Scala analysis: CD10_08_Egypt
Eprushte - 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: 65.736 cents 65.735549 2: 596.982 cents 596.982107 3: 745.567 cents 745.566833 4: 904.468 cents 904.467575 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 295.5324 cents 295.5324 1: 65.7355 cents 65.7355 2: 531.2466 cents 531.2466 3: 148.5847 cents 148.5847 4: 158.9007 cents 158.9007 5: 295.5324 cents 295.5324
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 65.73555 cents 1: 1 148.58473 cents 1: 1 158.90074 cents 1: 1 295.53242 cents 1: 1 531.24656 cents 2: 1 307.48547 cents 2: 1 361.26797 cents 2: 1 454.43317 cents 2: 1 596.98211 cents 2: 1 679.83128 cents 3: 1 520.16872 cents 3: 1 603.01789 cents 3: 1 745.56683 cents 3: 1 838.73203 cents 3: 1 892.51453 cents 4: 1 668.75344 cents 4: 1 904.46758 cents 4: 1 1041.09926 cents 4: 1 1051.41527 cents 4: 1 1134.26445 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 : 65.7 597.0 745.6 904.5 1200.0 65.7 : 531.2 679.8 838.7 1134.3 1200.0 597.0 : 148.6 307.5 603.0 668.8 1200.0 745.6 : 158.9 454.4 520.2 1051.4 1200.0 904.5 : 295.5 361.3 892.5 1041.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 65.7355 .. 531.2466 cents 465.51101 cents 65.73555 cents 2: 307.4855 .. 679.8313 cents 372.34582 cents -223.76109 cents 3: 520.1687 .. 892.5145 cents 372.34582 cents -159.66257 cents 4: 668.7534 .. 1134.2645 cents 465.51101 cents -223.76109 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 65.73555 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 531.24656 cents Average / Smallest step : 3.650993 Largest / Average step : 2.213527 Largest / Smallest step : 8.081572 Median interval of one step : 158.90074 cents, amount: 1 Least squares average step : 238.44128 cents, oct.: 1192.20641 cents Scale is not proper Step pattern alph. order: ABCDE Step pattern size order : AEBCD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 6.03579 cents Scale diversity : 1.651574 Lumma stability : 0.109559 Lumma impropriety factor : 0.487524 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 : 6.03579 cents Number of recognisable fifths : 0 Formal octave complements present : 1 = 20.0000% -- Rational properties --
FIT/MODE
5: 0 2 1 1 1 N T3 SD: 65.9447 c. M: 116.9821 c. 6: 0 3 1 1 1 N SD: 57.3056 c. M:-95.5324 c. 7: 0 3 1 1 2 N G SD: 58.2783 c. M: 82.6964 c. 8: 0 4 1 1 2 N SD: 29.5631 c. M: 65.7355 c. 11: 1 4 2 1 3 N SD: 34.2600 c. M: 51.5276 c. 12: 1 5 1 2 3 N SD: 25.6104 c. M: 45.5668 c. 13: 1 5 2 2 3 N SD: 24.3458 c. M: 43.1360 c. 14: 1 6 2 2 3 N SD: 22.5869 c. M:-38.3896 c. 15: 1 6 2 2 4 N SD: 23.7633 c. M: 36.9821 c. 16: 1 7 2 2 4 N SD: 5.1875 c. M:-9.2645 c. 40: 2 18 5 5 10 N SD: 4.0402 c. M: 5.7355 c. 50: 3 22 6 7 12 N SD: 4.6377 c. M:-7.5324 c. 52: 3 23 6 7 13 N SD: 4.2841 c. M: 7.1053 c. 53: 3 23 7 7 13 N SD: 3.9426 c. M: 8.3029 c. 56: 3 25 7 7 14 N SD: 3.1882 c. M: 4.4676 c. 72: 4 32 9 9 18 N SD: 3.1492 c. M: 4.4676 c. 73: 4 32 9 10 18 N SD: 3.5013 c. M: 5.8408 c. 74: 4 33 9 10 18 N SD: 2.1570 c. M:-3.6405 c. 90: 5 40 11 12 22 N SD: 1.7900 c. M:-3.0179 c. 105: 6 46 13 14 26 N SD: 2.2472 c. M:-2.8359 c. 106: 6 47 13 14 26 N SD: 1.8916 c. M:-3.0179 c. 113: 6 50 14 15 28 N SD: 1.8693 c. M: 2.2918 c. 126: 7 56 15 17 31 N SD: 1.8657 c. M:-3.0179 c. 127: 7 56 16 17 31 N SD: 1.4648 c. M:-2.6190 c. 129: 7 57 16 17 32 N SD: 1.3817 c. M: 2.1420 c. 143: 8 63 18 19 35 N SD: 1.2907 c. M:-1.8261 c. 145: 8 64 18 19 36 N SD: 1.2471 c. M: 2.3986 c. 163: 9 72 20 22 40 N SD: 1.0823 c. M: 2.0086 c. 167: 9 74 21 22 41 N SD: 1.0331 c. M:-1.7386 c. 179: 10 79 22 24 44 N SD: 0.9141 c. M: 1.4328 c. 187: 10 83 23 25 46 N SD: 0.8944 c. M: 1.5644 c. 203: 11 90 25 27 50 N SD: 0.4598 c. M: 0.7392 c. 219: 12 97 27 29 54 N SD: 0.2594 c. M: 0.3614 c. 565: 31 250 70 75 139 N SD: 0.1688 c. M:-0.3112 c. 581: 32 257 72 77 143 N SD: 0.1835 c. M:-0.3574 c. 605: 33 268 75 80 149 N SD: 0.1603 c. M: 0.2810 c. 768: 42 340 95 102 189 N SD: 0.1654 c. M: 0.2543 c. 784: 43 347 97 104 193 N SD: 0.0990 c. M: 0.1587 c. 1003: 55 444 124 133 247 N SD: 0.0967 c. M: 0.2029 c. 1043: 57 462 129 138 257 N SD: 0.1169 c. M: 0.1555 c. 1170: 64 518 145 155 288 N SD: 0.0892 c. M:-0.1478 c. 1186: 65 525 147 157 292 N SD: 0.0726 c. M:-0.1330 c. 1389: 76 615 172 184 342 N SD: 0.0460 c. M: 0.0768 c. 1405: 77 622 174 186 346 N SD: 0.0319 c. M:-0.0559 c. 2189: 120 969 271 290 539 N SD: 0.0340 c. M:-0.0550 c.
FIT/HARMONIC
1 x x x x 2 S SD: 0.0000 cents 2 x x 3 x 4 S SD: 21.8059 cents 3 x 4 x 5:6 S SD: 33.6533 cents 4 x x 6:7:8 S SD: 25.9144 cents 5:6:7:8 x 10 S SD: 64.8568 cents 6:7:8:9:10:12 S SD: 45.8477 cents 7:8:10:11:12:14 S SD: 34.6268 cents 8:9:11:12:13:16 SD: 32.9653 cents 9:10:13:14:15:18 SD: 25.2675 cents 10:11:14:15:17:20 SD: 22.0604 cents 11:12:16:17:19:22 SD: 21.6217 cents 12:13:17:18:20:24 SD: 17.4904 cents 13:14:18:20:22:26 SD: 14.2591 cents 15:16:21:23:25:30 SD: 10.5077 cents 17:18:24:26:29:34 SD: 8.0239 cents 19:20:27:29:32:38 SD: 5.8224 cents 22:23:31:34:37:44 SD: 2.9761 cents 46:48:65:71:78:92 SD: 2.7914 cents 48:50:68:74:81:96 SD: 1.7568 cents 54:56:76:83:91:108 SD: 1.2494 cents 73:76:103:112:123:146 SD: 1.2475 cents 76:79:107:117:128:152 SD: 1.0926 cents 80:83:113:123:135:160 SD: 0.5495 cents 102:106:144:157:172:204 SD: 0.2755 cents 182:189:257:280:307:364 SD: 0.1852 cents 284:295:401:437:479:568 SD: 0.1543 cents 440:457:621:677:742:880 SD: 0.1361 cents 520:540:734:800:877:1040 SD: 0.1331 cents 539:560:761:829:909:1078 SD: 0.1244 cents 593:616:837:912:1000:1186 SD: 0.1126 cents