Scala analysis: CD02_10_Egypt
Ayez Pitié de moi / Les mains du Zéphyr ont agité - Darwîsh Muhammad al-Harîrî (sikah arabi, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 110.472 cents 110.471565 2: 331.827 cents 331.827122 3: 478.797 cents 478.797154 4: 620.701 cents 620.700707 5: 818.117 cents 818.116778 6: 946.047 cents 946.046501 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 253.9535 cents 253.9535 1: 110.4716 cents 110.4716 2: 221.3556 cents 221.3556 3: 146.9700 cents 146.9700 4: 141.9036 cents 141.9036 5: 197.4161 cents 197.4161 6: 127.9297 cents 127.9297 7: 253.9535 cents 253.9535
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 110.47156 cents 1: 1 127.92972 cents 1: 1 141.90355 cents 1: 1 146.97003 cents 1: 1 197.41607 cents 1: 1 221.35556 cents 1: 1 253.95350 cents 2: 1 288.87359 cents 2: 1 325.34579 cents 2: 1 331.82712 cents 2: 1 339.31962 cents 2: 1 364.42506 cents 2: 1 368.32559 cents 2: 1 381.88322 cents 3: 1 467.24935 cents 3: 1 478.79715 cents 3: 1 486.28966 cents 3: 1 492.35479 cents 3: 1 510.22914 cents 3: 1 579.29929 cents 3: 1 585.78062 cents 4: 1 614.21938 cents 4: 1 620.70071 cents 4: 1 689.77086 cents 4: 1 707.64521 cents 4: 1 713.71034 cents 4: 1 721.20285 cents 4: 1 732.75065 cents 5: 1 818.11678 cents 5: 1 831.67441 cents 5: 1 835.57494 cents 5: 1 860.68038 cents 5: 1 868.17288 cents 5: 1 874.65421 cents 5: 1 911.12641 cents 6: 1 946.04650 cents 6: 1 978.64444 cents 6: 1 1002.58393 cents 6: 1 1053.02997 cents 6: 1 1058.09645 cents 6: 1 1072.07028 cents 6: 1 1089.52843 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 : 110.5 331.8 478.8 620.7 818.1 946.0 1200.0 110.5 : 221.4 368.3 510.2 707.6 835.6 1089.5 1200.0 331.8 : 147.0 288.9 486.3 614.2 868.2 978.6 1200.0 478.8 : 141.9 339.3 467.2 721.2 831.7 1053.0 1200.0 620.7 : 197.4 325.3 579.3 689.8 911.1 1058.1 1200.0 818.1 : 127.9 381.9 492.4 713.7 860.7 1002.6 1200.0 946.0 : 254.0 364.4 585.8 732.8 874.7 1072.1 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 110.4716 .. 253.9535 cents 143.48193 cents 110.47156 cents 2: 288.8736 .. 381.8832 cents 93.00964 cents 34.92009 cents 3: 467.2493 .. 585.7806 cents 118.53127 cents 85.36613 cents 4: 614.2194 .. 732.7507 cents 118.53127 cents 28.43876 cents 5: 818.1168 .. 911.1264 cents 93.00964 cents 85.36613 cents 6: 946.0465 .. 1089.5284 cents 143.48193 cents 34.92009 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 110.47156 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 253.95350 cents Average / Smallest step : 1.551789 Largest / Average step : 1.481395 Largest / Smallest step : 2.298813 Median interval of one step : 146.97003 cents, amount: 1 Least squares average step : 163.28702 cents, oct.: 1143.00915 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : AFDCEBG Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 28.43876 cents Scale diversity : 1.577448 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.408295 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 : 3.90052 cents Number of recognisable fifths : 3, average 703.7088 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 126.0238 cents: 6 -- Rational properties --
FIT/MODE
7: 0 1 1 1 1 1 2 N T3 SD: 115.3688 c. M: 160.3986 c. 8: 1 1 1 1 1 1 2 P M ME S SD: 38.9018 c. M: 68.1168 c. 9: 1 2 1 1 1 1 2 N D3 S SD: 39.1829 c. M:-68.1729 c. 10: 1 2 1 1 2 1 2 P M ME S SD: 16.8525 c. M:-28.1729 c. 15: 1 3 2 2 2 2 3 SP D3 S SD: 16.7555 c. M: 30.4716 c. 19: 2 3 3 2 3 2 4 SP D3 SD: 13.8223 c. M:-26.4660 c. 21: 2 4 2 3 3 3 4 SP T3 SD: 15.3042 c. M:-25.3821 c. 22: 2 4 3 2 4 2 5 P SD: 11.6516 c. M: 20.7007 c. 23: 2 4 3 3 4 2 5 SP S SD: 10.8900 c. M: 18.7836 c. 25: 2 5 3 3 4 3 5 SP SD: 7.9134 c. M: 14.4716 c. 29: 3 5 4 3 5 3 6 SP SD: 9.4455 c. M:-17.7546 c. 32: 3 6 4 4 5 3 7 P SD: 8.5747 c. M:-16.7993 c. 33: 3 6 4 4 5 4 7 SP SD: 7.5062 c. M: 18.1168 c. 35: 3 7 4 4 6 4 7 SP SD: 7.6618 c. M:-13.9535 c. 37: 3 7 5 4 6 4 8 SP SD: 7.4908 c. M: 13.1743 c. 41: 4 7 5 5 7 4 9 SP S SD: 7.3652 c. M: 10.5045 c. 42: 4 8 5 5 7 4 9 P SD: 7.2257 c. M:-11.0300 c. 43: 4 8 5 5 7 5 9 SP SD: 4.7937 c. M: 8.8145 c. 47: 4 9 6 5 8 5 10 SP SD: 5.0066 c. M: 8.3439 c. 54: 5 10 7 6 9 6 11 SP SD: 5.5306 c. M:-10.0917 c. 56: 5 10 7 7 9 6 12 SP SD: 5.3303 c. M: 10.3986 c. 58: 5 11 7 7 10 6 12 SP SD: 5.0776 c. M:-9.4694 c. 62: 6 11 8 7 10 7 13 SP SD: 3.7803 c. M:-5.6575 c. 66: 6 12 8 8 11 7 14 SP SD: 3.0751 c. M: 6.0699 c. 75: 7 14 9 9 12 8 16 SP SD: 2.4128 c. M:-4.1729 c. 95: 9 17 12 11 16 10 20 SP SD: 2.2932 c. M: 3.4061 c. 98: 9 18 12 12 16 10 21 SP SD: 2.1673 c. M:-3.7891 c. 108: 10 20 13 13 18 11 23 SP SD: 1.9069 c. M:-4.1054 c. 120: 11 22 15 14 20 13 25 SP SD: 1.8775 c. M:-3.9535 c. 122: 11 23 15 14 20 13 26 SP SD: 2.0421 c. M:-3.1701 c. 123: 11 23 15 15 20 13 26 SP SD: 1.9336 c. M:-3.6895 c. 131: 12 24 16 16 21 14 28 SP SD: 2.0693 c. M: 2.8496 c. 133: 12 25 16 16 22 14 28 SP SD: 1.8145 c. M:-2.9359 c. 141: 13 26 17 17 23 15 30 SP SD: 1.0875 c. M: 2.2014 c. 151: 14 28 18 18 25 16 32 SP SD: 1.1536 c. M: 1.9760 c. 170: 16 31 21 20 28 18 36 SP SD: 1.0891 c. M:-2.4696 c. 185: 17 34 23 22 30 20 39 SP SD: 1.0798 c. M:-2.0020 c. 188: 17 35 23 22 31 20 40 SP SD: 1.1546 c. M: 1.9609 c. 195: 18 36 24 23 32 21 41 SP SD: 0.8698 c. M:-1.6458 c. 216: 20 40 26 26 35 23 46 SP SD: 1.2364 c. M: 1.6021 c. 217: 20 40 27 25 36 23 46 SP SD: 1.0309 c. M:-2.3088 c. 228: 21 42 28 27 37 25 48 SP SD: 1.0264 c. M: 2.3273 c. 236: 22 43 29 28 39 25 50 SP SD: 0.8331 c. M:-1.3928 c. 261: 24 48 32 31 43 28 55 SP SD: 0.5720 c. M:-1.0799 c. 336: 31 62 41 40 55 36 71 SP SD: 0.3689 c. M:-0.7279 c. 478: 44 88 59 56 79 51 101 SP SD: 0.4334 c. M:-0.7008 c. 481: 44 89 59 57 79 51 102 SP SD: 0.3939 c. M: 0.7003 c. 491: 45 91 60 58 81 52 104 SP SD: 0.3857 c. M:-0.6205 c. 524: 48 97 64 62 86 56 111 SP SD: 0.3307 c. M: 0.5595 c. 553: 51 102 68 65 91 59 117 SP SD: 0.3106 c. M:-0.7688 c. 619: 57 114 76 73 102 66 131 SP SD: 0.1803 c. M: 0.3453 c. 694: 64 128 85 82 114 74 147 SP SD: 0.1712 c. M: 0.2493 c. 955: 88 176 117 113 157 102 202 SP SD: 0.0872 c. M:-0.1315 c. 1446: 133 267 177 171 238 154 306 SP SD: 0.0832 c. M:-0.1405 c. 2055: 189 379 252 243 338 219 435 SP SD: 0.0750 c. M: 0.1483 c. 2065: 190 381 253 244 340 220 437 SP SD: 0.0519 c. M:-0.0915 c. 2206: 203 407 270 261 363 235 467 SP SD: 0.0539 c. M: 0.1027 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: 40.6271 cents 3 x x 4 x x 5:6 S SD: 21.5403 cents 4 x 5 x 6 x 7:8 S SD: 25.1122 cents 5 x 6 x 7:8:9:10 S SD: 16.5642 cents 6 x 7:8:9 x 10:12 S SD: 24.4928 cents 7 x 8:9:10:11:12:14 S SD: 19.3564 cents 8:9:10 x 11:13:14:16 SD: 22.0697 cents 9:10:11:12:13:14:16:18 S SD: 15.2366 cents 10:11:12:13:14:16:17:20 SD: 11.1292 cents 12:13:15:16:17:19:21:24 SD: 10.5657 cents 13:14:16:17:19:21:22:26 SD: 9.0299 cents 14:15:17:18:20:22:24:28 SD: 8.3984 cents 15:16:18:20:21:24:26:30 SD: 6.6250 cents 18:19:22:24:26:29:31:36 SD: 5.0150 cents 25:27:30:33:36:40:43:50 SD: 4.4412 cents 28:30:34:37:40:45:48:56 SD: 2.4776 cents 44:47:53:58:63:71:76:88 SD: 2.0844 cents 47:50:57:62:67:75:81:94 SD: 1.8048 cents 56:60:68:74:80:90:97:112 SD: 1.8023 cents 60:64:73:79:86:96:104:120 SD: 1.6406 cents 62:66:75:82:89:99:107:124 SD: 1.6197 cents 63:67:76:83:90:101:109:126 SD: 1.3377 cents 76:81:92:100:109:122:131:152 SD: 0.9173 cents 91:97:110:120:130:146:157:182 SD: 0.7351 cents 109:116:132:144:156:175:188:218 SD: 0.7315 cents 123:131:149:162:176:197:212:246 SD: 0.7267 cents 132:141:160:174:189:212:228:264 SD: 0.6482 cents 151:161:183:199:216:242:261:302 SD: 0.3824 cents 195:208:236:257:279:313:337:390 SD: 0.3811 cents 213:227:258:281:305:342:368:426 SD: 0.3064 cents 227:242:275:299:325:364:392:454 SD: 0.2997 cents 260:277:315:343:372:417:449:520 SD: 0.1993 cents 336:358:407:443:481:539:580:672 SD: 0.1764 cents 364:388:441:480:521:584:629:728 SD: 0.1490 cents 440:469:533:580:630:706:760:880 SD: 0.1481 cents 455:485:551:600:651:730:786:910 SD: 0.1204 cents 487:519:590:642:697:781:841:974 SD: 0.1113 cents