Scala analysis: zest24_Suz-i_Dilara_Abup
Zest-24 Suz-i Dilara similar to tuning in Ozan Yarman's 79MOS
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 217.969 cents 217.968760 2: 421.875 cents 421.875000 3: 492.187 cents 492.187500 4: 708.984 cents 708.984380 5: 925.781 cents 925.781250 6: 1117.969 cents 1117.968750 7: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 82.0313 cents 82.0313 1: 217.9688 cents 217.9688 2: 203.9062 cents 203.9062 3: 70.3125 cents 70.3125 4: 216.7969 cents 216.7969 5: 216.7969 cents 216.7969 6: 192.1875 cents 192.1875 7: 82.0313 cents 82.0313
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 70.31250 cents 1: 1 82.03125 cents 1: 1 192.18750 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: 1 300.00001 cents 2: 1 408.98437 cents 2: 1 421.87500 cents 2: 1 433.59375 cents 3: 2 491.01562 cents 3: 2 492.18750 cents 3: 2 503.90625 cents 3: 1 625.78125 cents 4: 1 574.21875 cents 4: 2 696.09375 cents 4: 2 707.81249 cents 4: 2 708.98438 cents 5: 1 766.40625 cents 5: 1 778.12500 cents 5: 1 791.01563 cents 5: 1 899.99999 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 1007.81250 cents 6: 1 1117.96875 cents 6: 1 1129.68750 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 5.33333 = 16/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 218.0 421.9 492.2 709.0 925.8 1118.0 1200.0 218.0 : 203.9 274.2 491.0 707.8 900.0 982.0 1200.0 421.9 : 70.3 287.1 503.9 696.1 778.1 996.1 1200.0 492.2 : 216.8 433.6 625.8 707.8 925.8 1129.7 1200.0 709.0 : 216.8 409.0 491.0 709.0 912.9 983.2 1200.0 925.8 : 192.2 274.2 492.2 696.1 766.4 983.2 1200.0 1118.0: 82.0 300.0 503.9 574.2 791.0 1007.8 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 70.3125 .. 217.9688 cents 147.65626 cents 70.31250 cents 2: 274.2187 .. 433.5937 cents 159.37501 cents 56.24998 cents 3: 491.0156 .. 625.7812 cents 134.76563 cents 57.42187 cents 4: 574.2188 .. 708.9844 cents 134.76563 cents -51.56250 cents 5: 766.4063 .. 925.7812 cents 159.37500 cents 57.42187 cents 6: 982.0312 .. 1129.6875 cents 147.65626 cents 56.24999 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 70.31250 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 : 179.36384 cents, oct.: 1255.54688 cents Scale is not proper Scale is a mode of a 1024-tone equal temperament with octave 2/1 degrees: 186 360 420 605 790 954 1024 Least number of segments generator : 513 of 601.172 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 685 of 802.734 cents and inv. generated superset size: 257 = 250 more = 3671.429% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDDEF Step pattern size order : FDAEECB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 51.56250 cents Scale diversity : 1.449303 Lumma stability : 0.306641 Lumma impropriety factor : 0.042969 Rothenberg efficiency : 0.353741 redundancy: 0.646259 Efficiency x scale size : 2.476190 Number of different interval sizes : 32 = 5.33333 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 5.33333 = 16/3 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 1.17188 cents Number of recognisable fifths : 6, average 704.2969 cents Formal octave complements present : 1 = 14.2857% Limited inverse transpositions with margin 159.3750 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: 56.2428 c. M: 89.3973 c. Lebeng 8: 1 2 0 2 1 1 1 P D3 S SD: 44.9718 c. M: 67.9688 c. 9: 2 1 1 1 2 1 1 P M ME S SD: 35.9021 c. M: 51.3021 c. 10: 2 2 0 2 2 1 1 P D3 S SD: 31.0445 c. M:-58.1250 c. 12: 2 2 1 2 2 2 1 P M ME S SD: 16.6076 c. M: 25.7812 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 17: 3 3 1 3 3 3 1 N M DE S SD: 5.9962 c. M:-11.4430 c. Seventeen-tone Major 39: 7 7 2 7 7 6 3 N SD: 5.3504 c. M: 10.2764 c. 44: 8 7 3 8 8 7 3 N SD: 4.8901 c. M: 12.7841 c. 48: 9 8 3 8 9 8 3 N T3 SD: 5.9882 c. M: 8.9844 c. 49: 9 8 3 9 9 8 3 N SD: 4.4815 c. M:-8.5619 c. 54: 10 9 3 10 10 8 4 N SD: 4.4349 c. M:-7.5521 c. 56: 10 10 3 10 10 9 4 N SD: 3.6792 c. M:-6.6964 c. 61: 11 10 4 11 11 10 4 N SD: 3.6368 c. M: 8.7602 c. 66: 12 11 4 12 12 10 5 N SD: 3.7104 c. M: 8.8778 c. 71: 13 12 4 13 13 11 5 N SD: 2.0351 c. M:-3.7962 c. 83: 15 14 5 15 15 13 6 N SD: 2.1085 c. M: 4.7157 c. 88: 16 15 5 16 16 14 6 N SD: 0.8183 c. M:-1.4915 c. 188: 34 32 11 34 34 30 13 N SD: 0.6467 c. M: 0.9475 c. 276: 50 47 16 50 50 44 19 N SD: 0.4843 c. M: 0.8832 c. 293: 53 50 17 53 53 47 20 N SD: 0.4764 c. M: 0.9039 c. 381: 69 65 22 69 69 61 26 N SD: 0.4364 c. M: 0.8489 c. 464: 84 79 27 84 84 74 32 N SD: 0.5284 c. M: 0.8082 c. 469: 85 80 27 85 85 75 32 N SD: 0.4582 c. M: 0.9295 c. 481: 87 82 28 87 87 77 33 N SD: 0.5018 c. M: 0.9209 c. 486: 88 83 28 88 88 78 33 N SD: 0.4954 c. M: 0.8295 c. 495: 90 84 29 89 90 79 34 N SD: 0.4641 c. M: 1.1056 c. 512: 93 87 30 93 92 82 35 N SD: 0.4429 c. M:-1.1719 c. 529: 96 90 31 96 95 85 36 N SD: 0.4343 c. M:-1.0345 c. 538: 98 91 32 97 97 86 37 N SD: 0.4475 c. M:-0.7493 c. 543: 99 92 32 98 98 87 37 N SD: 0.4445 c. M:-0.8158 c. 555: 101 94 33 100 100 89 38 N SD: 0.3872 c. M:-0.7855 c. 560: 102 95 33 101 101 90 38 N SD: 0.4378 c. M:-0.6696 c. 572: 104 97 34 103 103 92 39 N SD: 0.4106 c. M:-0.8195 c. 600: 109 102 35 108 109 96 41 N SD: 0.3909 c. M: 0.9844 c. 617: 112 105 36 112 111 99 42 N SD: 0.3776 c. M:-0.9022 c. 626: 114 106 37 113 113 100 43 N SD: 0.3379 c. M:-0.5616 c. 631: 115 107 37 114 114 101 43 N SD: 0.3964 c. M:-0.7317 c. 643: 117 109 38 116 116 103 44 N SD: 0.2586 c. M:-0.5030 c. 731: 133 124 43 132 132 117 50 N SD: 0.1910 c. M:-0.3623 c. 748: 136 127 44 135 135 120 51 N SD: 0.1787 c. M:-0.3259 c. 819: 149 139 48 148 148 131 56 N SD: 0.1799 c. M:-0.3463 c. 831: 151 141 49 150 150 133 57 N SD: 0.1724 c. M: 0.2792 c. 836: 152 142 49 151 151 134 57 N SD: 0.1454 c. M:-0.2131 c. 919: 167 156 54 166 166 147 63 N SD: 0.1103 c. M: 0.2321 c. 936: 170 159 55 169 169 150 64 N SD: 0.0769 c. M: 0.1402 c. 1024: 186 174 60 185 185 164 70 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: 3.5147 cents 3 x x 4 x 5 x 6 S SD: 13.9449 cents 4 x 5 x 6:7 x 8 S SD: 14.0687 cents 5:6 x 7:8:9 x 10 S SD: 38.5180 cents 6:7 x 8:9:10:11:12 S SD: 15.7213 cents 7:8:9 x 11:12:13:14 SD: 14.8575 cents 8:9:10:11:12:14:15:16 S SD: 12.5706 cents 10:11:13 x 15:17:19:20 SD: 10.5373 cents 13:15 x 17:20:22:25:26 SD: 9.7692 cents 14:16:18:19:21:24:27:28 SD: 6.6212 cents 18:20:23:24:27:31:34:36 SD: 6.1886 cents 21:24:27:28:32:36:40:42 S SD: 4.1712 cents 22:25:28:29:33:38:42:44 SD: 3.7596 cents 30:34:38:40:45:51:57:60 SD: 2.6407 cents 37:42:47:49:56:63:71:74 SD: 2.4557 cents 43:49:55:57:65:73:82:86 SD: 2.1825 cents 51:58:65:68:77:87:97:102 SD: 1.4596 cents 61:69:78:81:92:104:116:122 SD: 1.2373 cents 73:83:93:97:110:125:139:146 SD: 1.1456 cents 83:94:106:110:125:142:158:166 SD: 1.0792 cents 91:103:116:121:137:155:174:182 SD: 0.9987 cents 95:108:121:126:143:162:181:190 SD: 0.9557 cents 97:110:124:129:146:166:185:194 SD: 0.8204 cents 112:127:143:149:169:191:214:224 SD: 0.7504 cents 119:135:152:158:179:203:227:238 SD: 0.4911 cents 164:186:209:218:247:280:313:328 SD: 0.3451 cents 225:255:287:299:339:384:429:450 SD: 0.2464 cents 283:321:361:376:426:483:540:566 SD: 0.1822 cents 344:390:439:457:518:587:656:688 SD: 0.1728 cents 417:473:532:554:628:712:795:834 SD: 0.1557 cents 478:542:610:635:720:816:912:956 SD: 0.1250 cents 508:576:648:675:765:867:969:1016 SD: 0.1141 cents 529:600:675:703:797:903:1009:1058 SD: 0.0877 cents