Scala analysis: zest24_Suz-i_Dilara_Gbup
Zest-24 Suz-i Dilara near suggested values in Ozan Yarman's 79MOS
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 203.906 cents 203.906240 2: 421.875 cents 421.875000 3: 505.078 cents 505.078120 4: 696.094 cents 696.093740 5: 912.891 cents 912.890620 6: 1129.687 cents 1129.687490 7: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 70.3125 cents 70.3125 1: 203.9062 cents 203.9062 2: 217.9688 cents 217.9688 3: 83.2031 cents 83.2031 4: 191.0156 cents 191.0156 5: 216.7969 cents 216.7969 6: 216.7969 cents 216.7969 7: 70.3125 cents 70.3125
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 70.31251 cents 1: 1 83.20312 cents 1: 1 191.01562 cents 1: 1 203.90624 cents 1: 2 216.79688 cents 1: 1 217.96876 cents 2: 2 274.21874 cents 2: 1 287.10938 cents 2: 1 301.17188 cents 2: 1 407.81250 cents 2: 1 421.87500 cents 2: 1 433.59375 cents 3: 2 491.01562 cents 3: 2 492.18750 cents 3: 1 503.90626 cents 3: 1 505.07812 cents 3: 1 624.60937 cents 4: 1 575.39063 cents 4: 1 694.92188 cents 4: 1 696.09374 cents 4: 2 707.81249 cents 4: 2 708.98438 cents 5: 1 766.40625 cents 5: 1 778.12500 cents 5: 1 792.18750 cents 5: 1 898.82812 cents 5: 1 912.89062 cents 5: 2 925.78125 cents 6: 1 982.03124 cents 6: 2 983.20312 cents 6: 1 996.09376 cents 6: 1 1008.98438 cents 6: 1 1116.79688 cents 6: 1 1129.68749 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 5.66667 = 17/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 203.9 421.9 505.1 696.1 912.9 1129.7 1200.0 203.9 : 218.0 301.2 492.2 709.0 925.8 996.1 1200.0 421.9 : 83.2 274.2 491.0 707.8 778.1 982.0 1200.0 505.1 : 191.0 407.8 624.6 694.9 898.8 1116.8 1200.0 696.1 : 216.8 433.6 503.9 707.8 925.8 1009.0 1200.0 912.9 : 216.8 287.1 491.0 709.0 792.2 983.2 1200.0 1129.7: 70.3 274.2 492.2 575.4 766.4 983.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 70.3125 .. 217.9688 cents 147.65625 cents 70.31251 cents 2: 274.2187 .. 433.5937 cents 159.37501 cents 56.24998 cents 3: 491.0156 .. 624.6094 cents 133.59375 cents 57.42187 cents 4: 575.3906 .. 708.9844 cents 133.59375 cents -49.21874 cents 5: 766.4063 .. 925.7812 cents 159.37500 cents 57.42187 cents 6: 982.0312 .. 1129.6875 cents 147.65625 cents 56.24999 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 70.31251 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 217.96876 cents Average / Smallest step : 2.438095 Largest / Average step : 1.271484 Largest / Smallest step : 3.100000 Median interval of one step : 203.90624 cents, amount: 1 Most common interval of one step : 216.79688 cents, amount: 2 Least squares average step : 179.21317 cents, oct.: 1254.49218 cents Scale is not proper Scale is a mode of a 1024-tone equal temperament with octave 2/1 degrees: 174 360 431 594 779 964 1024 Least number of segments generator : 513 of 601.172 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 515 of 603.516 cents and inv. generated superset size: 226 = 219 more = 3228.571% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEEF Step pattern size order : DFBCEEA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 49.21874 cents Scale diversity : 1.461571 Lumma stability : 0.306641 Lumma impropriety factor : 0.041016 Rothenberg efficiency : 0.340136 redundancy: 0.659864 Efficiency x scale size : 2.380952 Number of different interval sizes : 34 = 5.66667 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 5.66667 = 17/3 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 1.17186 cents Number of recognisable fifths : 6, average 704.1016 cents Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 147.6563 cents: 2 -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 54.5415 c. M: 101.1161 c. Lebeng 9: 2 1 1 1 2 1 1 P M ME S SD: 38.6767 c. M: 63.0208 c. 11: 2 2 0 2 2 2 1 N T3 SD: 37.7558 c. M: 68.7145 c. 12: 2 2 1 2 2 2 1 P M ME S SD: 15.0349 c. M: 29.6875 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 16: 3 3 1 2 3 3 1 P SD: 17.9918 c. M:-28.1250 c. 17: 3 3 1 3 3 3 1 N M DE S SD: 6.5807 c. M: 10.9605 c. Seventeen-tone Major 45: 8 8 3 7 8 8 3 N SD: 6.0304 c. M: 9.6875 c. 46: 8 8 3 8 8 8 3 N M DE S SD: 6.1321 c. M: 9.4259 c. 48: 8 9 3 8 9 8 3 N T3 SD: 5.7901 c. M:-12.1094 c. 52: 9 9 4 8 10 9 3 N SD: 5.1068 c. M:-10.1863 c. 53: 9 10 3 9 9 10 3 N SD: 5.4666 c. M:-8.3137 c. 54: 9 10 4 8 10 10 3 N SD: 4.1429 c. M: 7.2049 c. 66: 11 12 5 10 12 12 4 N SD: 3.6283 c. M: 5.1846 c. 71: 12 13 5 11 13 13 4 N SD: 1.8003 c. M: 3.1360 c. 83: 14 15 6 13 15 15 5 N SD: 1.7915 c. M: 2.5979 c. 88: 15 16 6 14 16 16 5 N SD: 0.9945 c. M:-2.1307 c. 100: 17 18 7 16 18 18 6 N SD: 1.0913 c. M: 1.8750 c. 171: 29 31 12 27 31 31 10 N SD: 0.6655 c. M: 1.3569 c. 188: 32 34 13 30 34 34 11 N SD: 0.4317 c. M: 0.8228 c. 276: 47 50 19 44 50 50 16 N SD: 0.4665 c. M:-0.7473 c. 359: 61 65 25 57 65 65 21 N SD: 0.4540 c. M: 0.8291 c. 447: 76 81 31 71 81 81 26 N SD: 0.4188 c. M: 0.7917 c. 490: 83 89 34 78 89 88 29 N SD: 0.5802 c. M: 0.7079 c. 494: 84 90 34 79 89 89 29 N SD: 0.5448 c. M:-1.0723 c. 501: 85 91 35 80 90 91 29 N SD: 0.5282 c. M:-0.9122 c. 523: 89 95 36 83 95 94 31 N SD: 0.5060 c. M: 0.8739 c. 529: 90 96 37 84 95 96 31 N SD: 0.4986 c. M: 0.9814 c. 534: 91 97 37 85 96 97 31 N SD: 0.5324 c. M:-0.6496 c. 535: 91 97 37 85 97 97 31 N SD: 0.4535 c. M:-0.7798 c. 547: 93 99 38 87 99 99 32 N SD: 0.4222 c. M: 0.6684 c. 560: 95 102 39 89 101 101 33 N SD: 0.3512 c. M:-0.6362 c. 577: 98 105 40 92 104 104 34 N SD: 0.3245 c. M:-0.6134 c. 578: 98 105 40 92 105 104 34 N SD: 0.4636 c. M:-0.6042 c. 594: 101 108 41 95 107 107 35 N SD: 0.4000 c. M:-0.8760 c. 631: 107 115 44 100 114 114 37 N SD: 0.3584 c. M:-0.7856 c. 634: 108 115 44 101 114 115 37 N SD: 0.3778 c. M: 0.5878 c. 648: 110 118 45 103 117 117 38 N SD: 0.2505 c. M:-0.4774 c. 665: 113 121 46 106 120 120 39 N SD: 0.2451 c. M:-0.4476 c. 736: 125 134 51 117 133 133 43 N SD: 0.2327 c. M:-0.4076 c. 748: 127 136 52 119 135 135 44 N SD: 0.1721 c. M: 0.2757 c. 836: 142 152 58 133 151 151 49 N SD: 0.0971 c. M:-0.1850 c. 936: 159 170 65 149 169 169 55 N SD: 0.0935 c. M: 0.2003 c. 1024: 174 186 71 163 185 185 60 N SD: 0.0000 c. M:-0.0000 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: 2.9306 cents 3 x x 4 x 5 x 6 S SD: 9.7953 cents 4 x 5 x 6:7 x 8 S SD: 16.6353 cents 5 x 6:7 x 8 x 10 S SD: 41.1728 cents 6:7 x 8:9:10 x 12 S SD: 13.9462 cents 7:8:9 x 10:12:13:14 S SD: 17.3756 cents 8:9:10:11:12:14:15:16 S SD: 13.0003 cents 10:11:13 x 15:17:19:20 SD: 9.0805 cents 13:15 x 17:19:22:25:26 SD: 11.9183 cents 14:16:18:19:21:24:27:28 SD: 6.3461 cents 18:20:23:24:27:31:35:36 SD: 6.0839 cents 22:25:28:29:33:37:42:44 SD: 5.2403 cents 23:26:29:31:34:39:44:46 SD: 4.6338 cents 24:27:31:32:36:41:46:48 SD: 3.9044 cents 26:29:33:35:39:44:50:52 SD: 2.9951 cents 32:36:41:43:48:54:61:64 SD: 2.6371 cents 39:44:50:52:58:66:75:78 SD: 2.1823 cents 47:53:60:63:70:80:90:94 SD: 1.7570 cents 62:70:79:83:93:105:119:124 SD: 1.2776 cents 65:73:83:87:97:110:125:130 SD: 0.7843 cents 112:126:143:150:167:190:215:224 SD: 0.7383 cents 127:143:162:170:190:215:244:254 SD: 0.3806 cents 192:216:245:257:287:325:369:384 SD: 0.3114 cents 239:269:305:320:357:405:459:478 SD: 0.2380 cents 265:298:338:355:396:449:509:530 SD: 0.2365 cents 327:368:417:438:489:554:628:654 SD: 0.2226 cents 337:379:430:451:504:571:647:674 SD: 0.1716 cents 392:441:500:525:586:664:753:784 SD: 0.1609 cents 416:468:531:557:622:705:799:832 SD: 0.1275 cents 511:575:652:684:764:866:981:1022 SD: 0.1210 cents 576:648:735:771:861:976:1106:1152 SD: 0.0617 cents