2683 cents 12:13:14:16:18:21:24 S SD: 7.0581 cents 20:22:24:27:30:35:40 S SD: 6.3760 cents 21:23:25:28:32:37:42 SD: 3.4345 cents 32:35:38:43:48:57:64 SD: 2.9258 cents 43:47:51:58:65:76:86 SD: 2.6811 cents 44:48:52:59:66:78:88 SD: 2.6325 cents 47:51:56:63:71:83:94 SD: 2.2671 cents 53:58:63:71:80:94:106 SD: 1.0758 cents 80:87:95:107:121:142:160 SD: 1.0239 cents 100:109:119:134:151:177:200 SD: 1.0084 cents 101:110:120:135:153:179:202 SD: 0.9283 cents 118:129:140:158:178:209:236 SD: 0.9156 cents 119:130:141:159:180:211:238 SD: 0.8532 cents 122:133:145:163:184:216:244 SD: 0.8229 cents 133:145:158:178:201:236:266 SD: 0.3770 cents 186:203:221:249:281:330:372 SD: 0.3744 cents 198:216:235:265:299:351:396 SD: 0.3091 cents 219:239:260:293:331:388:438 SD: 0.2729 cents 299:326:355:400:452:530:598 SD: 0.2573 cents 309:337:367:413:467:548:618 SD: 0.2485 cents 331:361:393:443:500:587:662 SD: 0.2417 cents 352:384:418:471:532:624:704 SD: 0.1515 cents 427:466:507:571:645:757:854 SD: 0.1472 cents 507:553:602:678:766:899:1014 SD: 0.1040 cents 560:611:665:749:846:993:1120 SD: 0.0659 cents