Scala analysis: CD05_03_bayati_Egypt
Suite - ‘Abduh al-Ḥāmūlī (bayati, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 149.344 cents 149.343608 2: 302.261 cents 302.260523 3: 506.564 cents 506.564458 4: 630.852 cents 630.852116 5: 876.061 cents 876.060824 6: 1002.511 cents 1002.510558 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 197.4894 cents 197.4894 1: 149.3436 cents 149.3436 2: 152.9169 cents 152.9169 3: 204.3039 cents 204.3039 4: 124.2877 cents 124.2877 5: 245.2087 cents 245.2087 6: 126.4497 cents 126.4497 7: 197.4894 cents 197.4894
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 124.28766 cents 1: 1 126.44973 cents 1: 1 149.34361 cents 1: 1 152.91691 cents 1: 1 197.48944 cents 1: 1 204.30394 cents 1: 1 245.20871 cents 2: 1 302.26052 cents 2: 1 323.93918 cents 2: 1 328.59159 cents 2: 1 346.83305 cents 2: 1 357.22085 cents 2: 1 369.49637 cents 2: 1 371.65844 cents 3: 1 473.28278 cents 3: 1 481.50851 cents 3: 1 495.94610 cents 3: 1 499.74996 cents 3: 1 506.56446 cents 3: 1 569.14788 cents 3: 1 573.80030 cents 4: 1 626.19970 cents 4: 1 630.85212 cents 4: 1 693.43554 cents 4: 1 700.25003 cents 4: 1 704.05390 cents 4: 1 718.49149 cents 4: 1 726.71722 cents 5: 1 828.34156 cents 5: 1 830.50363 cents 5: 1 842.77915 cents 5: 1 853.16695 cents 5: 1 871.40841 cents 5: 1 876.06082 cents 5: 1 897.73948 cents 6: 1 954.79129 cents 6: 1 995.69606 cents 6: 1 1002.51056 cents 6: 1 1047.08309 cents 6: 1 1050.65639 cents 6: 1 1073.55027 cents 6: 1 1075.71234 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 : 149.3 302.3 506.6 630.9 876.1 1002.5 1200.0 149.3 : 152.9 357.2 481.5 726.7 853.2 1050.7 1200.0 302.3 : 204.3 328.6 573.8 700.3 897.7 1047.1 1200.0 506.6 : 124.3 369.5 495.9 693.4 842.8 995.7 1200.0 630.9 : 245.2 371.7 569.1 718.5 871.4 1075.7 1200.0 876.1 : 126.4 323.9 473.3 626.2 830.5 954.8 1200.0 1002.5: 197.5 346.8 499.7 704.1 828.3 1073.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 124.2877 .. 245.2087 cents 120.92105 cents 124.28766 cents 2: 302.2605 .. 371.6584 cents 69.39792 cents 57.05182 cents 3: 473.2828 .. 573.8003 cents 100.51752 cents 101.62434 cents 4: 626.1997 .. 726.7172 cents 100.51752 cents 52.39940 cents 5: 828.3416 .. 897.7395 cents 69.39792 cents 101.62434 cents 6: 954.7913 .. 1075.7123 cents 120.92105 cents 57.05182 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 124.28766 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 245.20871 cents Average / Smallest step : 1.379289 Largest / Average step : 1.430384 Largest / Smallest step : 1.972913 Median interval of one step : 152.91691 cents, amount: 1 Least squares average step : 168.51667 cents, oct.: 1179.61670 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : CDFAGBE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 52.39940 cents Scale diversity : 1.485183 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.515273 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 : 2.16208 cents Number of recognisable fifths : 4, average 704.0577 cents Number of appreciable fifths : 3, average 699.2465 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 95.8651 cents: 2 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 29.8625 c. M:-54.8622 c. Lebeng 11: 1 2 2 1 2 1 2 P M ME S SD: 26.0740 c. M: 40.2527 c. Orgone-7 12: 1 2 2 1 3 1 2 P D3 SD: 23.9471 c. M: 49.3436 c. Locrian natural 6, Maqam Tarznauyn 15: 2 2 2 2 3 2 2 SP M ME S SD: 19.4149 c. M:-37.4894 c. 16: 2 2 3 1 4 1 3 P S SD: 19.3729 c. M: 30.8521 c. 17: 2 2 3 2 3 2 3 SP M ME S SD: 15.5038 c. M: 29.0020 c. Safi al-Din's maqam Higazi 19: 2 3 3 2 4 2 3 SP D3 SD: 10.9948 c. M: 23.0278 c. 23: 3 3 4 2 5 2 4 SP S SD: 9.7473 c. M:-15.1747 c. 30: 4 4 5 3 6 3 5 SP S SD: 10.1014 c. M:-17.7395 c. 31: 4 4 5 3 7 3 5 SP S SD: 7.9953 c. M:-14.2618 c. 36: 4 5 6 4 7 4 6 SP SD: 7.6086 c. M: 16.0103 c. 38: 5 5 6 4 8 4 6 SP S SD: 7.4551 c. M:-13.5290 c. 40: 5 5 7 4 8 4 7 SP S SD: 5.4944 c. M: 12.5106 c. 42: 5 6 7 4 9 4 7 SP SD: 7.0811 c. M:-12.0252 c. 45: 6 5 8 5 9 5 7 SP SD: 7.6494 c. M:-10.8228 c. 47: 6 6 8 5 9 5 8 SP S SD: 5.5191 c. M: 7.9757 c. 48: 6 6 8 5 10 5 8 SP S SD: 3.5918 c. M: 6.5645 c. 55: 7 7 9 6 11 6 9 SP S SD: 2.9295 c. M: 4.7463 c. 78: 10 10 13 8 16 8 13 SP S SD: 2.8810 c. M:-5.4318 c. 86: 11 11 14 9 18 9 14 SP S SD: 3.3743 c. M:-4.7162 c. 87: 11 11 15 9 18 9 14 SP SD: 3.7540 c. M:-6.6978 c. 88: 11 11 15 9 18 9 15 SP S SD: 3.4502 c. M: 7.0560 c. 90: 11 12 15 9 19 9 15 SP SD: 3.0689 c. M:-4.4061 c. 95: 12 12 16 10 19 10 16 SP S SD: 2.6570 c. M: 4.6158 c. 97: 12 12 17 10 20 10 16 SP SD: 2.2464 c. M: 5.3533 c. 99: 12 13 17 10 20 11 16 SP SD: 2.5667 c. M: 3.8891 c. 103: 13 13 17 11 21 11 17 SP S SD: 2.5256 c. M: 5.5936 c. 104: 13 13 18 11 21 11 17 SP SD: 1.8323 c. M:-3.7633 c. 114: 14 15 19 12 23 12 19 SP SD: 1.9672 c. M:-3.0026 c. 127: 16 16 22 13 26 13 21 SP SD: 2.0649 c. M:-3.6718 c. 135: 17 17 23 14 28 14 22 SP SD: 1.7913 c. M:-3.9392 c. 144: 18 18 25 15 29 15 24 SP SD: 1.7830 c. M: 2.5106 c. 147: 18 19 25 15 30 16 24 SP SD: 1.7076 c. M: 2.5914 c. 152: 19 19 26 16 31 16 25 SP SD: 1.0584 c. M: 2.2605 c. 171: 21 22 29 18 35 18 28 SP SD: 1.1121 c. M: 1.9752 c. 175: 22 22 30 18 36 18 29 SP SD: 1.0651 c. M:-1.6535 c. 194: 24 25 33 20 40 20 32 SP SD: 1.0254 c. M:-2.2897 c. 211: 26 27 36 22 43 22 35 SP SD: 0.9043 c. M: 1.5627 c. 230: 29 29 39 24 47 24 38 SP SD: 0.8624 c. M:-1.9607 c. 249: 31 32 42 26 51 26 41 SP SD: 0.7030 c. M:-1.3539 c. 263: 33 33 45 27 54 28 43 SP SD: 0.9153 c. M:-1.2917 c. 266: 33 34 45 28 54 28 44 SP SD: 0.7764 c. M: 1.3013 c. 274: 34 35 47 28 56 29 45 SP SD: 0.6060 c. M:-1.4647 c. 299: 37 38 51 31 61 32 49 SP SD: 0.8979 c. M: 1.2572 c. 303: 38 38 52 31 62 32 50 SP SD: 0.8732 c. M: 1.2704 c. 306: 38 39 52 32 62 33 50 SP SD: 0.8724 c. M: 1.5510 c. 310: 39 39 53 32 63 33 51 SP SD: 0.8052 c. M:-1.6241 c. 322: 40 41 55 33 66 34 53 SP SD: 0.4575 c. M: 1.0385 c. 329: 41 42 56 34 67 35 54 SP SD: 0.4164 c. M: 0.6809 c. 377: 47 48 64 39 77 40 62 SP SD: 0.4185 c. M: 0.7293 c. 426: 53 54 73 44 87 45 70 SP SD: 0.3907 c. M: 0.8521 c. 481: 60 61 82 50 98 51 79 SP SD: 0.3171 c. M:-0.4000 c. 504: 63 64 86 52 103 53 83 SP SD: 0.3430 c. M:-0.6564 c. 523: 65 67 89 54 107 55 86 SP SD: 0.3568 c. M:-0.6075 c. 540: 67 69 92 56 110 57 89 SP SD: 0.2986 c. M: 0.5053 c. 571: 71 73 97 59 117 60 94 SP SD: 0.2372 c. M: 0.3793 c. 675: 84 86 115 70 138 71 111 SP SD: 0.1892 c. M:-0.3836 c. 723: 90 92 123 75 148 76 119 SP SD: 0.1914 c. M: 0.3404 c. 900: 112 115 153 93 184 95 148 SP SD: 0.1844 c. M:-0.4061 c. 997: 124 127 170 103 204 105 164 SP SD: 0.1312 c. M:-0.1679 c. 1052: 131 134 179 109 215 111 173 SP SD: 0.0792 c. M:-0.1510 c. 1727: 215 220 294 179 353 182 284 SP SD: 0.0851 c. M:-0.1530 c. 1767: 220 225 301 183 361 186 291 SP SD: 0.0656 c. M: 0.1336 c. 1938: 241 247 330 201 396 204 319 SP SD: 0.0839 c. M: 0.1176 c. 2049: 255 261 349 212 419 216 337 SP SD: 0.0726 c. M:-0.1249 c. 2096: 261 267 357 217 428 221 345 SP SD: 0.0731 c. M:-0.1149 c. 2163: 269 276 368 224 442 228 356 SP SD: 0.0654 c. M: 0.1064 c. 2267: 282 289 386 235 463 239 373 SP SD: 0.0544 c. M:-0.1139 c. 2315: 288 295 394 240 473 244 381 SP SD: 0.0589 c. M: 0.1282 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: 35.5514 cents 3 x x 4 x 5 x 6 S SD: 3.9642 cents 4 x 5 x 6 x 7:8 S SD: 28.7828 cents 5 x 6 x 7:8:9:10 S SD: 16.2898 cents 6 x 7:8:9:10:11:12 S SD: 15.4961 cents 7 x 8:9:10:12:13:14 S SD: 22.5989 cents 8:9:10:11:12:13:14:16 S SD: 19.9480 cents 9:10:11:12:13:15:16:18 SD: 8.2650 cents 11:12:13:15:16:18:20:22 SD: 7.8497 cents 14:15:17:19:20:23:25:28 SD: 7.8074 cents 18:20:21:24:26:30:32:36 SD: 7.2299 cents 20:22:24:27:29:33:36:40 SD: 4.6454 cents 21:23:25:28:30:35:37:42 SD: 4.2096 cents 23:25:27:31:33:38:41:46 SD: 4.0939 cents 32:35:38:43:46:53:57:64 SD: 1.4506 cents 68:74:81:91:98:113:121:136 SD: 1.0177 cents 79:86:94:106:114:131:141:158 SD: 0.7834 cents 100:109:119:134:144:166:178:200 SD: 0.6612 cents 111:121:132:149:160:184:198:222 SD: 0.6589 cents 120:131:143:161:173:199:214:240 SD: 0.6421 cents 121:132:144:162:174:201:216:242 SD: 0.5620 cents 153:167:182:205:220:254:273:306 SD: 0.5484 cents 167:182:199:224:240:277:298:334 SD: 0.5385 cents 168:183:200:225:242:279:300:336 SD: 0.4420 cents 200:218:238:268:288:332:357:400 SD: 0.2730 cents 320:349:381:429:461:531:571:640 SD: 0.2671 cents 357:389:425:478:514:592:637:714 SD: 0.2271 cents 377:411:449:505:543:625:673:754 SD: 0.2219 cents 389:424:463:521:560:645:694:778 SD: 0.1853 cents 398:434:474:533:573:660:710:796 SD: 0.1831 cents 477:520:568:639:687:791:851:954 SD: 0.1404 cents 598:652:712:801:861:992:1067:1196 SD: 0.1058 cents