Scala analysis: CD10_01_Egypt
Nous nous prosternons / Salut à Marie / Alléluia - Mîkhâ'îl Jirjis al-Batânûnî (unknown maqam, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 100.086 cents 100.086149 2: 332.715 cents 332.714607 3: 381.688 cents 381.688185 4: 533.171 cents 533.170709 5: 829.005 cents 829.005304 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 370.9947 cents 370.9947 1: 100.0861 cents 100.0861 2: 232.6285 cents 232.6285 3: 48.9736 cents 48.9736 4: 151.4825 cents 151.4825 5: 295.8346 cents 295.8346 6: 370.9947 cents 370.9947
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 48.97358 cents 1: 1 100.08615 cents 1: 1 151.48252 cents 1: 1 232.62846 cents 1: 1 295.83460 cents 1: 1 370.99470 cents 2: 1 200.45610 cents 2: 1 281.60204 cents 2: 1 332.71461 cents 2: 1 447.31712 cents 2: 1 471.08084 cents 2: 1 666.82929 cents 3: 1 381.68819 cents 3: 1 433.08456 cents 3: 1 496.29070 cents 3: 1 703.70930 cents 3: 1 766.91544 cents 3: 1 818.31181 cents 4: 1 533.17071 cents 4: 1 728.91916 cents 4: 1 752.68288 cents 4: 1 867.28539 cents 4: 1 918.39796 cents 4: 1 999.54390 cents 5: 1 829.00530 cents 5: 1 904.16540 cents 5: 1 967.37154 cents 5: 1 1048.51748 cents 5: 1 1099.91385 cents 5: 1 1151.02642 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 : 100.1 332.7 381.7 533.2 829.0 1200.0 100.1 : 232.6 281.6 433.1 728.9 1099.9 1200.0 332.7 : 49.0 200.5 496.3 867.3 967.4 1200.0 381.7 : 151.5 447.3 818.3 918.4 1151.0 1200.0 533.2 : 295.8 666.8 766.9 999.5 1048.5 1200.0 829.0 : 371.0 471.1 703.7 752.7 904.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 48.9736 .. 370.9947 cents 322.02112 cents 48.97358 cents 2: 200.4561 .. 666.8293 cents 466.37319 cents -170.53859 cents 3: 381.6882 .. 818.3118 cents 436.62363 cents -285.14111 cents 4: 533.1707 .. 999.5439 cents 466.37319 cents -285.14111 cents 5: 829.0053 .. 1151.0264 cents 322.02112 cents -170.53859 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 48.97358 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 370.99470 cents Average / Smallest step : 4.083835 Largest / Average step : 1.854973 Largest / Smallest step : 7.575405 Median interval of one step : 192.05549 cents, amount: 0 Least squares average step : 169.10208 cents, oct.: 1014.61248 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : BDACEF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 10.69349 cents Scale diversity : 1.756060 Lumma stability : 0.081623 Lumma impropriety factor : 0.648084 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 : 10.69349 cents Number of recognisable fifths : 1, average 703.7093 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 1 0 1 1 2 N D3 SD: 57.9553 c. M:-99.9139 c. 7: 1 1 0 1 2 2 N SD: 36.1682 c. M:-71.3424 c. 9: 1 1 1 1 2 3 N SD: 33.2775 c. M: 66.0479 c. 10: 1 2 0 1 3 3 N G SD: 27.5664 c. M: 53.1707 c. 11: 1 2 1 1 3 3 N SD: 29.3332 c. M:-54.6755 c. 12: 1 2 1 1 3 4 N SD: 23.6191 c. M: 33.1707 c. 13: 1 3 0 2 3 4 N SD: 18.1646 c. M:-36.5162 c. 15: 1 3 1 2 3 5 N SD: 20.2549 c. M: 29.0053 c. 16: 1 3 1 2 4 5 N SD: 17.4504 c. M: 32.7146 c. 20: 2 4 0 3 5 6 N SD: 17.2190 c. M:-27.2854 c. 22: 2 4 1 3 5 7 N SD: 7.9452 c. M:-12.2838 c. 25: 2 5 1 3 6 8 N SD: 6.1740 c. M: 13.0053 c. 40: 3 8 2 5 10 12 N SD: 7.5907 c. M:-10.9947 c. 41: 3 8 2 5 10 13 N SD: 8.1492 c. M: 12.2813 c. 43: 4 8 2 5 11 13 N SD: 7.0122 c. M:-11.5418 c. 45: 4 8 2 6 11 14 N SD: 6.8345 c. M: 12.7146 c. 46: 4 9 2 6 11 14 N SD: 8.1645 c. M:-14.6554 c. 47: 4 9 2 6 11 15 N SD: 5.1492 c. M: 11.9840 c. 48: 4 9 2 6 12 15 N SD: 5.5836 c. M: 8.1707 c. 50: 4 10 2 6 13 15 N SD: 5.4841 c. M:-10.9947 c. 56: 5 11 2 7 14 17 N SD: 6.0602 c. M:-10.1425 c. 57: 5 11 2 7 14 18 N SD: 5.1895 c. M: 7.9527 c. 58: 5 11 2 8 14 18 N SD: 4.5610 c. M: 9.2744 c. 59: 5 11 3 7 15 18 N SD: 4.4955 c. M: 7.2909 c. 61: 5 12 2 8 15 19 N SD: 3.6605 c. M: 7.9177 c. 68: 6 13 3 8 17 21 N SD: 4.0293 c. M:-6.5471 c. 69: 6 13 3 9 17 21 N SD: 3.9392 c. M:-5.9597 c. 72: 6 14 3 9 18 22 N SD: 1.9085 c. M:-4.3280 c. 94: 8 18 4 12 23 29 N SD: 1.6371 c. M:-2.9995 c. 97: 8 19 4 12 24 30 N SD: 1.1360 c. M:-1.8170 c. 155: 13 30 6 20 38 48 N SD: 1.0970 c. M: 2.3333 c. 169: 14 33 7 21 42 52 N SD: 1.1569 c. M:-1.7639 c. 191: 16 37 8 24 47 59 N SD: 0.7671 c. M:-1.5579 c. 227: 19 44 9 29 56 70 N SD: 0.6887 c. M: 1.0714 c. 252: 21 49 10 32 62 78 N SD: 0.4371 c. M: 0.7358 c. 324: 27 63 13 41 80 100 N SD: 0.3762 c. M:-0.6243 c. 443: 37 86 18 56 109 137 N SD: 0.2972 c. M:-0.4682 c. 563: 47 109 23 71 139 174 N SD: 0.1782 c. M: 0.3110 c. 682: 57 132 28 86 168 211 N SD: 0.1625 c. M: 0.2663 c. 754: 63 146 31 95 186 233 N SD: 0.1556 c. M:-0.2747 c. 909: 76 176 37 115 224 281 N SD: 0.1402 c. M:-0.2439 c. 1006: 84 195 41 127 248 311 N SD: 0.0610 c. M:-0.1127 c. 1569: 131 304 64 198 387 485 N SD: 0.0648 c. M:-0.1051 c. 2280: 190 442 93 288 562 705 N SD: 0.0704 c. M: 0.1092 c. 2352: 196 456 96 297 580 727 N SD: 0.0580 c. M: 0.0861 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x x 3:4 S SD: 63.5252 cents 3 x x x 4:5:6 S SD: 21.8526 cents 4 x x 5 x 6:8 S SD: 42.3782 cents 5 x 6 x 7:8:10 S SD: 13.6032 cents 6 x 7 x 8:10:12 S SD: 23.2288 cents 7 x 8:9:10:11:14 SD: 29.9563 cents 8:9 x 10:11:13:16 SD: 21.2253 cents 9:10:11 x 12:15:18 S SD: 21.2508 cents 10:11:12 x 14:16:20 S SD: 16.9412 cents 11:12:13:14:15:18:22 SD: 13.2306 cents 12:13 x 15:16:19:24 SD: 12.4180 cents 13:14 x 16:18:21:26 SD: 9.3889 cents 14:15:17 x 19:23:28 SD: 7.3027 cents 16:17:19:20:22:26:32 SD: 6.9649 cents 17:18 x 21:23:27:34 SD: 6.7508 cents 18:19:22 x 24:29:36 SD: 7.7534 cents 19:20:23:24:26:31:38 SD: 5.4993 cents 20:21:24:25:27:32:40 SD: 5.2095 cents 22:23:27 x 30:36:44 SD: 7.9555 cents 23:24:28:29:31:37:46 SD: 6.3419 cents 24:25:29:30:33:39:48 SD: 6.1792 cents 26:28 x 32:35:42:52 SD: 8.0881 cents 27:29:33:34:37:44:54 SD: 6.4527 cents 28:30:34:35:38:45:56 SD: 3.6732 cents 33:35:40:41:45:53:66 SD: 1.8955 cents 52:55:63:65:71:84:104 SD: 1.3752 cents 80:85:97:100:109:129:160 SD: 1.2330 cents 81:86:98:101:110:131:162 SD: 1.0996 cents 85:90:103:106:116:137:170 SD: 0.9854 cents 114:121:138:142:155:184:228 SD: 0.6901 cents 117:124:142:146:159:189:234 SD: 0.6599 cents 133:141:161:166:181:215:266 SD: 0.6509 cents 150:159:182:187:204:242:300 SD: 0.4240 cents 166:176:201:207:226:268:332 SD: 0.3694 cents 202:214:245:252:275:326:404 SD: 0.3498 cents 236:250:286:294:321:381:472 SD: 0.2418 cents 288:305:349:359:392:465:576 SD: 0.1799 cents 402:426:487:501:547:649:804 SD: 0.1545 cents 438:464:531:546:596:707:876 SD: 0.1154 cents 552:585:669:688:751:891:1104 SD: 0.1062 cents