Scala analysis: CD08_09_Egypt
Suite - Mustafa Fahreddin Dede (saba, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 48.399 cents 48.399080 2: 286.870 cents 286.870035 3: 479.408 cents 479.408250 4: 644.362 cents 644.361944 5: 781.393 cents 781.393261 6: 979.095 cents 979.094970 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 220.9050 cents 220.9050 1: 48.3991 cents 48.3991 2: 238.4710 cents 238.4710 3: 192.5382 cents 192.5382 4: 164.9537 cents 164.9537 5: 137.0313 cents 137.0313 6: 197.7017 cents 197.7017 7: 220.9050 cents 220.9050
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 48.39908 cents 1: 1 137.03132 cents 1: 1 164.95369 cents 1: 1 192.53822 cents 1: 1 197.70171 cents 1: 1 220.90503 cents 1: 1 238.47095 cents 2: 1 269.30411 cents 2: 1 286.87003 cents 2: 1 301.98501 cents 2: 1 334.73303 cents 2: 1 357.49191 cents 2: 1 418.60674 cents 2: 1 431.00917 cents 3: 1 467.00582 cents 3: 1 479.40825 cents 3: 1 494.52323 cents 3: 1 499.68672 cents 3: 1 507.77506 cents 3: 1 555.63806 cents 3: 1 595.96286 cents 4: 1 604.03714 cents 4: 1 644.36194 cents 4: 1 692.22493 cents 4: 1 700.31328 cents 4: 1 705.47677 cents 4: 1 720.59175 cents 4: 1 732.99418 cents 5: 1 768.99083 cents 5: 1 781.39326 cents 5: 1 842.50809 cents 5: 1 865.26697 cents 5: 1 898.01499 cents 5: 1 913.12997 cents 5: 1 930.69589 cents 6: 1 961.52905 cents 6: 1 979.09497 cents 6: 1 1002.29829 cents 6: 1 1007.46178 cents 6: 1 1035.04631 cents 6: 1 1062.96868 cents 6: 1 1151.60092 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 : 48.4 286.9 479.4 644.4 781.4 979.1 1200.0 48.4 : 238.5 431.0 596.0 733.0 930.7 1151.6 1200.0 286.9 : 192.5 357.5 494.5 692.2 913.1 961.5 1200.0 479.4 : 165.0 302.0 499.7 720.6 769.0 1007.5 1200.0 644.4 : 137.0 334.7 555.6 604.0 842.5 1035.0 1200.0 781.4 : 197.7 418.6 467.0 705.5 898.0 1063.0 1200.0 979.1 : 220.9 269.3 507.8 700.3 865.3 1002.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 48.3991 .. 238.4710 cents 190.07187 cents 48.39908 cents 2: 269.3041 .. 431.0092 cents 161.70506 cents 30.83315 cents 3: 467.0058 .. 595.9629 cents 128.95705 cents 35.99665 cents 4: 604.0371 .. 732.9942 cents 128.95705 cents 8.07427 cents 5: 768.9908 .. 930.6959 cents 161.70506 cents 35.99665 cents 6: 961.5290 .. 1151.6009 cents 190.07187 cents 30.83315 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 48.39908 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 238.47095 cents Average / Smallest step : 3.541980 Largest / Average step : 1.391081 Largest / Smallest step : 4.927180 Median interval of one step : 192.53822 cents, amount: 1 Least squares average step : 162.99534 cents, oct.: 1140.96739 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : AGDCBEF Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 8.07427 cents Scale diversity : 1.720783 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.198777 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 : 5.16349 cents Number of recognisable fifths : 3, average 699.3383 cents Best fifths form a closed circle Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 0 1 1 1 1 1 2 N T3 SD: 103.6905 c. M: 136.5511 c. 8: 0 2 1 1 1 1 2 P D3 S SD: 42.4083 c. M: 79.0950 c. 9: 0 2 2 1 1 1 2 N T3 SD: 35.0436 c. M:-53.9251 c. 10: 0 2 2 1 1 2 2 P D3 S SD: 38.9897 c. M: 61.3933 c. 11: 0 2 2 2 1 2 2 N T3 SD: 36.5275 c. M: 68.6882 c. 12: 1 2 2 2 1 2 2 P M ME S SD: 31.9327 c. M:-55.6381 c. G.Dorian, M.Phrygian, G.M.Hypoaeolian, Bhairavi That, Mela Hanumatodi, Raga Asavari (Asaveri), Bilashkhani Todi, Ghanta, Makam Kurd, Gregorian nr.3, In, Zokuso: Japan, Ousak: Greece, Major inverse 13: 0 3 2 2 1 2 3 N SD: 33.2633 c. M: 56.0180 c. 14: 0 3 2 2 2 2 3 P T3 S SD: 36.2354 c. M: 50.8368 c. 15: 1 3 2 2 2 2 3 SP D3 S SD: 20.0941 c. M:-33.1300 c. 17: 1 3 3 2 2 3 3 SP D3 S SD: 11.4588 c. M:-22.1892 c. 20: 1 4 3 3 2 3 4 P SD: 11.4545 c. M: 19.0950 c. 22: 1 4 4 3 2 4 4 P SD: 10.6670 c. M: 17.7569 c. 26: 1 5 4 4 3 4 5 P SD: 8.7359 c. M: 17.8698 c. 28: 1 6 4 4 3 5 5 P SD: 7.6733 c. M:-13.1300 c. 37: 1 8 6 5 4 6 7 N SD: 7.5138 c. M: 15.9666 c. 42: 2 8 7 6 4 7 8 P SD: 7.9190 c. M:-12.7809 c. 43: 2 8 7 6 5 7 8 SP SD: 4.6676 c. M: 7.8003 c. 50: 2 10 8 7 6 8 9 P SD: 4.6535 c. M:-10.6067 c. 54: 2 11 9 7 6 9 10 P SD: 4.2158 c. M:-9.4806 c. 58: 2 12 9 8 7 9 11 P SD: 4.5719 c. M: 7.0198 c. 60: 2 12 10 8 7 10 11 P SD: 4.4702 c. M: 8.3991 c. 67: 3 13 11 9 8 11 12 SP SD: 4.2479 c. M:-6.6664 c. 71: 3 14 11 10 8 12 13 SP SD: 3.0440 c. M: 6.1688 c. 72: 3 14 12 10 8 12 13 P SD: 3.4640 c. M:-5.6381 c. 75: 3 15 12 10 9 12 14 SP SD: 2.3049 c. M: 4.3619 c. 80: 3 16 13 11 9 13 15 P SD: 2.2206 c. M: 4.0950 c. 97: 4 19 16 13 11 16 18 SP SD: 1.8653 c. M:-3.0660 c. 123: 5 24 20 17 14 20 23 SP SD: 2.0949 c. M: 3.9432 c. 125: 5 25 20 17 14 21 23 SP SD: 1.5828 c. M: 3.7933 c. 141: 6 28 22 20 16 23 26 SP SD: 2.0653 c. M: 2.8125 c. 143: 6 28 23 20 16 24 26 SP SD: 1.6466 c. M:-2.7232 c. 147: 6 29 24 20 17 24 27 SP SD: 1.3285 c. M:-2.2802 c. 151: 6 30 24 21 17 25 28 SP SD: 1.5820 c. M: 2.5871 c. 158: 6 32 25 22 18 26 29 P SD: 1.4418 c. M: 2.8295 c. 173: 7 34 28 24 20 28 32 SP SD: 1.4296 c. M: 2.4770 c. 175: 7 35 28 24 20 29 32 SP SD: 0.7665 c. M:-1.4765 c. 218: 9 43 35 30 25 36 40 SP SD: 0.6159 c. M:-1.1422 c. 255: 10 51 41 35 29 42 47 SP SD: 0.5881 c. M: 1.3403 c. 298: 12 59 48 41 34 49 55 SP SD: 0.4385 c. M: 0.9640 c. 376: 15 75 60 52 43 62 69 SP SD: 0.4974 c. M:-0.6923 c. 393: 16 78 63 54 45 65 72 SP SD: 0.4535 c. M:-1.0577 c. 468: 19 93 75 64 54 77 86 SP SD: 0.4451 c. M: 0.7722 c. 473: 19 94 76 65 54 78 87 SP SD: 0.1295 c. M: 0.1961 c. 1359: 55 270 218 187 155 224 250 SP SD: 0.1327 c. M:-0.2297 c. 1384: 56 275 222 190 158 228 255 SP SD: 0.1387 c. M: 0.1932 c. 1434: 58 285 230 197 164 236 264 SP SD: 0.1141 c. M:-0.1967 c. 1439: 58 286 231 198 164 237 265 SP SD: 0.1070 c. M:-0.2524 c. 1585: 64 315 254 218 181 261 292 SP SD: 0.1022 c. M: 0.1675 c. 1657: 67 329 266 228 189 273 305 SP SD: 0.0884 c. M:-0.1764 c. 1685: 68 335 270 232 192 278 310 SP SD: 0.1161 c. M:-0.1484 c. 1689: 68 336 271 232 193 278 311 SP SD: 0.1098 c. M:-0.1655 c. 1732: 70 344 278 238 198 285 319 SP SD: 0.0779 c. M:-0.1310 c. 1760: 71 350 282 242 201 290 324 SP SD: 0.0773 c. M:-0.1754 c. 1907: 77 379 306 262 218 314 351 SP SD: 0.0749 c. M:-0.1484 c. 2058: 83 409 330 283 235 339 379 SP SD: 0.0587 c. M: 0.1080 c. 2205: 89 438 354 303 252 363 406 SP SD: 0.0549 c. M:-0.1033 c. 2233: 90 444 358 307 255 368 411 SP SD: 0.0480 c. M:-0.0982 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: 28.7965 cents 3 x x 4 x x 5:6 S SD: 32.1840 cents 4 x x 5:6 x 7:8 S SD: 27.4875 cents 5 x 6 x 7:8:9:10 S SD: 16.9450 cents 6 x 7:8:9 x 11:12 SD: 18.9756 cents 7 x 8:9:10:11:12:14 S SD: 14.8164 cents 8 x 9:11:12:13:14:16 SD: 22.9569 cents 9 x 11:12:13:14:16:18 SD: 11.3437 cents 16:17:19:21:23:25:28:32 SD: 8.8380 cents 18:19:21:24:26:28:32:36 SD: 8.3434 cents 20:21:24:26:29:31:35:40 SD: 8.3104 cents 21:22:25:28:30:33:37:42 SD: 6.8958 cents 22:23:26:29:32:35:39:44 SD: 5.5138 cents 26:27:31:34:38:41:46:52 SD: 4.7544 cents 28:29:33:37:41:44:49:56 SD: 3.2788 cents 33:34:39:44:48:52:58:66 SD: 2.9430 cents 34:35:40:45:49:53:60:68 SD: 2.8094 cents 35:36:41:46:51:55:62:70 SD: 2.7844 cents 37:38:44:49:54:58:65:74 SD: 2.6742 cents 38:39:45:50:55:60:67:76 SD: 1.9020 cents 60:62:71:79:87:94:106:120 SD: 1.7891 cents 62:64:73:82:90:97:109:124 SD: 1.6293 cents 66:68:78:87:96:104:116:132 SD: 1.2648 cents 72:74:85:95:104:113:127:144 SD: 1.2311 cents 95:98:112:125:138:149:167:190 SD: 1.1658 cents 100:103:118:132:145:157:176:200 SD: 0.4723 cents 179:184:211:236:260:281:315:358 SD: 0.4548 cents 210:216:248:277:305:330:370:420 SD: 0.3960 cents 217:223:256:286:315:341:382:434 SD: 0.3455 cents 244:251:288:322:354:383:430:488 SD: 0.3240 cents 251:258:296:331:364:394:442:502 SD: 0.2975 cents 279:287:329:368:405:438:491:558 SD: 0.2798 cents 288:296:340:380:418:452:507:576 SD: 0.2444 cents 317:326:374:418:460:498:558:634 SD: 0.1529 cents 417:429:492:550:605:655:734:834 SD: 0.1427 cents 426:438:503:562:618:669:750:852 SD: 0.1316 cents 526:541:621:694:763:826:926:1052 SD: 0.1260 cents 561:577:662:740:814:881:988:1122 SD: 0.1176 cents