Scala analysis: CD06_10_Egypt
Danse des princesses - Muhammad Awad Al-Arabî (unknown maqam, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 132.086 cents 132.085591 2: 275.868 cents 275.868156 3: 479.123 cents 479.122738 4: 614.170 cents 614.169606 5: 826.779 cents 826.779430 6: 966.231 cents 966.230581 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 233.7694 cents 233.7694 1: 132.0856 cents 132.0856 2: 143.7826 cents 143.7826 3: 203.2546 cents 203.2546 4: 135.0469 cents 135.0469 5: 212.6098 cents 212.6098 6: 139.4512 cents 139.4512 7: 233.7694 cents 233.7694
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 132.08559 cents 1: 1 135.04687 cents 1: 1 139.45115 cents 1: 1 143.78257 cents 1: 1 203.25458 cents 1: 1 212.60982 cents 1: 1 233.76942 cents 2: 1 275.86816 cents 2: 1 338.30145 cents 2: 1 347.03715 cents 2: 1 347.65669 cents 2: 1 352.06098 cents 2: 1 365.85501 cents 2: 1 373.22057 cents 3: 1 479.12274 cents 3: 1 482.08402 cents 3: 1 487.10784 cents 3: 1 505.30616 cents 3: 1 509.63757 cents 3: 1 550.91127 cents 3: 1 585.83039 cents 4: 1 614.16961 cents 4: 1 649.08873 cents 4: 1 690.36243 cents 4: 1 694.69384 cents 4: 1 712.89216 cents 4: 1 717.91598 cents 4: 1 720.87726 cents 5: 1 826.77943 cents 5: 1 834.14499 cents 5: 1 847.93902 cents 5: 1 852.34331 cents 5: 1 852.96285 cents 5: 1 861.69855 cents 5: 1 924.13184 cents 6: 1 966.23058 cents 6: 1 987.39018 cents 6: 1 996.74542 cents 6: 1 1056.21744 cents 6: 1 1060.54885 cents 6: 1 1064.95313 cents 6: 1 1067.91441 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 : 132.1 275.9 479.1 614.2 826.8 966.2 1200.0 132.1 : 143.8 347.0 482.1 694.7 834.1 1067.9 1200.0 275.9 : 203.3 338.3 550.9 690.4 924.1 1056.2 1200.0 479.1 : 135.0 347.7 487.1 720.9 853.0 996.7 1200.0 614.2 : 212.6 352.1 585.8 717.9 861.7 1065.0 1200.0 826.8 : 139.5 373.2 505.3 649.1 852.3 987.4 1200.0 966.2 : 233.8 365.9 509.6 712.9 847.9 1060.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 132.0856 .. 233.7694 cents 101.68383 cents 132.08559 cents 2: 275.8682 .. 373.2206 cents 97.35241 cents 42.09874 cents 3: 479.1227 .. 585.8304 cents 106.70766 cents 105.90217 cents 4: 614.1696 .. 720.8773 cents 106.70766 cents 28.33921 cents 5: 826.7794 .. 924.1318 cents 97.35241 cents 105.90217 cents 6: 966.2306 .. 1067.9144 cents 101.68383 cents 42.09874 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 132.08559 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 233.76942 cents Average / Smallest step : 1.297860 Largest / Average step : 1.363655 Largest / Smallest step : 1.769833 Median interval of one step : 143.78257 cents, amount: 1 Least squares average step : 163.63678 cents, oct.: 1145.45746 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : ADEBFCG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 28.33921 cents Scale diversity : 1.454200 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.490427 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 : 0.61954 cents Number of recognisable fifths : 4, average 703.9661 cents Number of appreciable fifths : 3, average 699.3161 cents Best fifths form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 0 1 1 1 1 1 2 N T3 SD: 112.5667 c. M: 141.0651 c. 8: 1 1 1 1 2 0 2 P D3 S SD: 40.8830 c. M:-73.2206 c. 9: 1 1 2 1 1 1 2 P M ME S SD: 32.9075 c. M:-54.2106 c. Pseudo Pelog, Pelogic-7, Antiionian 10: 1 1 2 1 2 1 2 P M ME S SD: 16.2469 c. M: 35.8682 c. 12: 1 2 2 1 2 2 2 P M ME S SD: 24.2192 c. M:-33.7694 c. G.Mixolydian, G.Hyperdorian, M.Hypophrygian, M.Locrian, G.M.Hyperaeolian, Rut biscale descending, Pien chih: China, Makam Lami, Yishtabach: Jewish 16: 2 2 2 2 3 2 3 P D3 S SD: 17.0388 c. M: 29.1227 c. 17: 2 2 3 2 3 2 3 SP M ME S SD: 15.5437 c. M:-22.0047 c. Safi al-Din's maqam Higazi 20: 2 3 3 2 4 2 4 P D3 S SD: 12.7815 c. M:-24.1318 c. 25: 3 3 4 3 4 3 5 SP T3 SD: 8.7958 c. M:-12.1318 c. 35: 4 4 6 4 6 4 7 SP SD: 3.6232 c. M: 6.2306 c. 57: 6 7 10 6 10 7 11 SP SD: 4.0499 c. M: 5.7698 c. 61: 7 7 10 7 11 7 12 SP SD: 3.8734 c. M: 6.9916 c. 62: 7 7 11 7 11 7 12 SP SD: 4.0934 c. M:-5.4786 c. 65: 7 8 11 7 12 7 13 SP SD: 3.5690 c. M: 6.2306 c. 72: 8 9 12 8 13 8 14 SP SD: 4.2155 c. M:-7.4652 c. 73: 8 9 12 8 13 9 14 SP SD: 3.6100 c. M: 5.9504 c. 78: 9 9 13 9 14 9 15 SP SD: 3.2293 c. M:-6.3759 c. 82: 9 10 14 9 14 10 16 SP SD: 3.2191 c. M: 7.2672 c. 83: 9 10 14 9 15 10 16 SP SD: 3.1765 c. M: 6.9407 c. 88: 10 10 15 10 16 10 17 SP SD: 2.9537 c. M:-5.0388 c. 90: 10 11 15 10 16 10 18 SP SD: 2.9015 c. M: 6.2306 c. 92: 10 11 16 10 16 11 18 SP SD: 2.5746 c. M: 5.0403 c. 97: 11 11 17 11 17 11 19 SP SD: 3.0744 c. M:-4.3871 c. 100: 11 12 17 11 18 12 19 SP SD: 2.3987 c. M:-5.7694 c. 103: 11 13 17 12 18 12 20 SP SD: 2.4855 c. M: 3.9303 c. 107: 12 13 18 12 19 12 21 SP SD: 2.8314 c. M:-4.5057 c. 108: 12 13 18 12 19 13 21 SP SD: 2.3091 c. M: 4.5572 c. 112: 12 14 19 12 20 13 22 SP SD: 2.6095 c. M: 3.5142 c. 113: 12 14 19 13 20 13 22 SP SD: 2.0261 c. M: 4.6520 c. 117: 13 14 20 13 21 13 23 SP SD: 2.1768 c. M:-3.9898 c. 118: 13 14 20 13 21 14 23 SP SD: 2.0123 c. M: 4.0001 c. 125: 14 15 21 14 22 15 24 SP SD: 1.9024 c. M:-3.3694 c. 135: 15 16 23 15 24 16 26 SP SD: 1.2073 c. M:-2.6583 c. 148: 16 18 25 17 26 17 29 SP SD: 1.3232 c. M: 2.3559 c. 170: 19 20 29 19 30 20 33 SP SD: 0.9799 c. M:-2.0321 c. 190: 21 23 32 21 34 22 37 SP SD: 1.0620 c. M:-2.0266 c. 200: 22 24 34 22 36 23 39 SP SD: 1.0032 c. M: 2.1696 c. 221: 24 27 37 25 39 26 43 SP SD: 1.0972 c. M: 1.7688 c. 225: 25 27 38 25 40 26 44 SP SD: 0.9251 c. M:-1.4652 c. 235: 26 28 40 26 42 27 46 SP SD: 0.8184 c. M: 1.4036 c. 266: 29 32 45 30 47 31 52 SP SD: 0.8828 c. M: 1.2585 c. 273: 30 33 46 31 48 32 53 SP SD: 0.7015 c. M:-1.2150 c. 283: 31 34 48 32 50 33 55 SP SD: 0.4195 c. M:-0.6714 c. 318: 35 38 54 36 56 37 62 SP SD: 0.4136 c. M:-0.9247 c. 453: 50 54 77 51 80 53 88 SP SD: 0.3904 c. M:-0.6568 c. 473: 52 57 80 53 84 55 92 SP SD: 0.3514 c. M:-0.6646 c. 483: 53 58 82 54 86 56 94 SP SD: 0.3644 c. M:-0.5498 c. 508: 56 61 86 57 90 59 99 SP SD: 0.2594 c. M:-0.5098 c. 518: 57 62 88 58 92 60 101 SP SD: 0.2352 c. M:-0.4139 c. 774: 85 93 131 87 137 90 151 SP SD: 0.2522 c. M: 0.4228 c. 791: 87 95 134 89 140 92 154 SP SD: 0.1769 c. M:-0.2704 c. 852: 94 102 144 96 151 99 166 SP SD: 0.1698 c. M:-0.3088 c. 862: 95 103 146 97 153 100 168 SP SD: 0.1801 c. M: 0.2485 c. 1100: 121 132 186 124 195 128 214 SP SD: 0.1632 c. M:-0.3149 c. 1135: 125 136 192 128 201 132 221 SP SD: 0.0982 c. M: 0.1800 c. 1370: 151 164 232 154 243 159 267 SP SD: 0.1028 c. M:-0.1772 c. 1518: 167 182 257 171 269 176 296 SP SD: 0.1022 c. M: 0.2227 c. 1618: 178 194 274 182 287 188 315 SP SD: 0.0940 c. M:-0.1674 c. 1643: 181 197 278 185 291 191 320 SP SD: 0.0966 c. M:-0.2122 c. 1653: 182 198 280 186 293 192 322 SP SD: 0.0346 c. M:-0.0808 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: 43.8927 cents 3 x x 4 x 5 x 6 S SD: 20.2029 cents 4 x x 5:6 x 7:8 S SD: 31.9438 cents 5 x 6 x 7:8:9:10 S SD: 14.6887 cents 6 x 7:8:9:10 x 12 S SD: 21.4109 cents 7 x 8:9:10:11:12:14 S SD: 13.9494 cents 8:9 x x 11:13:14:16 SD: 19.2923 cents 9:10:11:12:13:15:16:18 SD: 16.1111 cents 10:11:12:13:14:16:17:20 SD: 11.7146 cents 11:12:13:15:16:18:19:22 SD: 11.1804 cents 12:13:14:16:17:19:21:24 SD: 5.6916 cents 23:25:27:30:33:37:40:46 SD: 3.8265 cents 28:30:33:37:40:45:49:56 SD: 2.4398 cents 47:51:55:62:67:76:82:94 SD: 1.6636 cents 59:64:69:78:84:95:103:118 SD: 1.6335 cents 63:68:74:83:90:102:110:126 SD: 1.2640 cents 75:81:88:99:107:121:131:150 SD: 0.3922 cents 214:231:251:282:305:345:374:428 SD: 0.2369 cents 289:312:339:381:412:466:505:578 SD: 0.1436 cents 364:393:427:480:519:587:636:728 SD: 0.1403 cents 580:626:680:765:827:935:1013:1160 SD: 0.1392 cents 590:637:692:778:841:951:1031:1180 SD: 0.1297 cents