Scala analysis: 79MOS_Suz-i_Dilara
Tuning for Suz-i Dilara in Ozan Yarman's 79MOS
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 211.236 cents 211.236440 2: 422.927 cents 422.927280 3: 4/3 498.044999 perfect fourth 4: 3/2 701.955001 perfect fifth 5: 913.191 cents 913.191440 6: 1124.019 cents 1124.019470 7: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 75.9805 cents 75.9805 1: 211.2364 cents 211.2364 2: 211.6908 cents 211.6908 3: 75.1177 cents 75.1177 4: 9/8 203.9100 major whole tone 5: 211.2364 cents 211.2364 6: 210.8280 cents 210.8280 7: 75.9805 cents 75.9805
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 75.11772 cents 1: 1 75.98053 cents 1: 1 9/8 203.910 cents major whole tone 1: 1 210.82803 cents 1: 2 211.23644 cents 1: 1 211.69084 cents 2: 1 279.02772 cents 2: 2 286.80856 cents 2: 1 287.21697 cents 2: 1 415.14644 cents 2: 1 422.06447 cents 2: 1 422.92728 cents 3: 1 490.26416 cents 3: 1 490.71856 cents 3: 3 4/3 498.045 cents perfect fourth 3: 1 498.90781 cents 3: 1 625.97447 cents 4: 1 574.02553 cents 4: 1 701.09219 cents 4: 3 3/2 701.955 cents perfect fifth 4: 1 709.28144 cents 4: 1 709.73584 cents 5: 1 777.07272 cents 5: 1 777.93553 cents 5: 1 784.85356 cents 5: 1 912.78303 cents 5: 2 913.19144 cents 5: 1 920.97228 cents 6: 1 988.30916 cents 6: 2 988.76356 cents 6: 1 989.17197 cents 6: 1 16/9 996.090 cents Pythagorean minor seventh 6: 1 1124.01947 cents 6: 1 1124.88228 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 : 211.2 422.9 498.0 702.0 913.2 1124.0 1200.0 211.2 : 211.7 286.8 490.7 702.0 912.8 988.8 1200.0 422.9 : 75.1 279.0 490.3 701.1 777.1 988.3 1200.0 498.0 : 203.9 415.1 626.0 702.0 913.2 1124.9 1200.0 702.0 : 211.2 422.1 498.0 709.3 921.0 996.1 1200.0 913.2 : 210.8 286.8 498.0 709.7 784.9 988.8 1200.0 1124.0: 76.0 287.2 498.9 574.0 777.9 989.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 75.1177 .. 211.6908 cents 136.57312 cents 75.11772 cents 2: 279.0277 .. 422.9273 cents 143.89956 cents 67.33688 cents 3: 490.2642 .. 625.9745 cents 135.71031 cents 67.33688 cents 4: 574.0255 .. 709.7358 cents 135.71031 cents -51.94894 cents 5: 777.0727 .. 920.9723 cents 143.89956 cents 67.33688 cents 6: 988.3092 .. 1124.8823 cents 136.57312 cents 67.33688 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 75.11772 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 211.69084 cents Average / Smallest step : 2.282132 Largest / Average step : 1.234863 Largest / Smallest step : 2.818121 Median interval of one step : 210.82803 cents, amount: 1 Most common interval of one step : 211.23644 cents, amount: 2 Least squares average step : 179.06514 cents, oct.: 1253.45600 cents Scale is not proper Step pattern alph. order: ABCDAEF Step pattern size order : EFACEDB Scale is a Constant Structure, by a margin of 51.94894 cents Scale diversity : 1.325004 Lumma stability : 0.349652 Lumma impropriety factor : 0.043291 Rothenberg efficiency : 0.341497 redundancy: 0.658503 Efficiency x scale size : 2.390476 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 : 0.40841 cents Most common intervals : 4/3, 498.0450 cents & inv., amount: 3 Number of recognisable fifths : 6, average 704.3291 cents Scale contains a complete diamond : 1 3 Formal octave complements present : 3 = 42.8571% Limited inverse transpositions with margin 143.8996 cents: 2 -- Rational properties -- Prime limit : 3 (not all pitches rational)
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 54.4783 c. M: 95.4480 c. Lebeng 8: 1 2 0 2 1 1 1 P D3 S SD: 45.9073 c. M: 74.0195 c. 9: 2 1 1 1 2 1 1 P M ME S SD: 37.3855 c. M: 57.3528 c. 11: 2 2 0 2 2 2 1 N T3 SD: 35.8861 c. M: 61.6814 c. 12: 2 2 1 2 2 2 1 P M ME S SD: 14.1951 c. M: 24.0195 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: 3.3895 c. M:-5.3923 c. Seventeen-tone Major 46: 8 8 3 8 8 8 3 N M DE S SD: 2.7717 c. M: 5.5360 c. 62: 11 11 4 10 11 11 4 N SD: 3.3630 c. M: 5.1808 c. 63: 11 11 4 11 11 11 4 N M DE S SD: 2.2356 c. M: 3.8797 c. 79: 14 14 5 13 14 14 5 N SD: 2.1285 c. M:-3.2208 c. 80: 14 14 5 14 14 14 5 N M DE S SD: 2.1671 c. M:-3.0450 c. 96: 17 17 6 16 17 17 6 N SD: 1.4627 c. M:-2.0727 c. 108: 19 19 7 18 19 19 7 N SD: 1.4983 c. M: 2.0803 c. 113: 20 20 7 19 20 20 7 N SD: 1.1807 c. M:-1.8515 c. 125: 22 22 8 21 22 22 8 N SD: 0.8484 c. M: 1.1914 c. 142: 25 25 9 24 25 25 9 N SD: 0.3824 c. M:-0.5466 c. 159: 28 28 10 27 28 28 10 N SD: 0.2259 c. M:-0.5088 c. 301: 53 53 19 51 53 53 19 N SD: 0.2386 c. M: 0.3359 c. 460: 81 81 29 78 81 81 29 N SD: 0.2168 c. M:-0.3284 c. 619: 109 109 39 105 109 109 39 N SD: 0.2126 c. M:-0.3747 c. 761: 134 134 48 129 134 134 48 N SD: 0.2234 c. M: 0.3254 c. 778: 137 137 49 132 137 137 49 N SD: 0.2122 c. M:-0.4021 c. 865: 152 153 54 147 152 152 55 N SD: 0.2407 c. M: 0.3694 c. 870: 153 154 54 148 153 153 55 N SD: 0.2268 c. M:-0.5210 c. 882: 155 156 55 150 155 155 56 N SD: 0.2051 c. M: 0.3521 c. 899: 158 159 56 153 158 158 57 N SD: 0.1885 c. M: 0.3354 c. 916: 161 162 57 156 161 161 58 N SD: 0.1933 c. M: 0.3194 c. 933: 164 165 58 159 164 164 59 N SD: 0.2161 c. M: 0.3040 c. 937: 165 165 59 159 165 165 59 N SD: 0.2129 c. M:-0.4202 c. 942: 166 166 59 160 166 165 60 N SD: 0.2053 c. M: 0.4526 c. 959: 169 169 60 163 169 168 61 N SD: 0.1873 c. M: 0.3490 c. 995: 175 176 62 169 175 175 63 N SD: 0.1851 c. M:-0.3893 c. 1012: 178 179 63 172 178 178 64 N SD: 0.1749 c. M:-0.3929 c. 1024: 180 181 64 174 180 180 65 N SD: 0.1816 c. M: 0.3008 c. 1041: 183 184 65 177 183 183 66 N SD: 0.1537 c. M: 0.2854 c. 1058: 186 187 66 180 186 186 67 N SD: 0.1441 c. M: 0.2724 c. 1075: 189 190 67 183 189 189 68 N SD: 0.1544 c. M: 0.2597 c. 1092: 192 193 68 186 192 192 69 N SD: 0.1797 c. M: 0.2474 c. 1101: 194 194 69 187 194 193 70 N SD: 0.1573 c. M: 0.3137 c. 1118: 197 197 70 190 197 196 71 N SD: 0.1457 c. M: 0.2270 c. 1171: 206 207 73 199 206 206 74 N SD: 0.1446 c. M:-0.3007 c. 1183: 208 209 74 201 208 208 75 N SD: 0.1423 c. M: 0.2582 c. 1200: 211 212 75 204 211 211 76 N SD: 0.1209 c. M: 0.2364 c. 1217: 214 215 76 207 214 214 77 N SD: 0.1173 c. M: 0.2258 c. 1234: 217 218 77 210 217 217 78 N SD: 0.1315 c. M: 0.2154 c. 1251: 220 221 78 213 220 220 79 N SD: 0.1577 c. M: 0.2053 c. 1260: 222 222 79 214 222 221 80 N SD: 0.1260 c. M: 0.2099 c. 1277: 225 225 80 217 225 224 81 N SD: 0.1198 c. M:-0.1993 c. 1342: 236 237 84 228 236 236 85 N SD: 0.1172 c. M: 0.2257 c. 1359: 239 240 85 231 239 239 86 N SD: 0.1016 c. M: 0.1989 c. 1376: 242 243 86 234 242 242 87 N SD: 0.1029 c. M: 0.1899 c. 1393: 245 246 87 237 245 245 88 N SD: 0.1194 c. M: 0.1812 c. 1419: 250 250 89 241 250 249 90 N SD: 0.1068 c. M:-0.1801 c. 1436: 253 253 90 244 253 252 91 N SD: 0.1052 c. M:-0.1842 c. 1472: 259 260 92 250 259 259 93 N SD: 0.1152 c. M:-0.1705 c. 1501: 264 265 94 255 264 264 95 N SD: 0.1025 c. M: 0.2001 c. 1518: 267 268 95 258 267 267 96 N SD: 0.0924 c. M: 0.1692 c. 1535: 270 271 96 261 270 270 97 N SD: 0.0973 c. M: 0.1615 c. 1578: 278 278 99 268 278 277 100 N SD: 0.0968 c. M:-0.1704 c. 1660: 292 293 104 282 292 292 105 N SD: 0.0956 c. M: 0.1794 c. 1677: 295 296 105 285 295 295 106 N SD: 0.0902 c. M: 0.1452 c. 2017: 355 356 126 343 355 354 128 N SD: 0.0852 c. M: 0.1722 c. 2034: 358 359 127 346 358 357 129 N SD: 0.0880 c. M: 0.1257 c. 2113: 372 373 132 359 372 371 134 N SD: 0.0791 c. M:-0.1678 c. 2130: 375 376 133 362 375 374 135 N SD: 0.0746 c. M:-0.1713 c. 2159: 380 381 135 367 380 379 137 N SD: 0.0688 c. M: 0.1658 c. 2176: 383 384 136 370 383 382 138 N SD: 0.0644 c. M: 0.1224 c. 2193: 386 387 137 373 386 385 139 N SD: 0.0703 c. M:-0.0970 c. 2272: 400 401 142 386 400 399 144 N SD: 0.0610 c. M:-0.1361 c. 2289: 403 404 143 389 403 402 145 N SD: 0.0589 c. M:-0.1396 c. 2318: 408 409 145 394 408 407 147 N SD: 0.0494 c. M: 0.1196 c. 2335: 411 412 146 397 411 410 148 N SD: 0.0475 c. M: 0.0794 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: 0.0000 cents 3 x x 4 x 5 x 6 S SD: 9.6109 cents 4 x 5 x 6:7 x 8 S SD: 16.6504 cents 5:6 x 7 x 8 x 10 S SD: 41.7854 cents 6:7 x 8:9:10:11:12 S SD: 16.2448 cents 7:8:9 x 11:12:13:14 SD: 16.8046 cents 8:9:10:11:12:14:15:16 S SD: 13.2523 cents 9:10 x 12:14:15:17:18 SD: 13.0751 cents 10:11:13 x 15:17:19:20 SD: 9.5893 cents 13:15 x 17:20:22:25:26 SD: 11.1242 cents 14:16:18:19:21:24:27:28 SD: 6.4701 cents 21:24:27:28:32:36:40:42 S SD: 5.9901 cents 22:25:28:29:33:37:42:44 SD: 3.8237 cents 24:27:31:32:36:41:46:48 SD: 3.6667 cents 30:34:38:40:45:51:57:60 SD: 2.8961 cents 32:36:41:43:48:54:61:64 SD: 2.7753 cents 36:41:46:48:54:61:69:72 SD: 2.0256 cents 46:52:59:61:69:78:88:92 SD: 1.7817 cents 54:61:69:72:81:92:103:108 SD: 1.5914 cents 62:70:79:83:93:105:119:124 SD: 1.3184 cents 69:78:88:92:104:117:132:138 SD: 1.2455 cents 72:81:92:96:108:122:138:144 SD: 1.1165 cents 84:95:107:112:126:142:161:168 SD: 0.9306 cents 102:115:130:136:153:173:195:204 SD: 0.7600 cents 108:122:138:144:162:183:207:216 SD: 0.3899 cents 138:156:176:184:207:234:264:276 SD: 0.3614 cents 210:237:268:280:315:356:402:420 SD: 0.2951 cents 246:278:314:328:369:417:471:492 SD: 0.1299 cents 462:522:590:616:693:783:884:924 SD: 0.1161 cents 546:617:697:728:819:925:1045:1092 SD: 0.1036 cents 570:644:728:760:855:966:1091:1140 SD: 0.0942 cents