Scala analysis: CD03_11_Egypt
Suite - Aziz 'Uthmân (nahawand, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 73.744 cents 73.743558 2: 300.582 cents 300.581991 3: 494.287 cents 494.286618 4: 607.634 cents 607.633763 5: 899.531 cents 899.531444 6: 1008.431 cents 1008.431001 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 191.5690 cents 191.5690 1: 73.7436 cents 73.7436 2: 226.8384 cents 226.8384 3: 193.7046 cents 193.7046 4: 113.3471 cents 113.3471 5: 291.8977 cents 291.8977 6: 108.8996 cents 108.8996 7: 191.5690 cents 191.5690
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 73.74356 cents 1: 1 108.89956 cents 1: 1 113.34714 cents 1: 1 191.56900 cents 1: 1 193.70463 cents 1: 1 226.83843 cents 1: 1 291.89768 cents 2: 1 265.31256 cents 2: 1 300.46856 cents 2: 1 300.58199 cents 2: 1 307.05177 cents 2: 1 400.79724 cents 2: 1 405.24483 cents 2: 1 420.54306 cents 3: 1 374.21211 cents 3: 1 492.15099 cents 3: 1 494.28662 cents 3: 1 514.14438 cents 3: 1 533.89020 cents 3: 1 592.36624 cents 3: 1 598.94945 cents 4: 1 601.05055 cents 4: 1 607.63376 cents 4: 1 666.10979 cents 4: 1 685.85562 cents 4: 1 705.71338 cents 4: 1 707.84901 cents 4: 1 825.78789 cents 5: 1 779.45694 cents 5: 1 794.75517 cents 5: 1 799.20276 cents 5: 1 892.94823 cents 5: 1 899.41801 cents 5: 1 899.53144 cents 5: 1 934.68744 cents 6: 1 908.10232 cents 6: 1 973.16157 cents 6: 1 1006.29537 cents 6: 1 1008.43100 cents 6: 1 1086.65286 cents 6: 1 1091.10044 cents 6: 1 1126.25644 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 : 73.7 300.6 494.3 607.6 899.5 1008.4 1200.0 73.7 : 226.8 420.5 533.9 825.8 934.7 1126.3 1200.0 300.6 : 193.7 307.1 598.9 707.8 899.4 973.2 1200.0 494.3 : 113.3 405.2 514.1 705.7 779.5 1006.3 1200.0 607.6 : 291.9 400.8 592.4 666.1 892.9 1086.7 1200.0 899.5 : 108.9 300.5 374.2 601.1 794.8 908.1 1200.0 1008.4: 191.6 265.3 492.2 685.9 799.2 1091.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 73.7436 .. 291.8977 cents 218.15412 cents 73.74356 cents 2: 265.3126 .. 420.5431 cents 155.23050 cents -26.58512 cents 3: 374.2121 .. 598.9495 cents 224.73734 cents -46.33095 cents 4: 601.0505 .. 825.7879 cents 224.73734 cents 2.10109 cents 5: 779.4569 .. 934.6874 cents 155.23050 cents -46.33095 cents 6: 908.1023 .. 1126.2564 cents 218.15412 cents -26.58512 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 73.74356 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 291.89768 cents Average / Smallest step : 2.324658 Largest / Average step : 1.702736 Largest / Smallest step : 3.958280 Median interval of one step : 191.56900 cents, amount: 1 Least squares average step : 168.11818 cents, oct.: 1176.82728 cents Scale is not proper Step pattern alph. order: ABCDEFG Step pattern size order : AFECGBD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 2.10109 cents Scale diversity : 1.615190 Lumma stability : 0.124657 Lumma impropriety factor : 0.121527 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 : 0.11343 cents Number of recognisable fifths : 3, average 699.8060 cents Number of appreciable fifths : 2, average 706.7812 cents Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 0 2 1 1 1 1 1 N T3 SD: 47.6959 c. M:-78.0805 c. 8: 0 2 1 1 2 1 1 N T3 SD: 36.2259 c. M: 73.7436 c. 12: 1 2 2 1 3 1 2 P D3 SD: 11.0321 c. M:-26.2564 c. Locrian natural 6, Maqam Tarznauyn 19: 1 4 3 2 4 2 3 N SD: 13.5029 c. M:-23.9452 c. 20: 1 4 3 2 5 2 3 N SD: 9.1470 c. M: 14.2866 c. 31: 2 6 5 3 7 3 5 N SD: 7.5805 c. M:-11.7211 c. 32: 2 6 5 3 8 3 5 N SD: 4.1923 c. M: 7.6338 c. 49: 3 9 8 5 12 4 8 N SD: 4.6107 c. M: 6.7044 c. 51: 3 10 8 5 12 5 8 N SD: 3.6949 c. M: 5.4138 c. 63: 4 12 10 6 15 6 10 N SD: 2.6067 c. M: 4.2933 c. 83: 5 16 13 8 20 8 13 N SD: 2.4453 c. M:-3.6172 c. 95: 6 18 15 9 23 9 15 N SD: 1.9611 c. M: 2.6893 c. 99: 6 19 16 9 24 9 16 N SD: 2.0313 c. M:-2.6831 c. 100: 6 19 16 10 24 9 16 N SD: 2.0027 c. M:-4.3662 c. 112: 7 21 18 11 27 10 18 N SD: 1.4798 c. M:-3.0805 c. 131: 8 25 21 12 32 12 21 N SD: 1.5374 c. M: 3.0536 c. 132: 8 25 21 13 32 12 21 N SD: 1.4908 c. M: 3.3775 c. 144: 9 27 23 14 35 13 23 N SD: 1.1650 c. M: 2.6200 c. 148: 9 28 24 14 36 13 24 N SD: 1.2321 c. M: 3.0256 c. 168: 10 32 27 16 41 15 27 N SD: 1.1869 c. M: 2.3150 c. 180: 11 34 29 17 44 16 29 N SD: 0.9011 c. M: 1.7643 c. 199: 12 38 32 19 48 18 32 N SD: 1.0570 c. M:-1.4115 c. 211: 13 40 34 20 51 19 34 N SD: 0.9204 c. M: 1.7959 c. 231: 14 44 37 22 56 21 37 N SD: 0.6843 c. M: 1.0163 c. 243: 15 46 39 23 59 22 39 N SD: 0.5894 c. M: 1.0236 c. 308: 19 58 50 29 75 28 49 N SD: 0.4420 c. M:-0.6599 c. 371: 23 70 60 35 90 34 59 N SD: 0.4903 c. M:-0.7334 c. 395: 24 75 64 37 96 36 63 N SD: 0.4866 c. M:-0.9033 c. 403: 25 76 65 38 98 37 64 N SD: 0.4814 c. M:-0.9983 c. 407: 25 77 66 38 99 37 65 N SD: 0.4250 c. M:-1.0451 c. 427: 26 81 69 40 104 39 68 N SD: 0.4178 c. M: 0.6756 c. 439: 27 83 71 41 107 40 70 N SD: 0.3733 c. M: 0.8001 c. 440: 27 83 71 42 107 40 70 N SD: 0.4969 c. M:-0.6599 c. 444: 27 84 72 42 108 40 71 N SD: 0.4745 c. M: 0.7706 c. 452: 28 85 73 43 110 41 72 N SD: 0.4513 c. M:-0.5927 c. 456: 28 86 74 43 111 41 73 N SD: 0.4000 c. M: 0.5820 c. 476: 29 90 77 45 116 43 76 N SD: 0.3770 c. M: 0.6343 c. 488: 30 92 79 46 119 44 78 N SD: 0.3118 c. M: 0.5820 c. 519: 32 98 84 49 126 47 83 N SD: 0.3066 c. M:-0.5111 c. 539: 33 102 87 51 131 49 86 N SD: 0.1314 c. M: 0.2742 c. 551: 34 104 89 52 134 50 88 N SD: 0.1276 c. M:-0.3036 c. 978: 60 185 158 92 238 89 156 N SD: 0.1572 c. M: 0.2718 c. 1027: 63 194 166 97 250 93 164 N SD: 0.1405 c. M: 0.2899 c. 1090: 67 206 176 103 265 99 174 N SD: 0.0448 c. M: 0.0819 c. 2212: 136 418 357 209 538 201 353 N SD: 0.0532 c. M: 0.0739 c. 2360: 145 446 381 223 574 214 377 N SD: 0.0604 c. M: 0.1259 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: 47.1606 cents 3 x x 4 x 5 x 6 S SD: 5.2104 cents 4 x 5 x 6 x 7:8 S SD: 33.3682 cents 5 x 6 x 7:8:9:10 S SD: 18.2332 cents 6 x 7:8:9:10:11:12 S SD: 18.2214 cents 7 x 8:9:10:12:13:14 S SD: 19.4018 cents 8 x 10 x 11:13:14:16 SD: 24.9571 cents 9:10:11:12:13:15:16:18 SD: 17.6337 cents 10:11:12:13:14:17:18:20 SD: 15.1465 cents 12:13:14:16:17:20:21:24 SD: 12.0996 cents 14:15:17:19:20:24:25:28 SD: 10.8635 cents 15:16:18:20:21:25:27:30 SD: 7.3252 cents 16:17:19:21:23:27:29:32 SD: 7.0702 cents 19:20:23:25:27:32:34:38 SD: 5.5610 cents 21:22:25:28:30:35:38:42 SD: 3.8442 cents 28:29:33:37:40:47:50:56 SD: 3.7642 cents 37:39:44:49:53:62:66:74 SD: 3.6534 cents 38:40:45:51:54:64:68:76 SD: 3.2802 cents 41:43:49:55:58:69:73:82 SD: 3.1672 cents 42:44:50:56:60:71:75:84 SD: 2.3407 cents 43:45:51:57:61:72:77:86 SD: 1.7370 cents 48:50:57:64:68:81:86:96 SD: 1.3985 cents 67:70:80:89:95:113:120:134 SD: 1.3694 cents 69:72:82:92:98:116:124:138 SD: 1.0871 cents 90:94:107:120:128:151:161:180 SD: 0.8813 cents 91:95:108:121:129:153:163:182 SD: 0.7946 cents 115:120:137:153:163:193:206:230 SD: 0.7930 cents 116:121:138:154:165:195:208:232 SD: 0.7340 cents 133:139:158:177:189:224:238:266 SD: 0.6876 cents 138:144:164:184:196:232:247:276 SD: 0.6002 cents 157:164:187:209:223:264:281:314 SD: 0.4343 cents 185:193:220:246:263:311:331:370 SD: 0.3224 cents 233:243:277:310:331:392:417:466 SD: 0.2876 cents 248:259:295:330:352:417:444:496 SD: 0.2818 cents 254:265:302:338:361:427:455:508 SD: 0.2368 cents 321:335:382:427:456:540:575:642 SD: 0.1992 cents 348:363:414:463:494:585:623:696 SD: 0.1971 cents 390:407:464:519:554:656:698:780 SD: 0.1634 cents 411:429:489:547:584:691:736:822 SD: 0.1442 cents 433:452:515:576:615:728:775:866 SD: 0.1408 cents 502:524:597:668:713:844:899:1004 SD: 0.1262 cents 597:623:710:794:848:1004:1069:1194 SD: 0.1258 cents