Scala analysis: CD07_18_Egypt
Cette nuit, le henné - Annûsa Al-Misriyya (unknown maqam, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 337.827 cents 337.826540 2: 490.819 cents 490.819075 3: 669.462 cents 669.462020 4: 953.217 cents 953.217365 5: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 246.7826 cents 246.7826 1: 337.8265 cents 337.8265 2: 152.9925 cents 152.9925 3: 178.6429 cents 178.6429 4: 283.7553 cents 283.7553 5: 246.7826 cents 246.7826
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 152.99253 cents 1: 1 178.64295 cents 1: 1 246.78263 cents 1: 1 283.75535 cents 1: 1 337.82654 cents 2: 1 331.63548 cents 2: 1 462.39829 cents 2: 1 490.81907 cents 2: 1 530.53798 cents 2: 1 584.60918 cents 3: 1 615.39082 cents 3: 1 669.46202 cents 3: 1 709.18093 cents 3: 1 737.60171 cents 3: 1 868.36452 cents 4: 1 862.17346 cents 4: 1 916.24466 cents 4: 1 953.21736 cents 4: 1 1021.35705 cents 4: 1 1047.00747 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 : 337.8 490.8 669.5 953.2 1200.0 337.8 : 153.0 331.6 615.4 862.2 1200.0 490.8 : 178.6 462.4 709.2 1047.0 1200.0 669.5 : 283.8 530.5 868.4 1021.4 1200.0 953.2 : 246.8 584.6 737.6 916.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 152.9925 .. 337.8265 cents 184.83401 cents 152.99253 cents 2: 331.6355 .. 584.6092 cents 252.97370 cents -6.19106 cents 3: 615.3908 .. 868.3645 cents 252.97370 cents 30.78165 cents 4: 862.1735 .. 1047.0075 cents 184.83401 cents -6.19106 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 152.99253 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 337.82654 cents Average / Smallest step : 1.568704 Largest / Average step : 1.407611 Largest / Smallest step : 2.208124 Median interval of one step : 246.78263 cents, amount: 1 Least squares average step : 238.92219 cents, oct.: 1194.61093 cents Scale is not proper Step pattern alph. order: ABCDE Step pattern size order : EABDC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 6.19106 cents Scale diversity : 1.612811 Lumma stability : 0.280639 Lumma impropriety factor : 0.010318 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 : 6.19106 cents Number of recognisable fifths : 1, average 709.1809 cents Best fifths form a closed circle Formal octave complements present : 1 = 20.0000% -- Rational properties --
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 49.5725 c. M: 97.8265 c. 6: 2 0 1 2 1 N T3 SD: 61.8502 c. M: 90.8191 c. 7: 2 1 1 2 1 P M ME S SD: 36.1064 c. M:-75.3541 c. Thai mode 6 8: 2 1 1 2 2 P D3 S SD: 46.3769 c. M: 69.4620 c. 9: 3 1 1 2 2 N SD: 34.8603 c. M:-62.1735 c. 10: 3 1 2 2 2 P T3 SD: 25.3330 c. M:-50.5380 c. 12: 3 2 2 3 2 SP M ME S SD: 30.4510 c. M:-46.7826 c. Minor Pentatonic, Blues Pentatonic, Raga Dhani (Suddha Dhanyasi), Abheri, Udhayaravi Chandrika, Qing Shang, Gu Xian, Jia Zhong, Yu: China, P'yongjo-kyemyonjo: Korea, Minyo: Japan, Lai Yai, Lai Noi: Laos, Nam, Northern Sa mac: Vietnam, Peruvian Pentatonic 2, Batti Minor: Ethiopia 13: 3 2 2 3 3 SP D3 S SD: 34.6938 c. M: 60.9035 c. 14: 4 2 2 3 3 P SD: 13.7656 c. M:-23.4666 c. 18: 5 2 3 4 4 P SD: 14.1895 c. M: 24.1524 c. 20: 6 2 3 5 4 N SD: 12.2004 c. M:-22.1735 c. 24: 7 3 3 6 5 N SD: 11.1499 c. M: 19.4620 c. 25: 7 3 4 6 5 P SD: 5.8794 c. M: 10.8191 c. 29: 8 4 4 7 6 P SD: 5.2131 c. M: 7.3931 c. 39: 11 5 6 9 8 P SD: 3.4258 c. M:-7.4611 c. 54: 15 7 8 13 11 P SD: 2.7275 c. M: 4.4932 c. 68: 19 9 10 16 14 P SD: 1.9307 c. M:-3.2986 c. 88: 25 11 13 21 18 N SD: 1.6070 c. M:-3.0826 c. 93: 26 12 14 22 19 P SD: 1.4581 c. M: 2.3427 c. 127: 36 16 19 30 26 N SD: 1.3352 c. M:-2.3309 c. 142: 40 18 21 34 29 N SD: 1.1729 c. M: 1.8564 c. 156: 44 20 23 37 32 N SD: 0.7833 c. M:-1.4886 c. 181: 51 23 27 43 37 N SD: 0.6843 c. M:-1.4788 c. 210: 59 27 31 50 43 N SD: 0.7448 c. M:-1.0683 c. 213: 60 27 32 50 44 N SD: 0.7271 c. M: 1.1047 c. 242: 68 31 36 57 50 N SD: 0.5899 c. M: 1.1512 c. 249: 70 32 37 59 51 N SD: 0.6260 c. M:-0.9995 c. 267: 75 34 40 63 55 N SD: 0.5717 c. M: 0.9314 c. 301: 85 38 45 71 62 N SD: 0.5556 c. M:-1.0439 c. 330: 93 42 49 78 68 N SD: 0.3201 c. M: 0.4901 c. 355: 100 45 53 84 73 N SD: 0.3252 c. M: 0.6782 c. 369: 104 47 55 87 76 N SD: 0.3321 c. M:-0.4567 c. 384: 108 49 57 91 79 N SD: 0.3633 c. M: 0.7120 c. 394: 111 50 59 93 81 N SD: 0.3545 c. M:-0.5887 c. 423: 119 54 63 100 87 N SD: 0.1100 c. M: 0.2379 c. 753: 212 96 112 178 155 N SD: 0.1207 c. M: 0.2293 c. 934: 263 119 139 221 192 N SD: 0.0687 c. M:-0.1017 c. 1357: 382 173 202 321 279 N SD: 0.0380 c. M:-0.0619 c. 1726: 486 220 257 408 355 N SD: 0.0442 c. M:-0.0645 c. 1780: 501 227 265 421 366 N SD: 0.0418 c. M: 0.0737 c. 2110: 594 269 314 499 434 N SD: 0.0402 c. M: 0.0781 c. 2149: 605 274 320 508 442 N SD: 0.0302 c. M:-0.0587 c.
FIT/HARMONIC
1 x x x x 2 S SD: 0.0000 cents 2 x x 3 x 4 S SD: 16.2465 cents 3 x 4 x 5:6 S SD: 23.0789 cents 4:5 x 6:7:8 S SD: 15.1047 cents 5:6 x 7:9:10 SD: 27.6101 cents 6:7:8:9:10:12 S SD: 20.8655 cents 7 x 9:10:12:14 SD: 19.7029 cents 8:10:11:12:14:16 S SD: 17.1003 cents 9:11:12:13:16:18 SD: 11.0650 cents 13:16:17:19:23:26 SD: 10.0259 cents 15:18:20:22:26:30 SD: 4.8433 cents 19:23:25:28:33:38 SD: 3.5011 cents 27:33:36:40:47:54 SD: 3.4985 cents 34:41:45:50:59:68 SD: 2.9882 cents 42:51:56:62:73:84 SD: 1.9229 cents 46:56:61:68:80:92 SD: 1.8726 cents 55:67:73:81:95:110 SD: 1.6136 cents 61:74:81:90:106:122 SD: 1.2322 cents 64:78:85:94:111:128 SD: 1.2253 cents 70:85:93:103:121:140 SD: 1.2218 cents 79:96:105:116:137:158 SD: 0.9540 cents 83:101:110:122:144:166 SD: 0.9314 cents 97:118:129:143:168:194 SD: 0.9239 cents 98:119:130:144:170:196 SD: 0.7990 cents 116:141:154:171:201:232 SD: 0.5691 cents 125:152:166:184:217:250 SD: 0.3771 cents 195:237:259:287:338:390 SD: 0.2350 cents 241:293:320:355:418:482 SD: 0.2335 cents 320:389:425:471:555:640 SD: 0.1149 cents 339:412:450:499:588:678 SD: 0.1122 cents 534:649:709:786:926:1068 SD: 0.0737 cents