Scala analysis: CD07_19_Egypt
Toi qui apparais semblable à la pleine lune - Annûsa Al-Misriyya (nahawand, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 117.302 cents 117.301775 2: 317.798 cents 317.798491 3: 457.402 cents 457.401619 4: 663.500 cents 663.500051 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 536.4999 cents 536.4999 1: 117.3018 cents 117.3018 2: 200.4967 cents 200.4967 3: 139.6031 cents 139.6031 4: 206.0984 cents 206.0984 5: 536.4999 cents 536.4999
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 117.30178 cents 1: 1 139.60313 cents 1: 1 200.49672 cents 1: 1 206.09843 cents 1: 1 536.49995 cents 2: 1 317.79849 cents 2: 1 340.09984 cents 2: 1 345.70156 cents 2: 1 653.80172 cents 2: 1 742.59838 cents 3: 1 457.40162 cents 3: 1 546.19828 cents 3: 1 854.29844 cents 3: 1 859.90016 cents 3: 1 882.20151 cents 4: 1 663.50005 cents 4: 1 993.90157 cents 4: 1 999.50328 cents 4: 1 1060.39687 cents 4: 1 1082.69822 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 : 117.3 317.8 457.4 663.5 1200.0 117.3 : 200.5 340.1 546.2 1082.7 1200.0 317.8 : 139.6 345.7 882.2 999.5 1200.0 457.4 : 206.1 742.6 859.9 1060.4 1200.0 663.5 : 536.5 653.8 854.3 993.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 117.3018 .. 536.4999 cents 419.19817 cents 117.30178 cents 2: 317.7985 .. 742.5984 cents 424.79989 cents -218.70146 cents 3: 457.4016 .. 882.2015 cents 424.79989 cents -285.19676 cents 4: 663.5001 .. 1082.6982 cents 419.19817 cents -218.70146 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 117.30178 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 536.49995 cents Average / Smallest step : 2.046005 Largest / Average step : 2.235416 Largest / Smallest step : 4.573673 Median interval of one step : 200.49672 cents, amount: 1 Least squares average step : 195.98371 cents, oct.: 979.91853 cents Scale is not proper Step pattern alph. order: ABCDE Step pattern size order : ACBDE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 9.69833 cents Scale diversity : 1.591070 Lumma stability : 0.195503 Lumma impropriety factor : 0.470336 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 : 5.60172 cents Number of recognisable fifths : 0 Formal octave complements present : 1 = 20.0000% -- Rational properties --
FIT/MODE
5: 0 1 1 1 2 N T3 SD: 68.5788 c. M: 117.3018 c. 7: 1 1 1 1 3 N M DE S SD: 38.1757 c. M:-56.8841 c. 8: 1 1 1 1 4 N M DE S SD: 33.0847 c. M: 63.5001 c. 10: 1 2 1 2 4 N T3 SD: 33.1396 c. M:-56.4999 c. 11: 1 2 1 2 5 N T3 SD: 11.6616 c. M: 21.0380 c. 18: 2 3 2 3 8 N T3 SD: 10.9015 c. M:-16.0316 c. 23: 2 4 3 4 10 N SD: 10.5475 c. M:-14.7608 c. 27: 3 4 3 5 12 N SD: 9.7944 c. M:-16.0316 c. 29: 3 5 3 5 13 N T3 SD: 6.7667 c. M:-13.2360 c. 31: 3 5 4 5 14 N SD: 5.4312 c. M: 8.1211 c. 42: 4 7 5 7 19 N SD: 3.5190 c. M: 6.3572 c. 52: 5 9 6 9 23 N SD: 4.0371 c. M:-5.7307 c. 60: 6 10 7 10 27 N SD: 2.4952 c. M: 3.5001 c. 83: 8 14 10 14 37 N SD: 2.5592 c. M:-5.2490 c. 92: 9 15 11 16 41 N SD: 2.2953 c. M: 4.7550 c. 94: 9 16 11 16 42 N SD: 1.5782 c. M: 2.4082 c. 110: 11 18 13 19 49 N SD: 1.6594 c. M:-2.6982 c. 121: 12 20 14 21 54 N SD: 1.0472 c. M:-1.7065 c. 163: 16 27 19 28 73 N SD: 0.8410 c. M: 1.2341 c. 204: 20 34 24 35 91 N SD: 0.8506 c. M:-1.4219 c. 215: 21 36 25 37 96 N SD: 0.3660 c. M:-0.6860 c. 257: 25 43 30 44 115 N SD: 0.3632 c. M: 0.5703 c. 378: 37 63 44 65 169 N SD: 0.2032 c. M: 0.3382 c. 472: 46 79 55 81 211 N SD: 0.1891 c. M: 0.3526 c. 593: 58 99 69 102 265 N SD: 0.1239 c. M:-0.2436 c. 850: 83 142 99 146 380 N SD: 0.0890 c. M: 0.1514 c. 1246: 122 208 145 214 557 N SD: 0.0959 c. M:-0.1942 c. 1257: 123 210 146 216 562 N SD: 0.0895 c. M: 0.1224 c. 1351: 132 226 157 232 604 N SD: 0.0894 c. M:-0.1882 c. 1443: 141 241 168 248 645 N SD: 0.0806 c. M: 0.1270 c. 1503: 147 251 175 258 672 N SD: 0.0507 c. M:-0.0834 c. 1718: 168 287 200 295 768 N SD: 0.0591 c. M:-0.1071 c. 1729: 169 289 201 297 773 N SD: 0.0352 c. M:-0.0731 c. 2096: 205 350 244 360 937 N SD: 0.0466 c. M:-0.0646 c. 2107: 206 352 245 362 942 N SD: 0.0323 c. M: 0.0689 c. 2364: 231 395 275 406 1057 N SD: 0.0371 c. M: 0.0483 c.
FIT/HARMONIC
1 x x x x 2 S SD: 0.0000 cents 2 x x x 3:4 S SD: 19.2275 cents 3 x x 4 x 6 S SD: 20.3217 cents 4 x 5 x 6:8 S SD: 26.1897 cents 5 x 6 x 7:10 SD: 27.0055 cents 6 x 7:8:9:12 S SD: 18.9148 cents 7 x 8:9:10:14 SD: 25.1483 cents 8:9:10 x 12:16 S SD: 29.2341 cents 9:10:11:12:13:18 SD: 17.3084 cents 10:11:12:13:15:20 SD: 12.2786 cents 11:12:13:14:16:22 SD: 12.2305 cents 13:14:16:17:19:26 SD: 8.8305 cents 15:16:18:20:22:30 SD: 8.2165 cents 19:20:23:25:28:38 SD: 7.3624 cents 24:26:29:31:35:48 SD: 5.8667 cents 26:28:31:34:38:52 SD: 3.9465 cents 30:32:36:39:44:60 SD: 1.3572 cents 69:74:83:90:101:138 SD: 1.2706 cents 86:92:103:112:126:172 SD: 1.1989 cents 99:106:119:129:145:198 SD: 0.6413 cents 129:138:155:168:189:258 SD: 0.4698 cents 169:181:203:220:248:338 SD: 0.3600 cents 199:213:239:259:292:398 SD: 0.2948 cents 298:319:358:388:437:596 SD: 0.2162 cents 357:382:429:465:524:714 SD: 0.1868 cents 413:442:496:538:606:826 SD: 0.1828 cents 456:488:548:594:669:912 SD: 0.1008 cents 486:520:584:633:713:972 SD: 0.0672 cents