Scala analysis: CD08_04_bayati_Egypt
Pièce instrumentale, Bashraf - Mustafa Fahreddin Dede (bayati, Egypt)
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 211.577 cents 211.577144 2: 370.783 cents 370.782581 3: 524.126 cents 524.125936 4: 728.371 cents 728.370994 5: 931.693 cents 931.693487 6: 1094.097 cents 1094.097430 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 105.9026 cents 105.9026 1: 211.5771 cents 211.5771 2: 159.2054 cents 159.2054 3: 153.3434 cents 153.3434 4: 204.2451 cents 204.2451 5: 203.3225 cents 203.3225 6: 162.4039 cents 162.4039 7: 105.9026 cents 105.9026
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 105.90257 cents 1: 1 153.34336 cents 1: 1 159.20544 cents 1: 1 162.40394 cents 1: 1 203.32249 cents 1: 1 204.24506 cents 1: 1 211.57714 cents 2: 1 268.30651 cents 2: 1 312.54879 cents 2: 1 317.47971 cents 2: 1 357.58841 cents 2: 1 365.72644 cents 2: 1 370.78258 cents 2: 1 407.56755 cents 3: 1 471.62901 cents 3: 1 476.68515 cents 3: 1 479.88366 cents 3: 1 516.79385 cents 3: 1 524.12594 cents 3: 1 560.91091 cents 3: 1 569.97149 cents 4: 1 630.02851 cents 4: 1 639.08909 cents 4: 1 675.87406 cents 4: 1 683.20615 cents 4: 1 720.11634 cents 4: 1 723.31485 cents 4: 1 728.37099 cents 5: 1 792.43245 cents 5: 1 829.21742 cents 5: 1 834.27356 cents 5: 1 842.41159 cents 5: 1 882.52029 cents 5: 1 887.45121 cents 5: 1 931.69349 cents 6: 1 988.42286 cents 6: 1 995.75494 cents 6: 1 996.67751 cents 6: 1 1037.59606 cents 6: 1 1040.79456 cents 6: 1 1046.65664 cents 6: 1 1094.09743 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 : 211.6 370.8 524.1 728.4 931.7 1094.1 1200.0 211.6 : 159.2 312.5 516.8 720.1 882.5 988.4 1200.0 370.8 : 153.3 357.6 560.9 723.3 829.2 1040.8 1200.0 524.1 : 204.2 407.6 570.0 675.9 887.5 1046.7 1200.0 728.4 : 203.3 365.7 471.6 683.2 842.4 995.8 1200.0 931.7 : 162.4 268.3 479.9 639.1 792.4 996.7 1200.0 1094.1: 105.9 317.5 476.7 630.0 834.3 1037.6 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 105.9026 .. 211.5771 cents 105.67457 cents 105.90257 cents 2: 268.3065 .. 407.5676 cents 139.26104 cents 56.72937 cents 3: 471.6290 .. 569.9715 cents 98.34249 cents 64.06145 cents 4: 630.0285 .. 728.3710 cents 98.34249 cents 60.05701 cents 5: 792.4324 .. 931.6935 cents 139.26104 cents 64.06146 cents 6: 988.4229 .. 1094.0974 cents 105.67457 cents 56.72937 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 105.90257 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 211.57714 cents Average / Smallest step : 1.618739 Largest / Average step : 1.234200 Largest / Smallest step : 1.997847 Median interval of one step : 162.40394 cents, amount: 1 Least squares average step : 179.01469 cents, oct.: 1253.10281 cents Scale is strictly proper Step pattern alph. order: ABCDEFG Step pattern size order : GCBFEDA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 56.72937 cents Scale diversity : 1.595434 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.427870 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 : 0.92256 cents Number of recognisable fifths : 0 Best fifths form a closed circle Best minor thirds form a closed circle Formal octave complements present : 1 = 14.2857% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 44.9756 c. M: 74.5506 c. Lebeng 8: 1 1 1 2 1 1 1 P M ME I SD: 50.3040 c. M: 74.1259 c. 9: 2 1 1 1 2 1 1 P M ME S SD: 34.9200 c. M: 61.7043 c. 10: 2 1 1 2 2 1 1 P D3 S SD: 23.7285 c. M: 44.1259 c. Pseudo Rast 12: 2 2 1 2 2 2 1 P M ME S SD: 22.0842 c. M: 31.6935 c. G.Lydian, M.Ionian, M.Hypolydian, Major, Bilaval That, Mela Shankarabharanam, Raga Atana, Ghana Heptatonic, Peruvian Major, Matzore, Rast ascending: Greece, 4th plagal Byzantine, Ararai: Ethiopia, Makam Cargah, Ajam Ashiran, Dastgah-e Mahur, Dastgah-e Rast Panjgah, Xin: China, DS2, Heptatonia prima 13: 2 2 2 2 2 2 1 SP M ME S SD: 16.7908 c. M:-29.7202 c. Ryonian 18: 3 3 2 3 3 2 2 SP D3 S SD: 16.2666 c. M:-29.2174 c. 22: 4 3 3 3 4 3 2 SP D3 SD: 12.0815 c. M:-21.3286 c. Chameleon Porcupine 23: 4 3 3 4 4 3 2 SP SD: 3.9089 c. M:-7.4369 c. 58: 10 8 7 10 10 8 5 SP SD: 3.7099 c. M: 6.8846 c. 64: 11 9 8 11 11 8 6 SP SD: 4.3500 c. M: 6.5974 c. 67: 12 9 8 12 11 9 6 SP SD: 3.7805 c. M:-5.9574 c. 68: 12 9 9 11 12 9 6 SP SD: 3.0336 c. M:-5.2858 c. 81: 14 11 10 14 14 11 7 SP SD: 2.9881 c. M: 5.6074 c. 90: 16 12 11 16 15 12 8 SP SD: 2.7906 c. M:-4.9623 c. 91: 16 12 12 15 16 12 8 SP SD: 2.5240 c. M:-4.5702 c. 100: 18 13 13 17 17 13 9 SP SD: 3.2109 c. M:-4.4229 c. 101: 18 13 13 17 17 14 9 SP SD: 2.7227 c. M: 4.9608 c. 103: 18 14 13 18 17 14 9 SP SD: 2.4003 c. M:-5.6096 c. 106: 19 14 13 18 18 15 9 SP SD: 3.2510 c. M:-4.0158 c. 107: 19 14 14 18 18 15 9 SP SD: 2.3107 c. M:-4.9680 c. 112: 20 15 14 19 19 15 10 SP SD: 1.9881 c. M:-4.2174 c. 117: 21 15 15 20 20 16 10 SP SD: 2.1337 c. M:-3.8075 c. 124: 22 16 16 21 21 17 11 SP SD: 1.9767 c. M: 3.0406 c. 130: 23 17 17 22 22 18 11 SP SD: 1.9718 c. M:-4.3641 c. 135: 24 18 17 23 23 18 12 SP SD: 1.3749 c. M:-2.5508 c. 158: 28 21 20 27 27 21 14 SP SD: 1.1924 c. M:-2.4837 c. 171: 30 23 22 29 29 23 15 SP SD: 1.3324 c. M:-2.1899 c. 181: 32 24 23 31 31 24 16 SP SD: 1.2683 c. M:-3.1131 c. 188: 33 25 24 32 32 25 17 SP SD: 1.1392 c. M: 2.6081 c. 204: 36 27 26 35 34 28 18 SP SD: 0.9797 c. M: 2.2817 c. 206: 36 28 26 35 35 28 18 SP SD: 1.1282 c. M:-2.0330 c. 216: 38 29 27 37 37 29 19 SP SD: 1.1386 c. M: 1.9037 c. 227: 40 30 29 39 38 31 20 SP SD: 0.7735 c. M: 1.2970 c. 250: 44 33 32 43 42 34 22 SP SD: 0.7786 c. M:-1.2290 c. 272: 48 36 35 46 46 37 24 SP SD: 0.4899 c. M:-0.8741 c. 295: 52 39 38 50 50 40 26 SP SD: 0.3517 c. M:-0.6198 c. 430: 76 57 55 73 73 58 38 SP SD: 0.3519 c. M:-0.5252 c. 453: 80 60 58 77 77 61 40 SP SD: 0.3492 c. M:-0.7568 c. 488: 86 65 62 83 83 66 43 SP SD: 0.3318 c. M:-0.5289 c. 634: 112 84 81 108 107 86 56 SP SD: 0.2851 c. M: 0.4632 c. 657: 116 87 84 112 111 89 58 SP SD: 0.2020 c. M:-0.3961 c. 680: 120 90 87 116 115 92 60 SP SD: 0.2012 c. M:-0.4525 c. 783: 138 104 100 133 133 106 69 SP SD: 0.1747 c. M: 0.4016 c. 806: 142 107 103 137 137 109 71 SP SD: 0.2006 c. M: 0.3313 c. 886: 156 118 113 151 150 120 78 SP SD: 0.2279 c. M:-0.3235 c. 929: 164 123 119 158 157 126 82 SP SD: 0.2169 c. M: 0.3695 c. 952: 168 126 122 162 161 129 84 SP SD: 0.1714 c. M:-0.2438 c. 987: 174 131 126 168 167 134 87 SP SD: 0.1654 c. M: 0.3865 c. 1010: 178 134 129 172 171 137 89 SP SD: 0.1286 c. M: 0.2083 c. 1145: 202 152 146 195 194 155 101 SP SD: 0.1067 c. M:-0.2218 c. 1168: 206 155 149 199 198 158 103 SP SD: 0.1023 c. M:-0.1558 c. 1417: 250 188 181 241 240 192 125 SP SD: 0.1032 c. M: 0.1480 c. 1440: 254 191 184 245 244 195 127 SP SD: 0.0523 c. M:-0.0895 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: 13.2080 cents 3 x x 4 x 5 x 6 S SD: 18.0148 cents 4 x 5 x 6:7 x 8 S SD: 12.0360 cents 5 x 6:7:8 x 9:10 S SD: 27.9862 cents 6:7 x 8:9:10:11:12 S SD: 15.5252 cents 7:8:9 x 11:12:13:14 SD: 14.8618 cents 8:9:10:11:12:14:15:16 S SD: 8.0178 cents 14:16:17:19:21:24:26:28 SD: 7.5689 cents 16:18:20:22:24:27:30:32 S SD: 7.0542 cents 17:19:21:23:26:29:32:34 SD: 3.1614 cents 25:28:31:34:38:43:47:50 SD: 2.7548 cents 42:47:52:57:64:72:79:84 SD: 2.5102 cents 45:51:56:61:69:77:85:90 SD: 2.3924 cents 46:52:57:62:70:79:87:92 SD: 1.8178 cents 59:67:73:80:90:101:111:118 SD: 1.3941 cents 67:76:83:91:102:115:126:134 SD: 1.3770 cents 76:86:94:103:116:130:143:152 SD: 0.8764 cents 84:95:104:114:128:144:158:168 SD: 0.7414 cents 101:114:125:137:154:173:190:202 SD: 0.6971 cents 122:138:151:165:186:209:230:244 SD: 0.6959 cents 130:147:161:176:198:223:245:260 SD: 0.5967 cents 147:166:182:199:224:252:277:294 SD: 0.5142 cents 176:199:218:238:268:301:331:352 SD: 0.4858 cents 184:208:228:249:280:315:346:368 SD: 0.3052 cents 201:227:249:272:306:344:378:402 SD: 0.2947 cents 260:294:322:352:396:445:489:520 SD: 0.2810 cents 268:303:332:363:408:459:504:536 SD: 0.2582 cents 285:322:353:386:434:488:536:570 SD: 0.2032 cents 331:374:410:448:504:567:623:662 SD: 0.1376 cents 515:582:638:697:784:882:969:1030 SD: 0.1336 cents 591:668:732:800:900:1012:1112:1182 SD: 0.1210 cents 599:677:742:811:912:1026:1127:1198 SD: 0.1209 cents