Scala analysis: CD08_08_bayati_Egypt
Le troisième salut - Mustafa Fahreddin Dede (bayati, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 171.922 cents 171.921947 2: 290.134 cents 290.134141 3: 500.210 cents 500.210167 4: 703.269 cents 703.268719 5: 1001.864 cents 1001.863667 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 198.1363 cents 198.1363 1: 171.9219 cents 171.9219 2: 118.2122 cents 118.2122 3: 210.0760 cents 210.0760 4: 203.0586 cents 203.0586 5: 298.5949 cents 298.5949 6: 198.1363 cents 198.1363
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 118.21219 cents 1: 1 171.92195 cents 1: 1 198.13633 cents 1: 1 203.05855 cents 1: 1 210.07603 cents 1: 1 298.59495 cents 2: 1 290.13414 cents 2: 1 328.28822 cents 2: 1 370.05828 cents 2: 1 413.13458 cents 2: 1 496.73128 cents 2: 1 501.65350 cents 3: 1 488.27047 cents 3: 1 500.21017 cents 3: 1 531.34677 cents 3: 1 668.65323 cents 3: 1 699.78983 cents 3: 1 711.72953 cents 4: 1 698.34650 cents 4: 1 703.26872 cents 4: 1 786.86542 cents 4: 1 829.94172 cents 4: 1 871.71178 cents 4: 1 909.86586 cents 5: 1 901.40505 cents 5: 1 989.92397 cents 5: 1 996.94145 cents 5: 1 1001.86367 cents 5: 1 1028.07805 cents 5: 1 1081.78781 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 6.00000 = 6
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 171.9 290.1 500.2 703.3 1001.9 1200.0 171.9 : 118.2 328.3 531.3 829.9 1028.1 1200.0 290.1 : 210.1 413.1 711.7 909.9 1081.8 1200.0 500.2 : 203.1 501.7 699.8 871.7 989.9 1200.0 703.3 : 298.6 496.7 668.7 786.9 996.9 1200.0 1001.9: 198.1 370.1 488.3 698.3 901.4 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 118.2122 .. 298.5949 cents 180.38275 cents 118.21219 cents 2: 290.1341 .. 501.6535 cents 211.51936 cents -8.46081 cents 3: 488.2705 .. 711.7295 cents 223.45905 cents -13.38303 cents 4: 698.3465 .. 909.8659 cents 211.51936 cents -13.38303 cents 5: 901.4051 .. 1081.7878 cents 180.38275 cents -8.46081 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 118.21219 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 298.59495 cents Average / Smallest step : 1.691873 Largest / Average step : 1.492975 Largest / Smallest step : 2.525923 Median interval of one step : 200.59744 cents, amount: 0 Least squares average step : 189.83752 cents, oct.: 1139.02510 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : BAEDFC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.44333 cents Scale diversity : 1.552122 Lumma stability : 0.197020 Lumma impropriety factor : 0.036406 Rothenberg efficiency : 0.333333 redundancy: 0.666667 Efficiency x scale size : 2.000000 Number of different interval sizes : 30 = 6.00000 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 6.00000 = 6 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 1.44333 cents Number of recognisable fifths : 4, average 703.2836 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 0 1 1 1 2 1 N T3 SD: 98.6503 c. M: 171.9219 c. 7: 1 1 1 1 2 1 P M ME SD: 25.8184 c. M:-52.7230 c. 8: 1 1 1 2 2 1 N D3 S SD: 35.5900 c. M: 50.2102 c. 12: 2 1 2 2 3 2 P G D3 SD: 12.2469 c. M:-28.0781 c. Minor Hexatonic, Raga Manirangu, Nayaki, Palasi, Pushpalithika (Puspalatika), Suha Sughrai, Yo: Japan, Eskimo Hexatonic 1 (Alaska: King Island) 17: 2 2 3 3 4 3 P SD: 14.3499 c. M: 30.7455 c. 19: 3 2 3 3 5 3 P G D3 SD: 13.7818 c. M:-25.6553 c. 20: 3 2 3 4 5 3 N SD: 14.0232 c. M: 20.2102 c. 22: 3 2 4 4 5 4 P SD: 12.2057 c. M: 20.0455 c. 24: 3 3 4 4 6 4 P SD: 9.9340 c. M: 21.9219 c. 26: 4 2 5 4 7 4 N SD: 10.7595 c. M:-13.5209 c. 29: 4 3 5 5 7 5 P SD: 4.6799 c. M: 8.7602 c. 41: 6 4 7 7 10 7 P SD: 3.4941 c. M: 6.7417 c. 55: 8 5 10 9 14 9 N SD: 3.6676 c. M: 6.4978 c. 62: 9 6 11 10 16 10 N SD: 3.5944 c. M: 6.4945 c. 65: 9 7 11 11 16 11 P SD: 3.9008 c. M: 5.7681 c. 67: 10 6 12 11 17 11 N SD: 3.8705 c. M:-7.1825 c. 70: 10 7 12 12 17 12 P SD: 3.3893 c. M: 7.5780 c. 72: 10 7 13 12 18 12 N SD: 3.8313 c. M: 6.8008 c. 75: 11 7 13 13 19 12 N SD: 3.5847 c. M:-6.1363 c. 77: 11 8 13 13 19 13 P SD: 3.2130 c. M:-5.9698 c. 79: 11 8 14 13 20 13 N SD: 2.8229 c. M: 4.8333 c. 84: 12 8 15 14 21 14 N SD: 2.3798 c. M: 4.4199 c. 91: 13 9 16 15 23 15 N SD: 1.8358 c. M: 4.3676 c. 96: 14 9 17 16 24 16 N SD: 2.2589 c. M: 3.2687 c. 103: 15 10 18 17 26 17 N SD: 2.1552 c. M: 4.2396 c. 104: 15 10 18 18 26 17 N SD: 2.0351 c. M: 4.0563 c. 113: 16 11 20 19 28 19 N SD: 2.4408 c. M: 3.6336 c. 116: 17 11 20 20 29 19 N SD: 2.2979 c. M:-3.9401 c. 120: 17 12 21 20 30 20 N SD: 1.7279 c. M: 3.2687 c. 132: 19 13 23 22 33 22 N SD: 1.6047 c. M: 3.2687 c. 135: 19 14 23 23 34 22 N SD: 2.3490 c. M:-3.1992 c. 139: 20 14 24 23 35 23 N SD: 2.1753 c. M: 3.9881 c. 140: 20 14 24 24 35 23 N SD: 1.4424 c. M: 3.0673 c. 152: 22 15 26 26 38 25 N SD: 1.6362 c. M: 2.8417 c. 153: 22 15 27 26 38 25 N SD: 1.5561 c. M:-2.6136 c. 165: 24 16 29 28 41 27 N SD: 1.7315 c. M:-2.6235 c. 169: 24 17 29 29 42 28 N SD: 1.5195 c. M: 3.1687 c. 177: 25 18 31 30 44 29 N SD: 1.6163 c. M: 2.4304 c. 181: 26 18 31 31 45 30 N SD: 1.4356 c. M: 2.9726 c. 182: 26 18 32 31 45 30 N SD: 1.0083 c. M:-2.2258 c. 183: 26 18 32 31 46 30 N SD: 1.4557 c. M: 1.8495 c. 187: 27 18 33 32 46 31 N SD: 1.3677 c. M:-2.6136 c. 189: 27 19 33 32 47 31 N SD: 1.2787 c. M:-1.9294 c. 194: 28 19 34 33 48 32 N SD: 1.0196 c. M:-1.8859 c. 195: 28 19 34 33 49 32 N SD: 1.1894 c. M: 1.7486 c. 211: 30 21 37 36 52 35 N SD: 1.0330 c. M:-1.9446 c. 218: 31 22 38 37 54 36 N SD: 1.0381 c. M:-1.6090 c. 223: 32 22 39 38 55 37 N SD: 0.8203 c. M:-1.6640 c. 232: 33 23 41 39 58 38 N SD: 1.0475 c. M:-1.5846 c. 237: 34 23 42 40 59 39 N SD: 0.8390 c. M: 1.5265 c. 244: 35 24 43 41 61 40 N SD: 0.8256 c. M:-1.4292 c. 266: 38 26 47 45 66 44 N SD: 0.6954 c. M: 1.4123 c. 273: 39 27 48 46 68 45 N SD: 0.4371 c. M:-0.8887 c. 285: 41 28 50 48 71 47 N SD: 0.4895 c. M:-0.8425 c. 314: 45 31 55 53 78 52 N SD: 0.3258 c. M: 0.5898 c. 413: 59 41 72 70 103 68 N SD: 0.3984 c. M:-0.5576 c. 418: 60 41 73 71 104 69 N SD: 0.3223 c. M: 0.6886 c. 580: 83 57 102 98 144 96 N SD: 0.3571 c. M: 0.4844 c. 587: 84 58 103 99 146 97 N SD: 0.2895 c. M:-0.6416 c. 662: 95 65 116 112 165 109 N SD: 0.2610 c. M:-0.5533 c. 679: 97 67 119 115 169 112 N SD: 0.2544 c. M: 0.4934 c. 691: 99 68 121 117 172 114 N SD: 0.0900 c. M:-0.1624 c. 1005: 144 99 176 170 250 166 N SD: 0.0481 c. M:-0.0883 c. 1696: 243 167 297 287 422 280 N SD: 0.0259 c. M: 0.0398 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 0.6569 cents 3 x x 4 x 5:6 S SD: 39.1750 cents 4 x 5 x 6:7:8 S SD: 25.4260 cents 5 x 6:7:8:9:10 S SD: 28.1878 cents 6 x 7:8:9:11:12 SD: 10.5901 cents 7 x 8:9:11:12:14 SD: 27.3631 cents 8:9 x 11:12:14:16 SD: 13.7528 cents 10:11:12:13:15:18:20 SD: 9.2246 cents 12:13:14:16:18:21:24 S SD: 8.7421 cents 16:18:19:21:24:29:32 SD: 8.6819 cents 17:19:20:23:26:30:34 SD: 8.2065 cents 18:20:21:24:27:32:36 SD: 4.3805 cents 27:30:32:36:41:48:54 SD: 3.9477 cents 28:31:33:37:42:50:56 SD: 3.2025 cents 38:42:45:51:57:68:76 SD: 1.8686 cents 48:53:57:64:72:86:96 SD: 1.8278 cents 50:55:59:67:75:89:100 SD: 1.8056 cents 56:62:66:75:84:100:112 SD: 1.5543 cents 60:66:71:80:90:107:120 SD: 1.2481 cents 66:73:78:88:99:118:132 SD: 0.9171 cents 98:108:116:131:147:175:196 SD: 0.8738 cents 114:126:135:152:171:203:228 SD: 0.8069 cents 116:128:137:155:174:207:232 SD: 0.5593 cents 143:158:169:191:215:255:286 SD: 0.5218 cents 170:188:201:227:255:303:340 SD: 0.5001 cents 182:201:215:243:273:325:364 SD: 0.4793 cents 191:211:226:255:287:341:382 SD: 0.4407 cents 203:224:240:271:305:362:406 SD: 0.3673 cents 230:254:272:307:345:410:460 SD: 0.2899 cents 269:297:318:359:404:480:538 SD: 0.2267 cents 355:392:420:474:533:633:710 SD: 0.2049 cents 373:412:441:498:560:665:746 SD: 0.1582 cents 421:465:498:562:632:751:842 SD: 0.1169 cents 499:551:590:666:749:890:998 SD: 0.0974 cents 537:593:635:717:806:958:1074 SD: 0.0797 cents