Scala analysis: CD06_12_bayati_Egypt
Amis, le voyage est pour demain - 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: 211.132 cents 211.131576 2: 357.418 cents 357.417863 3: 466.567 cents 466.566799 4: 693.144 cents 693.144275 5: 900.904 cents 900.903833 6: 1053.406 cents 1053.406295 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 146.5937 cents 146.5937 1: 211.1316 cents 211.1316 2: 146.2863 cents 146.2863 3: 109.1489 cents 109.1489 4: 226.5775 cents 226.5775 5: 207.7596 cents 207.7596 6: 152.5025 cents 152.5025 7: 146.5937 cents 146.5937
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 109.14894 cents 1: 1 146.28629 cents 1: 1 146.59371 cents 1: 1 152.50246 cents 1: 1 207.75956 cents 1: 1 211.13158 cents 1: 1 226.57748 cents 2: 1 255.43522 cents 2: 1 299.09617 cents 2: 1 335.72641 cents 2: 1 357.41786 cents 2: 1 357.72528 cents 2: 1 360.26202 cents 2: 1 434.33703 cents 3: 1 466.56680 cents 3: 1 482.01270 cents 3: 1 504.01157 cents 3: 1 506.85573 cents 3: 1 510.22774 cents 3: 1 543.48597 cents 3: 1 586.83950 cents 4: 1 613.16050 cents 4: 1 656.51403 cents 4: 1 689.77226 cents 4: 1 693.14427 cents 4: 1 695.98843 cents 4: 1 717.98730 cents 4: 1 733.43320 cents 5: 1 765.66297 cents 5: 1 839.73798 cents 5: 1 842.27472 cents 5: 1 842.58214 cents 5: 1 864.27359 cents 5: 1 900.90383 cents 5: 1 944.56478 cents 6: 1 973.42252 cents 6: 1 988.86842 cents 6: 1 992.24044 cents 6: 1 1047.49754 cents 6: 1 1053.40629 cents 6: 1 1053.71371 cents 6: 1 1090.85106 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 : 211.1 357.4 466.6 693.1 900.9 1053.4 1200.0 211.1 : 146.3 255.4 482.0 689.8 842.3 988.9 1200.0 357.4 : 109.1 335.7 543.5 696.0 842.6 1053.7 1200.0 466.6 : 226.6 434.3 586.8 733.4 944.6 1090.9 1200.0 693.1 : 207.8 360.3 506.9 718.0 864.3 973.4 1200.0 900.9 : 152.5 299.1 510.2 656.5 765.7 992.2 1200.0 1053.4: 146.6 357.7 504.0 613.2 839.7 1047.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 109.1489 .. 226.5775 cents 117.42854 cents 109.14894 cents 2: 255.4352 .. 434.3370 cents 178.90181 cents 28.85775 cents 3: 466.5668 .. 586.8395 cents 120.27270 cents 32.22976 cents 4: 613.1605 .. 733.4332 cents 120.27270 cents 26.32101 cents 5: 765.6630 .. 944.5648 cents 178.90181 cents 32.22976 cents 6: 973.4225 .. 1090.8511 cents 117.42854 cents 28.85775 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 109.14894 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 226.57748 cents Average / Smallest step : 1.570593 Largest / Average step : 1.321702 Largest / Smallest step : 2.075856 Median interval of one step : 152.50246 cents, amount: 1 Least squares average step : 173.73716 cents, oct.: 1216.16009 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : FBAGEDC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 26.32101 cents Scale diversity : 1.603434 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.305662 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 : 0.30742 cents Number of recognisable fifths : 4, average 699.2231 cents Number of appreciable fifths : 3, average 692.9683 cents Best fifths form a closed circle Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 30.8277 c. M:-47.7189 c. Lebeng 10: 2 1 1 2 2 1 1 P D3 S SD: 29.1335 c. M:-59.0962 c. Pseudo Rast 12: 2 2 1 2 2 2 1 P M ME S SD: 27.4479 c. M:-46.5937 c. G.Lydian, M.Ionian, M.Hypolydian, Major, Bilaval That, Mela Shankarabharanam, Raga Atana, Ghana Heptatonic, Peruvian Major, Matzore, Rast ascending: Greece, 4th plagal Byzantine, Ararai: Ethiopia, Makam Cargah, Ajam Ashiran, Dastgah-e Mahur, Dastgah-e Rast Panjgah, Xin: China, DS2, Heptatonia prima 13: 2 2 1 3 2 1 2 P D3 SD: 26.3463 c. M:-45.3173 c. 14: 2 2 1 3 2 2 2 P T3 SD: 28.8320 c. M: 43.7610 c. 15: 3 1 2 3 2 2 2 P D3 SD: 23.1512 c. M: 37.4179 c. 16: 3 2 1 3 3 2 2 P SD: 12.6353 c. M: 18.1443 c. 17: 3 2 2 3 3 2 2 SP D3 S SD: 13.3707 c. M:-27.5508 c. Pseudo Rast 23: 4 3 2 4 4 3 3 SP SD: 9.1836 c. M: 14.8834 c. 24: 4 3 2 5 4 3 3 P SD: 8.5592 c. M: 16.5668 c. 31: 5 4 3 6 5 4 4 SP SD: 9.1655 c. M: 17.5832 c. 33: 6 4 3 6 6 4 4 SP SD: 5.3405 c. M:-8.1871 c. 47: 8 6 4 9 8 6 6 SP SD: 5.4394 c. M: 7.2868 c. 56: 10 7 5 10 10 7 7 SP SD: 4.6040 c. M: 7.4300 c. 57: 10 7 5 11 10 7 7 SP SD: 2.2154 c. M:-4.3593 c. 80: 14 10 7 15 14 10 10 SP SD: 2.1616 c. M: 3.4063 c. 97: 17 12 9 18 17 12 12 SP SD: 1.8272 c. M:-3.5363 c. 121: 21 15 11 23 21 15 15 SP SD: 1.5538 c. M: 2.8671 c. 137: 24 17 12 26 24 17 17 SP SD: 1.5839 c. M: 2.3332 c. 147: 26 18 13 28 25 19 18 SP SD: 1.4772 c. M: 2.9446 c. 154: 27 19 14 29 27 19 19 SP SD: 1.4011 c. M:-2.9923 c. 164: 29 20 15 31 28 21 20 SP SD: 1.2043 c. M:-1.9777 c. 165: 29 20 15 31 29 21 20 SP SD: 1.1667 c. M: 2.2352 c. 188: 33 23 17 36 32 24 23 SP SD: 1.0850 c. M:-2.6004 c. 204: 36 25 18 39 35 26 25 SP SD: 1.0570 c. M: 1.8609 c. 221: 39 27 20 42 38 28 27 SP SD: 0.8623 c. M:-1.8783 c. 222: 39 27 20 42 39 28 27 SP SD: 1.1123 c. M:-1.7989 c. 228: 40 28 21 43 39 29 28 SP SD: 1.0681 c. M:-1.8543 c. 229: 40 28 21 43 40 29 28 SP SD: 0.9102 c. M: 1.5246 c. 244: 43 30 22 46 42 31 30 SP SD: 0.8362 c. M:-1.5985 c. 262: 46 32 24 49 46 33 32 SP SD: 0.8361 c. M: 1.5412 c. 268: 47 33 24 51 46 34 33 SP SD: 0.8331 c. M: 1.1675 c. 272: 48 33 25 51 47 35 33 SP SD: 0.7218 c. M:-1.0803 c. 296: 52 36 27 56 51 38 36 SP SD: 0.5222 c. M: 0.9038 c. 329: 58 40 30 62 57 42 40 SP SD: 0.3320 c. M:-0.6970 c. 386: 68 47 35 73 67 49 47 SP SD: 0.3399 c. M:-0.6506 c. 393: 69 48 36 74 68 50 48 SP SD: 0.2968 c. M:-0.6088 c. 450: 79 55 41 85 78 57 55 SP SD: 0.2560 c. M: 0.4649 c. 597: 105 73 54 113 103 76 73 SP SD: 0.2629 c. M: 0.4013 c. 682: 120 83 62 129 118 87 83 SP SD: 0.2557 c. M:-0.5526 c. 705: 124 86 64 133 122 90 86 SP SD: 0.2551 c. M: 0.4783 c. 722: 127 88 66 136 125 92 88 SP SD: 0.2236 c. M:-0.4692 c. 746: 131 91 68 141 129 95 91 SP SD: 0.2234 c. M: 0.4077 c. 762: 134 93 69 144 132 97 93 SP SD: 0.2007 c. M: 0.4251 c. 779: 137 95 71 147 135 99 95 SP SD: 0.1575 c. M:-0.2522 c. 859: 151 105 78 162 149 109 105 SP SD: 0.1549 c. M: 0.2456 c. 1155: 203 141 105 218 200 147 141 SP SD: 0.1227 c. M: 0.2225 c. 1188: 209 145 108 224 206 151 145 SP SD: 0.1251 c. M: 0.2150 c. 1376: 242 168 125 260 238 175 168 SP SD: 0.0952 c. M:-0.1697 c. 1705: 300 208 155 322 295 217 208 SP SD: 0.1008 c. M:-0.2007 c. 1762: 310 215 160 333 305 224 215 SP SD: 0.1117 c. M:-0.1692 c. 1769: 311 216 161 334 306 225 216 SP SD: 0.1042 c. M: 0.1649 c. 1785: 314 218 162 337 309 227 218 SP SD: 0.0933 c. M:-0.2292 c. 2022: 356 246 184 382 350 257 247 SP SD: 0.0874 c. M: 0.1478 c. 2086: 367 254 190 394 361 265 255 SP SD: 0.0817 c. M: 0.1791 c. 2119: 373 258 193 400 367 269 259 SP SD: 0.0708 c. M:-0.1001 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: 4.4054 cents 3 x x 4 x 5 x 6 S SD: 11.8538 cents 4 x 5 x 6:7 x 8 S SD: 18.5843 cents 5 x 6 x 7:8:9:10 S SD: 30.2483 cents 6:7 x 8:9:10:11:12 S SD: 11.1374 cents 7:8 x 9:10:12:13:14 S SD: 15.3568 cents 8:9:10 x 12:13:15:16 SD: 12.7207 cents 9:10:11:12:13:15:17:18 SD: 12.4989 cents 10:11:12:13:15:17:18:20 SD: 10.7857 cents 11:12 x 14:16:19:20:22 SD: 17.0241 cents 12:14:15:16:18:20:22:24 S SD: 10.4006 cents 13:15:16:17:19:22:24:26 SD: 7.5844 cents 16:18:20:21:24:27:29:32 SD: 5.6694 cents 22:25:27:29:33:37:40:44 SD: 3.6864 cents 30:34:37:39:45:50:55:60 SD: 3.4499 cents 31:35:38:41:46:52:57:62 SD: 3.0599 cents 32:36:39:42:48:54:59:64 SD: 2.9570 cents 38:43:47:50:57:64:70:76 SD: 2.4374 cents 39:44:48:51:58:66:72:78 SD: 2.0837 cents 48:54:59:63:72:81:88:96 SD: 1.9616 cents 55:62:68:72:82:93:101:110 SD: 1.9584 cents 61:69:75:80:91:103:112:122 SD: 1.0293 cents 91:103:112:119:136:153:167:182 SD: 0.8222 cents 100:113:123:131:149:168:184:200 SD: 0.6737 cents 122:138:150:160:182:205:224:244 SD: 0.6638 cents 130:147:160:170:194:219:239:260 SD: 0.5732 cents 148:167:182:194:221:249:272:296 SD: 0.4404 cents 161:182:198:211:240:271:296:322 SD: 0.4386 cents 201:227:247:263:300:338:369:402 SD: 0.3529 cents 223:252:274:292:333:375:410:446 SD: 0.2882 cents 240:271:295:314:358:404:441:480 SD: 0.2693 cents 262:296:322:343:391:441:481:524 SD: 0.2568 cents 278:314:342:364:415:468:511:556 SD: 0.2410 cents 284:321:349:372:424:478:522:568 SD: 0.2248 cents 362:409:445:474:540:609:665:724 SD: 0.1510 cents 463:523:569:606:691:779:851:926 SD: 0.1300 cents 524:592:644:686:782:882:963:1048 SD: 0.1067 cents