Scala analysis: CD07_16_bayati_Egypt
Pièce instrumentale, samâ'î - Taha Abû Mandûr (bayati, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 143.155 cents 143.154669 2: 281.426 cents 281.426306 3: 476.989 cents 476.988795 4: 694.783 cents 694.783449 5: 982.986 cents 982.985851 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 217.0141 cents 217.0141 1: 143.1547 cents 143.1547 2: 138.2716 cents 138.2716 3: 195.5625 cents 195.5625 4: 217.7947 cents 217.7947 5: 288.2024 cents 288.2024 6: 217.0141 cents 217.0141
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 138.27164 cents 1: 1 143.15467 cents 1: 1 195.56249 cents 1: 1 217.01415 cents 1: 1 217.79465 cents 1: 1 288.20240 cents 2: 1 281.42631 cents 2: 1 333.83413 cents 2: 1 360.16882 cents 2: 1 413.35714 cents 2: 1 505.21655 cents 2: 1 505.99706 cents 3: 1 476.98879 cents 3: 1 498.44046 cents 3: 1 551.62878 cents 3: 1 648.37122 cents 3: 1 701.55954 cents 3: 1 723.01120 cents 4: 1 694.00294 cents 4: 1 694.78345 cents 4: 1 786.64286 cents 4: 1 839.83118 cents 4: 1 866.16587 cents 4: 1 918.57369 cents 5: 1 911.79760 cents 5: 1 982.20535 cents 5: 1 982.98585 cents 5: 1 1004.43751 cents 5: 1 1056.84533 cents 5: 1 1061.72836 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 6.00000 = 6
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 143.2 281.4 477.0 694.8 983.0 1200.0 143.2 : 138.3 333.8 551.6 839.8 1056.8 1200.0 281.4 : 195.6 413.4 701.6 918.6 1061.7 1200.0 477.0 : 217.8 506.0 723.0 866.2 1004.4 1200.0 694.8 : 288.2 505.2 648.4 786.6 982.2 1200.0 983.0 : 217.0 360.2 498.4 694.0 911.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 138.2716 .. 288.2024 cents 149.93076 cents 138.27164 cents 2: 281.4263 .. 505.9971 cents 224.57075 cents -6.77610 cents 3: 476.9888 .. 723.0112 cents 246.02241 cents -29.00826 cents 4: 694.0029 .. 918.5737 cents 224.57075 cents -29.00826 cents 5: 911.7976 .. 1061.7284 cents 149.93076 cents -6.77610 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 138.27164 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 288.20240 cents Average / Smallest step : 1.446428 Largest / Average step : 1.441012 Largest / Smallest step : 2.084320 Median interval of one step : 206.28832 cents, amount: 0 Least squares average step : 187.15425 cents, oct.: 1122.92550 cents Scale is not proper Step pattern alph. order: ABCDEF Step pattern size order : BACEFD Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 6.77610 cents Scale diversity : 1.568036 Lumma stability : 0.230453 Lumma impropriety factor : 0.059641 Rothenberg efficiency : 0.333333 redundancy: 0.666667 Efficiency x scale size : 2.000000 Number of different interval sizes : 30 = 6.00000 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 6.00000 = 6 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 0.78050 cents Number of recognisable fifths : 3, average 696.7820 cents Formal octave complements present : 1 = 16.6667% -- Rational properties --
FIT/MODE
6: 1 0 1 1 2 1 N D3 SD: 64.6301 c. M: 94.7834 c. 7: 1 1 1 1 2 1 P M ME SD: 36.7979 c. M:-61.4308 c. 10: 1 1 2 2 2 2 P D3 S SD: 23.8941 c. M: 41.4263 c. 12: 1 2 2 2 3 2 P T3 SD: 22.5592 c. M: 43.1547 c. Raga Gandharavam, Sabai silt: Ethiopia 14: 2 1 3 2 3 3 P SD: 27.3030 c. M: 40.1287 c. 15: 2 2 2 3 3 3 P SD: 22.1547 c. M:-38.5737 c. 16: 2 2 2 3 4 3 N SD: 16.2039 c. M: 26.9888 c. 17: 2 2 3 3 4 3 P SD: 8.6498 c. M:-17.1289 c. 26: 3 3 4 5 6 5 N SD: 8.9102 c. M: 15.4503 c. 31: 4 3 5 6 7 6 N SD: 10.3102 c. M: 15.2439 c. 33: 4 4 5 6 8 6 N SD: 4.6502 c. M:-9.4828 c. 43: 5 5 7 8 10 8 N SD: 3.4780 c. M: 6.2417 c. 50: 6 6 8 9 12 9 N SD: 3.0415 c. M:-6.5737 c. 60: 7 7 10 11 14 11 N SD: 3.0871 c. M:-5.2166 c. 73: 9 8 12 13 18 13 N SD: 3.0831 c. M:-4.7905 c. 76: 9 9 12 14 18 14 N SD: 2.4524 c. M: 4.0385 c. 90: 11 10 15 16 22 16 N SD: 2.5524 c. M:-3.6808 c. 93: 11 11 15 17 22 17 N SD: 1.6877 c. M:-2.4447 c. 111: 13 13 18 20 27 20 N SD: 1.7163 c. M: 2.8916 c. 116: 14 13 19 21 28 21 N SD: 1.3796 c. M: 2.1160 c. 128: 15 15 21 23 31 23 N SD: 1.3366 c. M: 2.5297 c. 133: 16 15 22 24 32 24 N SD: 1.0099 c. M: 1.7271 c. 166: 20 19 27 30 40 30 N SD: 0.7031 c. M:-1.4236 c. 209: 25 24 34 38 50 38 N SD: 0.5339 c. M: 1.1677 c. 226: 27 26 37 41 54 41 N SD: 0.5667 c. M:-0.8873 c. 294: 35 34 48 53 71 53 N SD: 0.5386 c. M: 0.9059 c. 320: 38 37 52 58 77 58 N SD: 0.6204 c. M: 1.0334 c. 325: 39 37 53 59 78 59 N SD: 0.6982 c. M:-0.8453 c. 337: 40 39 55 61 81 61 N SD: 0.3600 c. M: 0.7214 c. 453: 54 52 74 82 109 82 N SD: 0.4151 c. M: 0.7437 c. 470: 56 54 77 85 113 85 N SD: 0.3345 c. M: 0.5752 c. 503: 60 58 82 91 121 91 N SD: 0.2372 c. M: 0.5489 c. 554: 66 64 90 101 133 100 N SD: 0.3442 c. M:-0.5234 c. 563: 67 65 92 102 135 102 N SD: 0.2861 c. M:-0.4535 c. 596: 71 69 97 108 143 108 N SD: 0.2874 c. M:-0.4529 c. 636: 76 73 104 115 153 115 N SD: 0.2827 c. M: 0.4438 c. 679: 81 78 111 123 163 123 N SD: 0.2585 c. M: 0.4248 c. 687: 82 79 112 125 165 124 N SD: 0.2621 c. M:-0.4203 c. 712: 85 82 116 129 171 129 N SD: 0.2362 c. M: 0.4016 c. 720: 86 83 117 131 173 130 N SD: 0.2453 c. M:-0.3475 c. 729: 87 84 119 132 175 132 N SD: 0.1996 c. M:-0.3775 c. 845: 101 97 138 153 203 153 N SD: 0.2430 c. M: 0.3456 c. 848: 101 98 138 154 204 153 N SD: 0.2417 c. M:-0.5047 c. 853: 102 98 139 155 205 154 N SD: 0.2205 c. M:-0.3670 c. 891: 106 103 145 162 214 161 N SD: 0.2108 c. M: 0.3937 c. 895: 107 103 146 162 215 162 N SD: 0.2334 c. M:-0.3296 c. 896: 107 103 146 163 215 162 N SD: 0.1782 c. M:-0.3058 c. 946: 113 109 154 172 227 171 N SD: 0.1842 c. M:-0.3540 c. 1007: 120 116 164 183 242 182 N SD: 0.1769 c. M: 0.3254 c. 1024: 122 118 167 186 246 185 N SD: 0.1490 c. M:-0.2173 c. 1057: 126 122 172 192 254 191 N SD: 0.1197 c. M:-0.1740 c. 1190: 142 137 194 216 286 215 N SD: 0.0926 c. M:-0.2074 c. 1233: 147 142 201 224 296 223 N SD: 0.0968 c. M: 0.1611 c. 1266: 151 146 206 230 304 229 N SD: 0.0965 c. M: 0.2115 c. 1283: 153 148 209 233 308 232 N SD: 0.0780 c. M:-0.1503 c. 1399: 167 161 228 254 336 253 N SD: 0.0590 c. M:-0.0905 c. 1736: 207 200 283 315 417 314 N SD: 0.0602 c. M: 0.0899 c. 1786: 213 206 291 324 429 323 N SD: 0.0521 c. M:-0.0967 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 3.5858 cents 3 x x 4 x 5:6 S SD: 33.6166 cents 4 x x 5:6:7:8 S SD: 23.0135 cents 5 x 6:7 x 9:10 SD: 29.0514 cents 6 x 7:8:9:11:12 SD: 14.3005 cents 7 x 8:9:10:12:14 S SD: 22.5757 cents 8:9 x 11:12:14:16 SD: 19.4607 cents 9:10:11:12:13:16:18 SD: 16.5768 cents 10:11:12:13:15:18:20 SD: 9.7412 cents 12:13:14:16:18:21:24 S SD: 5.0776 cents 22:24:26:29:33:39:44 SD: 2.5631 cents 34:37:40:45:51:60:68 SD: 1.9043 cents 47:51:55:62:70:83:94 SD: 1.8632 cents 57:62:67:75:85:101:114 SD: 1.4483 cents 69:75:81:91:103:122:138 SD: 0.9950 cents 91:99:107:120:136:161:182 SD: 0.9928 cents 101:110:119:133:151:178:202 SD: 0.9693 cents 107:116:126:141:160:189:214 SD: 0.7631 cents 136:148:160:179:203:240:272 SD: 0.6285 cents 148:161:174:195:221:261:296 SD: 0.5175 cents 152:165:179:200:227:268:304 SD: 0.4995 cents 164:178:193:216:245:289:328 SD: 0.4287 cents 186:202:219:245:278:328:372 SD: 0.3160 cents 221:240:260:291:330:390:442 SD: 0.1745 cents 255:277:300:336:381:450:510 SD: 0.1273 cents 476:517:560:627:711:840:952 SD: 0.0620 cents