Scala analysis: CD06_11_bayati_Egypt
Que l'envieux prenne une poutre dans l'oeil - Muhammad Awad Al-Arabî (bayati, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 183.580 cents 183.580472 2: 486.259 cents 486.258610 3: 558.091 cents 558.091010 4: 704.252 cents 704.251968 5: 836.155 cents 836.154928 6: 1028.162 cents 1028.161936 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 171.8381 cents 171.8381 1: 183.5805 cents 183.5805 2: 302.6781 cents 302.6781 3: 71.8324 cents 71.8324 4: 146.1610 cents 146.1610 5: 131.9030 cents 131.9030 6: 192.0070 cents 192.0070 7: 171.8381 cents 171.8381
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 71.83240 cents 1: 1 131.90296 cents 1: 1 146.16096 cents 1: 1 171.83806 cents 1: 1 183.58047 cents 1: 1 192.00701 cents 1: 1 302.67814 cents 2: 1 217.99336 cents 2: 1 278.06392 cents 2: 1 323.90997 cents 2: 1 355.41854 cents 2: 1 363.84507 cents 2: 1 374.51054 cents 2: 1 486.25861 cents 3: 1 349.89632 cents 3: 1 470.07093 cents 3: 1 495.74803 cents 3: 1 520.67150 cents 3: 1 547.42554 cents 3: 1 558.09101 cents 3: 1 658.09667 cents 4: 1 541.90333 cents 4: 1 641.90899 cents 4: 1 652.57446 cents 4: 1 679.32850 cents 4: 1 704.25197 cents 4: 1 729.92907 cents 4: 1 850.10368 cents 5: 1 713.74139 cents 5: 1 825.48946 cents 5: 1 836.15493 cents 5: 1 844.58146 cents 5: 1 876.09003 cents 5: 1 921.93608 cents 5: 1 982.00664 cents 6: 1 897.32186 cents 6: 1 1007.99299 cents 6: 1 1016.41953 cents 6: 1 1028.16194 cents 6: 1 1053.83904 cents 6: 1 1068.09704 cents 6: 1 1128.16760 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 : 183.6 486.3 558.1 704.3 836.2 1028.2 1200.0 183.6 : 302.7 374.5 520.7 652.6 844.6 1016.4 1200.0 486.3 : 71.8 218.0 349.9 541.9 713.7 897.3 1200.0 558.1 : 146.2 278.1 470.1 641.9 825.5 1128.2 1200.0 704.3 : 131.9 323.9 495.7 679.3 982.0 1053.8 1200.0 836.2 : 192.0 363.8 547.4 850.1 921.9 1068.1 1200.0 1028.2: 171.8 355.4 658.1 729.9 876.1 1008.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 71.8324 .. 302.6781 cents 230.84574 cents 71.83240 cents 2: 217.9934 .. 486.2586 cents 268.26525 cents -84.68478 cents 3: 349.8963 .. 658.0967 cents 308.20036 cents -136.36229 cents 4: 541.9033 .. 850.1037 cents 308.20036 cents -116.19335 cents 5: 713.7414 .. 982.0066 cents 268.26525 cents -136.36229 cents 6: 897.3219 .. 1128.1676 cents 230.84574 cents -84.68478 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 71.83240 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 302.67814 cents Average / Smallest step : 2.386508 Largest / Average step : 1.765622 Largest / Smallest step : 4.213672 Median interval of one step : 171.83806 cents, amount: 1 Least squares average step : 174.26518 cents, oct.: 1219.85624 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : EGACBFD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 5.52222 cents Scale diversity : 1.628361 Lumma stability : 0.119721 Lumma impropriety factor : 0.465240 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 : 5.52222 cents Number of recognisable fifths : 2, average 708.9967 cents Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 2 0 1 1 1 1 N T3 SD: 22.7922 c. M: 43.8053 c. 12: 2 3 1 1 1 2 2 N SD: 24.8801 c. M:-41.9090 c. 13: 2 3 1 2 1 2 2 N SD: 16.8724 c. M:-34.2096 c. 17: 3 4 1 2 2 3 2 N SD: 16.7399 c. M:-30.6616 c. 19: 3 5 1 2 2 3 3 N SD: 12.7181 c. M:-19.0045 c. 20: 3 5 1 3 2 3 3 N SD: 10.0618 c. M: 18.0910 c. 26: 4 6 2 3 3 4 4 N SD: 11.7419 c. M: 24.7201 c. 27: 4 7 2 3 3 4 4 N SD: 9.0963 c. M:-19.6868 c. 30: 5 7 2 4 3 5 4 N SD: 10.1090 c. M:-16.4195 c. 32: 5 8 2 4 3 5 5 N SD: 8.2298 c. M: 15.6619 c. 33: 5 8 2 4 4 5 5 N SD: 9.4382 c. M: 13.5313 c. 34: 5 9 2 4 4 5 5 N SD: 6.5365 c. M:-10.9039 c. 39: 6 10 2 5 4 6 6 N SD: 6.0919 c. M: 12.7773 c. 47: 7 12 3 6 5 7 7 N SD: 5.8499 c. M:-10.6416 c. 49: 8 12 3 6 5 8 7 N SD: 5.8477 c. M:-12.3379 c. 50: 8 12 3 6 6 8 7 N SD: 5.9133 c. M:-8.4195 c. 51: 8 13 3 6 6 8 7 N SD: 6.5423 c. M:-10.9039 c. 54: 8 14 3 7 6 8 8 N SD: 5.3193 c. M:-8.2895 c. 56: 9 14 3 7 6 9 8 N SD: 4.4596 c. M:-9.2767 c. 60: 9 15 4 7 7 9 9 N SD: 4.7074 c. M: 8.1619 c. 64: 10 16 4 8 7 10 9 N SD: 4.9511 c. M:-8.2480 c. 65: 10 16 4 8 7 11 9 N SD: 4.2584 c. M: 6.2586 c. 72: 11 18 4 9 8 12 10 N SD: 4.2572 c. M: 8.0910 c. 73: 11 19 4 9 8 12 10 N SD: 4.1907 c. M:-7.4545 c. 76: 12 19 4 10 8 12 11 N SD: 4.1078 c. M:-6.2743 c. 77: 12 19 5 9 9 12 11 N SD: 3.1266 c. M:-5.4035 c. 91: 14 23 5 11 10 15 13 N SD: 3.3728 c. M: 5.3857 c. 92: 14 23 6 11 10 15 13 N SD: 2.0370 c. M: 3.6499 c. 99: 15 25 6 12 11 16 14 N SD: 1.2806 c. M:-2.1411 c. 138: 21 35 8 17 15 22 20 N SD: 1.2007 c. M: 2.0750 c. 155: 24 39 9 19 17 25 22 N SD: 1.1936 c. M:-2.2260 c. 182: 28 46 11 22 20 29 26 N SD: 1.3358 c. M:-2.3486 c. 189: 29 48 11 23 21 30 27 N SD: 1.2993 c. M:-2.6303 c. 202: 31 51 12 25 22 32 29 N SD: 1.2377 c. M:-2.6787 c. 204: 31 52 12 25 22 33 29 N SD: 1.2485 c. M:-1.9767 c. 208: 32 52 13 25 23 33 30 N SD: 1.0651 c. M: 1.6432 c. 215: 33 54 13 26 24 34 31 N SD: 0.7871 c. M: 1.1852 c. 230: 35 58 14 28 25 37 33 N SD: 0.7618 c. M: 1.3723 c. 237: 36 60 14 29 26 38 34 N SD: 0.7382 c. M: 1.3020 c. 286: 44 72 17 35 31 46 41 N SD: 0.6704 c. M: 1.1899 c. 293: 45 74 17 36 32 47 42 N SD: 0.7027 c. M:-1.1134 c. 301: 46 76 18 37 33 48 43 N SD: 0.6847 c. M:-1.3959 c. 314: 48 79 19 38 35 50 45 N SD: 0.6141 c. M: 1.0673 c. 370: 57 93 22 45 41 59 53 N SD: 0.5794 c. M:-1.2844 c. 372: 57 94 22 45 41 60 53 N SD: 0.6599 c. M: 1.0262 c. 378: 58 95 23 46 41 61 54 N SD: 0.6497 c. M: 1.2343 c. 385: 59 97 23 47 42 62 55 N SD: 0.3803 c. M: 0.8303 c. 419: 64 106 25 51 46 67 60 N SD: 0.3164 c. M:-0.6149 c. 518: 79 131 31 63 57 83 74 N SD: 0.2944 c. M: 0.5689 c. 550: 84 139 33 67 60 88 79 N SD: 0.4061 c. M: 0.5256 c. 557: 85 141 33 68 61 89 80 N SD: 0.3788 c. M:-0.6355 c. 574: 88 145 34 70 63 92 82 N SD: 0.4028 c. M:-0.8494 c. 593: 91 149 36 72 65 95 85 N SD: 0.3869 c. M: 0.5925 c. 600: 92 151 36 73 66 96 86 N SD: 0.2283 c. M:-0.4195 c. 733: 112 185 44 89 81 117 105 N SD: 0.2187 c. M:-0.4071 c. 804: 123 203 48 98 88 129 115 N SD: 0.2105 c. M: 0.3340 c. 837: 128 211 50 102 92 134 120 N SD: 0.2520 c. M: 0.3849 c. 864: 132 218 52 105 95 138 124 N SD: 0.2064 c. M: 0.3842 c. 888: 136 224 53 108 98 142 127 N SD: 0.2034 c. M:-0.3316 c. 901: 138 227 54 110 99 144 129 N SD: 0.1764 c. M:-0.2985 c. 1000: 153 252 60 122 110 160 143 N SD: 0.1749 c. M: 0.2586 c. 1019: 156 257 61 124 112 163 146 N SD: 0.0839 c. M:-0.1290 c. 1118: 171 282 67 136 123 179 160 N SD: 0.0705 c. M: 0.1375 c. 2019: 309 509 121 246 222 323 289 N SD: 0.0654 c. M:-0.1006 c. 2137: 327 539 128 260 235 342 306 N SD: 0.0490 c. M: 0.0873 c. 2157: 330 544 129 263 237 345 309 N SD: 0.0504 c. M: 0.0938 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: 1.1485 cents 3 x 4 x x 5 x 6 S SD: 16.5413 cents 4 x 5 x 6 x 7:8 S SD: 29.0635 cents 5:6 x 7 x 8:9:10 S SD: 27.3151 cents 6:7:8 x 9:10:11:12 S SD: 16.5450 cents 7:8:9:10 x 11:13:14 SD: 19.1394 cents 8:9 x 11:12:13:14:16 SD: 10.5466 cents 9:10:12 x 14:15:16:18 S SD: 14.1152 cents 10:11:13:14:15:16:18:20 SD: 7.2704 cents 11:12 x 15:17:18:20:22 SD: 10.9138 cents 14:16 x 19:21:23:25:28 SD: 10.8922 cents 15:17:20:21:23:24:27:30 SD: 8.7203 cents 16:18:21:22:24:26:29:32 SD: 3.8469 cents 17:19 x 23:26:28:31:34 SD: 9.3998 cents 18:20:24:25:27:29:33:36 SD: 4.0858 cents 26:29:34:36:39:42:47:52 SD: 3.4545 cents 34:38:45:47:51:55:62:68 SD: 2.2454 cents 37:41:49:51:56:60:67:74 SD: 2.1015 cents 52:58:69:72:78:84:94:104 SD: 1.5649 cents 53:59:70:73:80:86:96:106 SD: 1.5451 cents 64:71:85:88:96:104:116:128 SD: 1.5150 cents 68:76:90:94:102:110:123:136 SD: 1.4943 cents 71:79:94:98:107:115:129:142 SD: 1.1841 cents 74:82:98:102:111:120:134:148 SD: 0.9757 cents 89:99:118:123:134:144:161:178 SD: 0.9021 cents 90:100:119:124:135:146:163:180 SD: 0.7383 cents 108:120:143:149:162:175:196:216 SD: 0.6563 cents 126:140:167:174:189:204:228:252 SD: 0.5575 cents 142:158:188:196:213:230:257:284 SD: 0.4497 cents 169:188:224:233:254:274:306:338 SD: 0.4310 cents 179:199:237:247:269:290:324:358 SD: 0.2463 cents 287:319:380:396:431:465:520:574 SD: 0.2143 cents 392:436:519:541:589:635:710:784 SD: 0.2138 cents 420:467:556:580:631:681:761:840 SD: 0.2083 cents 428:476:567:591:643:694:775:856 SD: 0.1770 cents 466:518:617:643:700:755:844:932 SD: 0.1720 cents 502:558:665:693:754:814:909:1004 SD: 0.1453 cents 518:576:686:715:778:840:938:1036 SD: 0.1174 cents