Scala analysis: CD08_03_bayati_Egypt
Improvisation non mesurée, Nay - Mustafa Fahreddin Dede (bayati, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 156.286 cents 156.286137 2: 294.500 cents 294.499531 3: 494.620 cents 494.620238 4: 712.852 cents 712.852094 5: 872.305 cents 872.304862 6: 1000.347 cents 1000.346833 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 199.6532 cents 199.6532 1: 156.2861 cents 156.2861 2: 138.2134 cents 138.2134 3: 200.1207 cents 200.1207 4: 218.2319 cents 218.2319 5: 159.4528 cents 159.4528 6: 128.0420 cents 128.0420 7: 199.6532 cents 199.6532
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 128.04197 cents 1: 1 138.21339 cents 1: 1 156.28614 cents 1: 1 159.45277 cents 1: 1 199.65317 cents 1: 1 200.12071 cents 1: 1 218.23186 cents 2: 1 287.49474 cents 2: 1 294.49953 cents 2: 1 327.69514 cents 2: 1 338.33410 cents 2: 1 355.93930 cents 2: 1 377.68462 cents 2: 1 418.35256 cents 3: 1 483.98128 cents 3: 1 487.14791 cents 3: 1 494.15270 cents 3: 1 494.62024 cents 3: 1 505.72660 cents 3: 1 556.56596 cents 3: 1 577.80533 cents 4: 1 622.19467 cents 4: 1 643.43404 cents 4: 1 694.27341 cents 4: 1 705.37976 cents 4: 1 705.84730 cents 4: 1 712.85209 cents 4: 1 716.01872 cents 5: 1 781.64744 cents 5: 1 822.31538 cents 5: 1 844.06070 cents 5: 1 861.66590 cents 5: 1 872.30486 cents 5: 1 905.50047 cents 5: 1 912.50526 cents 6: 1 981.76814 cents 6: 1 999.87929 cents 6: 1 1000.34683 cents 6: 1 1040.54723 cents 6: 1 1043.71386 cents 6: 1 1061.78661 cents 6: 1 1071.95803 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 : 156.3 294.5 494.6 712.9 872.3 1000.3 1200.0 156.3 : 138.2 338.3 556.6 716.0 844.1 1043.7 1200.0 294.5 : 200.1 418.4 577.8 705.8 905.5 1061.8 1200.0 494.6 : 218.2 377.7 505.7 705.4 861.7 999.9 1200.0 712.9 : 159.5 287.5 487.1 643.4 781.6 981.8 1200.0 872.3 : 128.0 327.7 484.0 622.2 822.3 1040.5 1200.0 1000.3: 199.7 355.9 494.2 694.3 912.5 1072.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 128.0420 .. 218.2319 cents 90.18988 cents 128.04197 cents 2: 287.4947 .. 418.3526 cents 130.85782 cents 69.26288 cents 3: 483.9813 .. 577.8053 cents 93.82406 cents 65.62871 cents 4: 622.1947 .. 716.0187 cents 93.82406 cents 44.38934 cents 5: 781.6474 .. 912.5053 cents 130.85782 cents 65.62871 cents 6: 981.7681 .. 1071.9580 cents 90.18988 cents 69.26288 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 128.04197 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 218.23186 cents Average / Smallest step : 1.338847 Largest / Average step : 1.273019 Largest / Smallest step : 1.704378 Median interval of one step : 159.45277 cents, amount: 1 Least squares average step : 170.31543 cents, oct.: 1192.20798 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : CBFGDAE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 44.38934 cents Scale diversity : 1.542535 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.475214 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 : 0.46754 cents Number of recognisable fifths : 5, average 706.8743 cents Number of appreciable fifths : 4, average 704.5881 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 123.8530 cents: 6 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 25.9600 c. M:-48.3576 c. Lebeng 12: 2 1 2 2 2 1 2 P M ME I SD: 20.3625 c. M:-43.7139 c. G.Phrygian, M.Dorian, M.Hypomixolydian, Kafi That, Mela Kharaharapriya, Raga Bageshri, Bhimpalasi, Huseni, Kanara, Kapi, Nayaki Kanada, Ritigaula, Sriraga, Mischung 5, Gregorian nr.8, Eskimo Heptatonic, Yu: China, Hyojo, Oshikicho, Banshikicho: Japan, Nam: Vietnam 13: 2 1 2 3 1 2 2 P D3 SD: 26.2218 c. M: 41.5356 c. 14: 2 1 3 2 2 2 2 P T3 SD: 23.2211 c. M: 37.3567 c. 15: 2 2 2 3 2 2 2 SP M ME I SD: 19.1255 c. M:-39.6532 c. Miller's Porcupine-7 17: 2 2 3 3 2 2 3 SP D3 S SD: 13.1406 c. M: 25.2460 c. 22: 3 2 4 4 3 2 4 P SD: 11.3356 c. M: 21.7723 c. Murchhana Abhirudgata, Kafi That, Raga Bageshri 24: 3 3 4 4 3 3 4 SP D3 S SD: 10.4301 c. M: 22.3049 c. Maqam Hussaini, Ushaq, Neutral Diatonic Dorian 25: 3 3 4 5 3 3 4 SP SD: 9.1463 c. M: 14.6202 c. 29: 4 3 5 5 4 3 5 SP SD: 6.1466 c. M: 9.4038 c. 37: 5 4 6 7 5 4 6 SP SD: 4.5493 c. M: 8.1338 c. 54: 7 6 9 10 7 6 9 SP SD: 3.7759 c. M: 5.7313 c. 61: 8 7 10 11 8 7 10 SP SD: 3.4855 c. M: 6.7311 c. 77: 10 9 13 14 10 8 13 SP SD: 2.5219 c. M:-4.0811 c. 102: 13 12 17 19 13 11 17 SP SD: 2.3191 c. M:-4.7950 c. 106: 14 12 18 19 14 11 18 SP SD: 2.2219 c. M: 4.1204 c. 109: 14 13 18 20 14 12 18 SP SD: 2.0437 c. M:-2.7482 c. 114: 15 13 19 21 15 12 19 SP SD: 1.3789 c. M:-2.9374 c. 131: 17 15 22 24 17 14 22 SP SD: 1.3491 c. M: 2.0759 c. 138: 18 16 23 25 18 15 23 SP SD: 1.2019 c. M: 2.7396 c. 162: 21 19 27 29 22 17 27 SP SD: 1.3550 c. M:-1.7968 c. 168: 22 19 28 31 22 18 28 SP SD: 1.1639 c. M: 1.7631 c. 175: 23 20 29 32 23 19 29 SP SD: 0.9104 c. M: 1.4477 c. 209: 27 24 35 38 28 22 35 SP SD: 1.0543 c. M: 1.6766 c. 216: 28 25 36 39 29 23 36 SP SD: 0.7296 c. M: 1.7410 c. 252: 33 29 42 46 33 27 42 SP SD: 0.8111 c. M:-1.4336 c. 253: 33 29 42 46 34 27 42 SP SD: 0.7874 c. M: 1.3896 c. 293: 38 34 49 53 39 31 49 SP SD: 0.6066 c. M: 1.0294 c. 301: 39 35 50 55 40 32 50 SP SD: 0.5726 c. M: 0.8044 c. 330: 43 38 55 60 44 35 55 SP SD: 0.2165 c. M:-0.4224 c. 692: 90 80 115 126 92 74 115 SP SD: 0.2301 c. M: 0.4006 c. 769: 100 89 128 140 102 82 128 SP SD: 0.2173 c. M:-0.4289 c. 798: 104 92 133 145 106 85 133 SP SD: 0.1779 c. M: 0.3468 c. 806: 105 93 134 147 107 86 134 SP SD: 0.2164 c. M: 0.3274 c. 835: 109 96 139 152 111 89 139 SP SD: 0.1766 c. M:-0.3606 c. 1022: 133 118 170 186 136 109 170 SP SD: 0.1599 c. M: 0.2954 c. 1113: 145 128 186 202 148 119 185 SP SD: 0.1558 c. M:-0.2585 c. 1136: 148 131 189 207 151 121 189 SP SD: 0.1687 c. M: 0.2540 c. 1153: 150 133 192 210 153 123 192 SP SD: 0.1480 c. M: 0.2577 c. 1215: 158 140 203 221 161 130 202 SP SD: 0.1870 c. M: 0.2368 c. 1227: 160 141 205 223 163 131 204 SP SD: 0.1457 c. M:-0.2453 c. 1352: 176 156 225 246 180 144 225 SP SD: 0.1446 c. M: 0.2415 c. 1414: 184 163 236 257 188 151 235 SP SD: 0.1200 c. M:-0.2189 c. 1443: 188 166 241 262 192 154 240 SP SD: 0.1100 c. M:-0.1823 c. 1483: 193 171 247 270 197 158 247 SP SD: 0.1243 c. M: 0.2170 c. 1528: 199 176 255 278 203 163 254 SP SD: 0.1471 c. M:-0.2369 c. 1545: 201 178 258 281 205 165 257 SP SD: 0.1173 c. M: 0.1696 c. 1557: 203 179 260 283 207 166 259 SP SD: 0.1149 c. M:-0.1774 c. 1589: 207 183 265 289 211 170 264 SP SD: 0.1125 c. M:-0.2825 c. 1744: 227 201 291 317 232 186 290 SP SD: 0.0941 c. M:-0.1722 c. 1773: 231 204 296 322 236 189 295 SP SD: 0.0985 c. M: 0.1617 c. 1798: 234 207 300 327 239 192 299 SP SD: 0.0931 c. M: 0.1725 c. 1875: 244 216 313 341 249 200 312 SP SD: 0.0831 c. M: 0.1261 c. 1919: 250 221 320 349 255 205 319 SP SD: 0.0701 c. M:-0.1743 c. 2050: 267 236 342 373 272 219 341 SP SD: 0.0687 c. M:-0.1235 c. 2205: 287 254 368 401 293 235 367 SP SD: 0.0730 c. M: 0.0957 c. 2212: 288 255 369 402 294 236 368 SP SD: 0.0627 c. M:-0.1356 c. 2249: 293 259 375 409 299 240 374 SP SD: 0.0533 c. M:-0.0978 c. 2380: 310 274 397 433 316 254 396 SP SD: 0.0409 c. M:-0.0891 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: 5.4485 cents 3 x x 4 x 5 x 6 S SD: 4.1770 cents 4 x 5 x 6 x 7:8 S SD: 24.4210 cents 5 x 6:7 x 8:9:10 S SD: 21.8226 cents 6 x 7:8:9:10:11:12 S SD: 9.7777 cents 7 x 8:9:11:12 x 14 SD: 25.3803 cents 8:9 x 11:12:13:14:16 SD: 14.5342 cents 9:10:11:12:14:15:16:18 S SD: 11.3993 cents 10:11:12:13:15:17:18:20 SD: 9.8136 cents 12:13:14:16:18:20:21:24 S SD: 6.9200 cents 18:20:21:24:27:30:32:36 S SD: 5.9579 cents 20:22:24:27:30:33:36:40 S SD: 5.6953 cents 21:23:25:28:32:35:37:42 SD: 4.2179 cents 31:34:37:41:47:51:55:62 SD: 3.1680 cents 32:35:38:43:48:53:57:64 SD: 2.9168 cents 33:36:39:44:50:55:59:66 SD: 2.4329 cents 43:47:51:57:65:71:77:86 SD: 1.7038 cents 55:60:65:73:83:91:98:110 SD: 1.2813 cents 64:70:76:85:97:106:114:128 SD: 1.2243 cents 75:82:89:100:113:124:134:150 SD: 1.0221 cents 96:105:114:128:145:159:171:192 SD: 0.7215 cents 118:129:140:157:178:195:210:236 SD: 0.6472 cents 124:136:147:165:187:205:221:248 SD: 0.6339 cents 139:152:165:185:210:230:248:278 SD: 0.5391 cents 151:165:179:201:228:250:269:302 SD: 0.4312 cents 157:172:186:209:237:260:280:314 SD: 0.3766 cents 200:219:237:266:302:331:356:400 SD: 0.3693 cents 212:232:251:282:320:351:378:424 SD: 0.3546 cents 243:266:288:323:367:402:433:486 SD: 0.3360 cents 253:277:300:337:382:419:451:506 SD: 0.3230 cents 263:288:312:350:397:435:469:526 SD: 0.3204 cents 275:301:326:366:415:455:490:550 SD: 0.1217 cents 583:638:691:776:880:965:1039:1166 SD: 0.0838 cents