Scala analysis: CD04_13_rast_Egypt
Fais le tour de l'assemblée avec la coupe de vin - Dâwûd Khudr Husnî (rast, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 212.114 cents 212.114471 2: 350.816 cents 350.815864 3: 501.503 cents 501.503085 4: 706.078 cents 706.078124 5: 854.221 cents 854.221287 6: 1012.463 cents 1012.462864 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 187.5371 cents 187.5371 1: 212.1145 cents 212.1145 2: 138.7014 cents 138.7014 3: 150.6872 cents 150.6872 4: 204.5750 cents 204.5750 5: 148.1432 cents 148.1432 6: 158.2416 cents 158.2416 7: 187.5371 cents 187.5371
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 138.70139 cents 1: 1 148.14316 cents 1: 1 150.68722 cents 1: 1 158.24158 cents 1: 1 187.53714 cents 1: 1 204.57504 cents 1: 1 212.11447 cents 2: 1 289.38861 cents 2: 1 306.38474 cents 2: 1 345.77871 cents 2: 1 350.81586 cents 2: 1 352.71820 cents 2: 1 355.26226 cents 2: 1 399.65161 cents 3: 1 493.92188 cents 3: 1 493.96365 cents 3: 1 501.50309 cents 3: 1 503.40542 cents 3: 1 510.95978 cents 3: 1 538.35300 cents 3: 1 557.89318 cents 4: 1 642.10682 cents 4: 1 661.64700 cents 4: 1 689.04022 cents 4: 1 696.59458 cents 4: 1 698.49691 cents 4: 1 706.03635 cents 4: 1 706.07812 cents 5: 1 800.34839 cents 5: 1 844.73774 cents 5: 1 847.28180 cents 5: 1 849.18414 cents 5: 1 854.22129 cents 5: 1 893.61526 cents 5: 1 910.61139 cents 6: 1 987.88553 cents 6: 1 995.42496 cents 6: 1 1012.46286 cents 6: 1 1041.75842 cents 6: 1 1049.31278 cents 6: 1 1051.85684 cents 6: 1 1061.29861 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 : 212.1 350.8 501.5 706.1 854.2 1012.5 1200.0 212.1 : 138.7 289.4 494.0 642.1 800.3 987.9 1200.0 350.8 : 150.7 355.3 503.4 661.6 849.2 1061.3 1200.0 501.5 : 204.6 352.7 511.0 698.5 910.6 1049.3 1200.0 706.1 : 148.1 306.4 493.9 706.0 844.7 995.4 1200.0 854.2 : 158.2 345.8 557.9 696.6 847.3 1051.9 1200.0 1012.5: 187.5 399.7 538.4 689.0 893.6 1041.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 138.7014 .. 212.1145 cents 73.41308 cents 138.70139 cents 2: 289.3886 .. 399.6516 cents 110.26299 cents 77.27414 cents 3: 493.9219 .. 557.8932 cents 63.97131 cents 94.27027 cents 4: 642.1068 .. 706.0781 cents 63.97131 cents 84.21363 cents 5: 800.3484 .. 910.6114 cents 110.26299 cents 94.27027 cents 6: 987.8855 .. 1061.2986 cents 73.41308 cents 77.27414 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 138.70139 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 212.11447 cents Average / Smallest step : 1.235954 Largest / Average step : 1.237334 Largest / Smallest step : 1.529289 Median interval of one step : 158.24158 cents, amount: 1 Least squares average step : 171.34608 cents, oct.: 1199.42258 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : GACFBDE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 77.27414 cents Scale diversity : 1.435250 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.587254 Rothenberg efficiency : 0.285714 redundancy: 0.714286 Efficiency x scale size : 2.000000 Number of different interval sizes : 42 = 7.00000 / 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 : 0.04178 cents Number of recognisable fifths : 5, average 699.2492 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 19.1415 c. M: 40.6859 c. Lebeng 13: 2 2 1 3 1 2 2 P D3 I SD: 24.7839 c. M: 39.9646 c. Diatronic 17: 3 2 2 3 2 2 3 SP D3 I SD: 9.9821 c. M: 24.2276 c. Safi al-Din's maqam Rast 21: 4 2 3 3 3 3 3 SP T3 SD: 12.9850 c. M: 20.3638 c. 24: 4 3 3 4 3 3 4 SP D3 I SD: 7.1691 c. M: 12.4629 c. Miha'il Musaqa's mode: Egypt, Neutral Diatonic Hypodorian, Dastgah-e Sehgah, Maqam Nairuz 34: 6 4 4 6 4 5 5 SP SD: 5.7693 c. M:-11.0665 c. 44: 8 5 5 8 5 6 7 SP SD: 6.0975 c. M: 10.5940 c. 45: 8 5 6 7 6 6 7 SP SD: 5.4686 c. M: 12.7448 c. 50: 9 6 6 8 7 6 8 SP SD: 6.7906 c. M: 10.0781 c. 51: 9 6 6 9 6 7 8 SP SD: 3.9823 c. M: 7.3854 c. 58: 10 7 7 10 7 8 9 SP SD: 3.7149 c. M: 5.9454 c. 69: 12 8 9 12 8 9 11 SP SD: 3.6959 c. M:-6.9654 c. 75: 13 9 9 13 9 10 12 SP SD: 3.9920 c. M: 6.2213 c. 76: 13 9 10 13 9 10 12 SP SD: 3.7612 c. M: 6.8513 c. 78: 14 9 10 13 10 10 12 SP SD: 4.1895 c. M:-7.3172 c. 79: 14 9 10 13 10 11 12 SP SD: 3.7209 c. M: 7.3439 c. 83: 15 9 11 14 10 11 13 SP SD: 3.0441 c. M:-4.7530 c. 90: 16 10 12 15 11 12 14 SP SD: 2.5983 c. M:-5.1636 c. 95: 17 11 12 16 12 12 15 SP SD: 2.8534 c. M:-4.7261 c. 98: 17 12 12 17 12 13 15 SP SD: 3.2680 c. M:-4.2862 c. 100: 18 11 13 17 12 13 16 SP SD: 2.8737 c. M: 4.4629 c. 102: 18 12 13 17 13 13 16 SP SD: 2.5502 c. M:-4.6022 c. 103: 18 12 13 18 12 14 16 SP SD: 2.5120 c. M:-4.6015 c. 107: 19 12 14 18 13 14 17 SP SD: 2.2171 c. M:-3.1698 c. 122: 22 14 15 21 15 16 19 SP SD: 2.2777 c. M:-4.2790 c. 124: 22 14 16 21 15 17 19 SP SD: 2.0658 c. M:-3.6662 c. 129: 23 15 16 22 16 17 20 SP SD: 1.5477 c. M:-2.6725 c. 136: 24 16 17 23 17 18 21 SP SD: 1.4410 c. M:-2.2430 c. 141: 25 16 18 24 17 19 22 SP SD: 1.4394 c. M: 3.1575 c. 146: 26 17 18 25 18 19 23 SP SD: 1.3373 c. M:-2.6088 c. 153: 27 18 19 26 19 20 24 SP SD: 0.9132 c. M:-2.1253 c. 160: 28 19 20 27 20 21 25 SP SD: 1.1995 c. M: 2.1145 c. 185: 33 21 23 32 23 24 29 SP SD: 1.3858 c. M: 2.0436 c. 187: 33 22 23 32 23 25 29 SP SD: 1.0854 c. M:-2.1253 c. 192: 34 22 24 33 24 25 30 SP SD: 1.0156 c. M:-2.0287 c. 194: 34 23 24 33 24 26 30 SP SD: 1.2925 c. M:-1.9701 c. 199: 35 23 25 34 25 26 31 SP SD: 1.0805 c. M:-2.0601 c. 211: 37 25 26 36 26 28 33 SP SD: 1.1454 c. M:-1.7908 c. 216: 38 25 27 37 27 28 34 SP SD: 1.0564 c. M: 1.5031 c. 236: 42 27 30 40 29 31 37 SP SD: 0.9635 c. M:-1.8867 c. 243: 43 28 31 41 30 32 38 SP SD: 0.8425 c. M:-2.2006 c. 270: 48 31 34 46 33 36 42 SP SD: 0.7543 c. M:-1.2189 c. 277: 49 32 35 47 34 37 43 SP SD: 0.6854 c. M:-1.2555 c. 294: 52 34 37 50 36 39 46 SP SD: 0.4990 c. M: 1.1601 c. 301: 53 35 38 51 37 40 47 SP SD: 0.6202 c. M: 1.0651 c. 333: 59 38 42 57 41 44 52 SP SD: 0.5753 c. M: 1.2663 c. 357: 63 41 45 61 44 47 56 SP SD: 0.6334 c. M: 1.2360 c. 386: 68 45 48 66 48 51 60 SP SD: 0.6932 c. M:-1.0086 c. 396: 70 46 49 68 49 52 62 SP SD: 0.6514 c. M: 1.5031 c. 403: 71 47 50 69 50 53 63 SP SD: 0.6145 c. M: 1.2549 c. 423: 75 49 53 72 52 56 66 SP SD: 0.5370 c. M:-0.9572 c. 430: 76 50 54 73 53 57 67 SP SD: 0.4961 c. M:-0.8225 c. 435: 77 50 55 74 54 57 68 SP SD: 0.4714 c. M:-0.9511 c. 447: 79 52 56 76 55 59 70 SP SD: 0.4525 c. M:-0.8620 c. 454: 80 53 57 77 56 60 71 SP SD: 0.5099 c. M:-0.7260 c. 459: 81 53 58 78 57 60 72 SP SD: 0.4721 c. M: 0.6982 c. 462: 82 53 58 79 57 61 72 SP SD: 0.4445 c. M:-0.8725 c. 469: 83 54 59 80 58 62 73 SP SD: 0.3503 c. M:-0.7568 c. 486: 86 56 61 83 60 64 76 SP SD: 0.1680 c. M: 0.2685 c. 787: 139 91 99 134 97 104 123 SP SD: 0.1672 c. M: 0.3458 c. 916: 162 106 115 156 113 121 143 SP SD: 0.1669 c. M:-0.2758 c. 940: 166 109 118 160 116 124 147 SP SD: 0.1701 c. M:-0.2480 c. 979: 173 113 123 167 121 129 153 SP SD: 0.1288 c. M: 0.2541 c. 1108: 196 128 139 189 137 146 173 SP SD: 0.1487 c. M:-0.2913 c. 1125: 199 130 141 192 139 148 176 SP SD: 0.1410 c. M: 0.1962 c. 1132: 200 131 142 193 140 149 177 SP SD: 0.1036 c. M:-0.1957 c. 1273: 225 147 160 217 157 168 199 SP SD: 0.0900 c. M: 0.1757 c. 1402: 248 162 176 239 173 185 219 SP SD: 0.0861 c. M:-0.1537 c. 1426: 252 165 179 243 176 188 223 SP SD: 0.0730 c. M: 0.1206 c. 1895: 335 219 238 323 234 250 296 SP SD: 0.0403 c. M:-0.0965 c. 2381: 421 275 299 406 294 314 372 SP SD: 0.0406 c. M:-0.0653 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x 4 S SD: 2.0616 cents 3 x x 4 x 5 x 6 S SD: 10.1117 cents 4 x 5 x 6 x 7:8 S SD: 14.1007 cents 5 x 6:7 x 8:9:10 S SD: 19.4619 cents 6:7 x 8:9:10:11:12 S SD: 12.1302 cents 7:8 x 9 x 11:13:14 SD: 23.1768 cents 8:9:10:11:12:13:14:16 S SD: 10.9894 cents 9:10:11:12:14:15:16:18 S SD: 10.6374 cents 13:15:16:17:20:21:23:26 SD: 10.5761 cents 14:16:17:19:21:23:25:28 SD: 5.4159 cents 22:25:27:29:33:36:39:44 SD: 4.7638 cents 24:27:29:32:36:39:43:48 SD: 4.1160 cents 30:34:37:40:45:49:54:60 SD: 2.2584 cents 39:44:48:52:59:64:70:78 SD: 2.1244 cents 44:50:54:59:66:72:79:88 SD: 1.8015 cents 53:60:65:71:80:87:95:106 SD: 1.4267 cents 63:71:77:84:95:103:113:126 SD: 1.3263 cents 75:85:92:100:113:123:135:150 SD: 1.3172 cents 77:87:94:103:116:126:138:154 SD: 1.0543 cents 93:105:114:124:140:152:167:186 SD: 0.8773 cents 107:121:131:143:161:175:192:214 SD: 0.4332 cents 161:182:197:215:242:264:289:322 SD: 0.3767 cents 191:216:234:255:287:313:343:382 SD: 0.3452 cents 223:252:273:298:335:365:400:446 SD: 0.3309 cents 254:287:311:339:382:416:456:508 SD: 0.2901 cents 262:296:321:350:394:429:470:524 SD: 0.2186 cents 268:303:328:358:403:439:481:536 SD: 0.1689 cents 423:478:518:565:636:693:759:846 SD: 0.1180 cents 467:528:572:624:702:765:838:934 SD: 0.1112 cents 530:599:649:708:797:868:951:1060 SD: 0.0783 cents