Scala analysis: CD10_12_Egypt
Et av inhié Askhâ'î / Tok Tatigon / Hen e'i Frân - 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: 216.849 cents 216.849072 2: 489.317 cents 489.316965 3: 698.175 cents 698.174871 4: 867.540 cents 867.539976 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 332.4600 cents 332.4600 1: 216.8491 cents 216.8491 2: 272.4679 cents 272.4679 3: 208.8579 cents 208.8579 4: 169.3651 cents 169.3651 5: 332.4600 cents 332.4600
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 169.36511 cents 1: 1 208.85791 cents 1: 1 216.84907 cents 1: 1 272.46789 cents 1: 1 332.46002 cents 2: 1 378.22301 cents 2: 1 481.32580 cents 2: 1 489.31696 cents 2: 1 501.82513 cents 2: 1 549.30910 cents 3: 1 650.69090 cents 3: 1 698.17487 cents 3: 1 710.68304 cents 3: 1 718.67420 cents 3: 1 821.77699 cents 4: 1 867.53998 cents 4: 1 927.53211 cents 4: 1 983.15093 cents 4: 1 991.14209 cents 4: 1 1030.63490 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 5.00000 = 5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 216.8 489.3 698.2 867.5 1200.0 216.8 : 272.5 481.3 650.7 983.2 1200.0 489.3 : 208.9 378.2 710.7 927.5 1200.0 698.2 : 169.4 501.8 718.7 991.1 1200.0 867.5 : 332.5 549.3 821.8 1030.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 169.3651 .. 332.4600 cents 163.09492 cents 169.36511 cents 2: 378.2230 .. 549.3091 cents 171.08608 cents 45.76299 cents 3: 650.6909 .. 821.7770 cents 171.08608 cents 101.38181 cents 4: 867.5400 .. 1030.6349 cents 163.09492 cents 45.76299 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 169.36511 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 332.46002 cents Average / Smallest step : 1.417057 Largest / Average step : 1.385250 Largest / Smallest step : 1.962978 Median interval of one step : 216.84907 cents, amount: 1 Least squares average step : 232.00305 cents, oct.: 1160.01523 cents Scale is strictly proper Step pattern alph. order: ABCDE Step pattern size order : CDBAE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 45.76299 cents Scale diversity : 1.572143 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.443032 Rothenberg efficiency : 0.400000 redundancy: 0.600000 Efficiency x scale size : 2.000000 Number of different interval sizes : 20 = 5.00000 / class Number of one step interval sizes : 5 Highest interval variety : 5 Mean interval variety : 5.00000 = 5 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 7.99117 cents Number of recognisable fifths : 3, average 709.1774 cents Number of appreciable fifths : 2, average 704.4290 cents Best fifths form a closed circle Formal octave complements present : 1 = 20.0000% -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 43.9271 c. M:-92.4600 c. 7: 1 2 1 1 2 P M ME S SD: 24.2892 c. M: 45.4205 c. Thai mode 5 10: 2 2 2 1 3 P T3 SD: 19.2746 c. M: 27.5400 c. 12: 2 3 2 2 3 SP M ME S SD: 17.0587 c. M:-32.4600 c. Scottish Pentatonic, Blues Major, Ritusen, Ritsu (Gagaku): Japan, Zhi, Zheng: China, Ujo, P'yongjo: Korea, Bac: Vietnam, Lai Soutsanaen, Lai Po Sai, Lai Soi: Laos, Raga Arabhi, Devakriya, Durga, Jaldhar Kedar, Suddha Saveri, Major complement 15: 3 3 3 2 4 SP T3 SD: 15.8389 c. M:-23.1509 c. 17: 3 4 3 2 5 P SD: 10.2740 c. M: 20.4812 c. 22: 4 5 4 3 6 SP SD: 5.4841 c. M:-10.9160 c. 29: 5 7 5 4 8 SP SD: 6.0206 c. M: 9.9525 c. 39: 7 9 7 5 11 SP SD: 5.2476 c. M:-9.5174 c. 40: 7 9 7 6 11 SP SD: 6.4280 c. M: 9.3170 c. 46: 8 11 8 6 13 SP SD: 6.1516 c. M: 8.1534 c. 50: 9 11 9 7 14 SP SD: 4.5780 c. M: 9.3170 c. 51: 9 12 9 7 14 SP SD: 4.8496 c. M:-7.7075 c. 54: 10 12 9 8 15 SP SD: 4.8176 c. M: 9.2860 c. 55: 10 12 10 8 15 SP SD: 4.8060 c. M: 9.3170 c. 57: 10 13 10 8 16 SP SD: 4.4063 c. M: 6.3228 c. 62: 11 14 11 9 17 SP SD: 3.4334 c. M: 5.4460 c. 72: 13 16 13 10 20 SP SD: 2.8260 c. M: 5.9836 c. 76: 14 17 13 11 21 SP SD: 2.4613 c. M:-4.2036 c. 79: 14 18 14 11 22 SP SD: 2.5032 c. M: 4.1908 c. 83: 15 19 14 12 23 SP SD: 2.1305 c. M: 4.1990 c. 84: 15 19 15 12 23 SP SD: 2.7569 c. M:-3.8886 c. 93: 17 21 16 13 26 SP SD: 1.9181 c. M: 3.0238 c. 98: 18 22 17 14 27 SP SD: 1.8087 c. M:-3.5591 c. 101: 18 23 18 14 28 SP SD: 2.0826 c. M: 2.9877 c. 105: 19 24 18 15 29 SP SD: 1.1553 c. M:-2.1116 c. 127: 23 29 22 18 35 SP SD: 1.3004 c. M:-2.0216 c. 155: 28 35 27 22 43 SP SD: 0.9638 c. M: 1.5750 c. 177: 32 40 31 25 49 SP SD: 0.5456 c. M: 1.1814 c. 260: 47 59 45 37 72 SP SD: 0.5662 c. M: 1.2518 c. 270: 49 61 47 38 75 SP SD: 0.6271 c. M:-0.9287 c. 277: 50 63 48 39 77 SP SD: 0.6063 c. M: 1.1140 c. 282: 51 64 49 40 78 SP SD: 0.2899 c. M:-0.5451 c. 454: 82 103 79 64 126 SP SD: 0.3462 c. M: 0.5796 c. 459: 83 104 80 65 127 SP SD: 0.2866 c. M:-0.4339 c. 476: 86 108 83 67 132 SP SD: 0.1892 c. M: 0.3131 c. 581: 105 132 101 82 161 SP SD: 0.0935 c. M:-0.1839 c. 758: 137 172 132 107 210 SP SD: 0.0634 c. M: 0.1349 c. 1339: 242 304 233 189 371 SP SD: 0.0259 c. M: 0.0419 c.
FIT/HARMONIC
1 x x x x 2 S SD: 0.0000 cents 2 x x 3 x 4 S SD: 1.8901 cents 3 x 4 x 5:6 S SD: 6.3162 cents 4 x 5:6:7:8 S SD: 36.1272 cents 5:6:7 x 8:10 S SD: 36.5252 cents 6:7:8:9:10:12 S SD: 10.7248 cents 14:16:19:21:23:28 SD: 8.5673 cents 15:17:20:22:25:30 SD: 7.9822 cents 16:18:21:24:26:32 SD: 7.0851 cents 21:24:28:31:35:42 SD: 6.7422 cents 22:25:29:33:36:44 SD: 3.8982 cents 28:32:37:42:46:56 SD: 3.6397 cents 31:35:41:46:51:62 SD: 3.6258 cents 36:41:48:54:59:72 SD: 3.5223 cents 37:42:49:55:61:74 SD: 2.5382 cents 46:52:61:69:76:92 SD: 1.2457 cents 52:59:69:78:86:104 SD: 1.0874 cents 83:94:110:124:137:166 SD: 0.7769 cents 89:101:118:133:147:178 SD: 0.7576 cents 129:146:171:193:213:258 SD: 0.6059 cents 135:153:179:202:223:270 SD: 0.3446 cents 217:246:288:325:358:434 SD: 0.3198 cents 254:288:337:380:419:508 SD: 0.2845 cents 278:315:369:416:459:556 SD: 0.2516 cents 300:340:398:449:495:600 SD: 0.1219 cents 352:399:467:527:581:704 SD: 0.1048 cents 435:493:577:651:718:870 SD: 0.0724 cents