Scala analysis: zest24_Suz-i_Dilara_Dbup
Zest-24 Suz-i Dilara, approximately septimal
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 216.797 cents 216.796880 2: 433.594 cents 433.593750 3: 503.906 cents 503.906260 4: 707.812 cents 707.812500 5: 925.781 cents 925.781260 6: 1129.688 cents 1129.687500 7: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 70.3125 cents 70.3125 1: 216.7969 cents 216.7969 2: 216.7969 cents 216.7969 3: 70.3125 cents 70.3125 4: 203.9062 cents 203.9062 5: 217.9688 cents 217.9688 6: 203.9062 cents 203.9062 7: 70.3125 cents 70.3125
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 70.31251 cents 1: 2 203.90624 cents 1: 2 216.79688 cents 1: 1 217.96876 cents 2: 2 274.21875 cents 2: 2 287.10938 cents 2: 2 421.87500 cents 2: 1 433.59375 cents 3: 2 491.01562 cents 3: 2 492.18751 cents 3: 2 503.90626 cents 3: 1 625.78124 cents 4: 1 574.21876 cents 4: 2 696.09375 cents 4: 2 707.81250 cents 4: 2 708.98438 cents 5: 1 766.40625 cents 5: 2 778.12500 cents 5: 2 912.89062 cents 5: 2 925.78126 cents 6: 1 982.03124 cents 6: 2 983.20312 cents 6: 2 996.09376 cents 6: 2 1129.68750 cents Highest number of different intervals for one interval class: 4 Average number of different intervals per interval class: 4.00000 = 4
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 216.8 433.6 503.9 707.8 925.8 1129.7 1200.0 216.8 : 216.8 287.1 491.0 709.0 912.9 983.2 1200.0 433.6 : 70.3 274.2 492.2 696.1 766.4 983.2 1200.0 503.9 : 203.9 421.9 625.8 696.1 912.9 1129.7 1200.0 707.8 : 218.0 421.9 492.2 709.0 925.8 996.1 1200.0 925.8 : 203.9 274.2 491.0 707.8 778.1 982.0 1200.0 1129.7: 70.3 287.1 503.9 574.2 778.1 996.1 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: 274.2188 .. 433.5937 cents 159.37500 cents 56.24999 cents 3: 491.0156 .. 625.7812 cents 134.76562 cents 57.42187 cents 4: 574.2188 .. 708.9844 cents 134.76562 cents -51.56248 cents 5: 766.4063 .. 925.7813 cents 159.37501 cents 57.42187 cents 6: 982.0312 .. 1129.6875 cents 147.65626 cents 56.24998 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: 2 Least squares average step : 180.24275 cents, oct.: 1261.69922 cents Scale is not proper Scale is a mode of a 1024-tone equal temperament with octave 2/1 degrees: 185 370 430 604 790 964 1024 Least number of segments generator : 513 of 601.172 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 783 of 917.578 cents and inv. generated superset size: 147 = 140 more = 2100.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: AABCDCB Step pattern size order : CCABDBA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 51.56248 cents Scale diversity : 1.328314 Lumma stability : 0.306641 Lumma impropriety factor : 0.042969 Rothenberg efficiency : 0.408163 redundancy: 0.591837 Efficiency x scale size : 2.857143 Number of different interval sizes : 24 = 4.00000 / class Number of one step interval sizes : 4 Highest interval variety : 4 Mean interval variety : 4.00000 = 4 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 : 2 Inversional symmetry on degrees : 1 Inversional symmetry on intervals : 4-5 -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 60.7373 c. M: 101.1161 c. Lebeng 8: 1 2 0 2 1 2 0 N T3 SD: 46.3298 c. M:-70.3125 c. 9: 1 2 1 1 2 1 1 P M ME S SD: 45.7982 c. M: 83.4635 c. Pelog Saptanada: Sunda 10: 2 2 0 2 2 1 1 P D3 S SD: 31.7394 c. M: 49.6875 c. 12: 2 2 1 2 2 2 1 P M ME S SD: 20.8155 c. M: 33.5937 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 14: 3 2 1 2 3 2 1 P T3 SD: 19.9209 c. M:-40.3460 c. 16: 3 3 1 2 3 3 1 P SD: 19.0665 c. M: 32.8125 c. 17: 3 3 1 3 3 3 1 N M DE S SD: 6.4631 c. M: 10.0643 c. Seventeen-tone Major 39: 7 7 2 7 7 7 2 N M DE S SD: 5.7173 c. M: 11.5986 c. 49: 9 9 3 8 9 8 3 N S SD: 5.5028 c. M:-10.3795 c. 52: 9 10 3 9 9 9 3 N SD: 5.1650 c. M: 9.1046 c. 53: 10 9 3 9 10 9 3 N T3 SD: 5.1386 c. M:-9.6182 c. 57: 10 11 3 10 10 10 3 N SD: 5.7161 c. M:-8.5115 c. 61: 11 11 4 10 11 10 4 N S SD: 4.3066 c. M: 8.3760 c. 64: 12 11 4 11 11 11 4 N SD: 4.9521 c. M:-8.2031 c. 66: 12 12 4 11 12 11 4 N S SD: 2.5680 c. M:-5.1846 c. 83: 15 15 5 14 15 14 5 N S SD: 1.1360 c. M:-2.1178 c. 100: 18 18 6 17 18 17 6 N S SD: 1.1489 c. M: 1.7813 c. 105: 19 19 6 18 19 18 6 N S SD: 0.8710 c. M:-1.7411 c. 171: 31 31 10 29 31 29 10 N S SD: 0.9147 c. M:-1.4940 c. 188: 34 34 11 32 34 32 11 N S SD: 0.3651 c. M:-0.6981 c. 310: 56 56 18 53 56 53 18 N S SD: 0.4756 c. M: 0.6805 c. 393: 71 71 23 67 71 67 23 N S SD: 0.3174 c. M: 0.5904 c. 526: 95 95 31 89 96 89 31 N S SD: 0.3421 c. M: 0.5882 c. 543: 98 98 32 92 99 92 32 N S SD: 0.3474 c. M: 0.6302 c. 548: 99 99 32 93 100 93 32 N S SD: 0.3007 c. M: 0.5132 c. 631: 114 114 37 107 115 107 37 N S SD: 0.1977 c. M:-0.3677 c. 648: 117 117 38 110 118 110 38 N S SD: 0.2119 c. M: 0.4051 c. 714: 129 129 42 121 130 121 42 N S SD: 0.2065 c. M:-0.2954 c. 731: 132 132 43 124 133 124 43 N S SD: 0.1797 c. M: 0.2886 c. 736: 133 133 43 125 134 125 43 N S SD: 0.1690 c. M:-0.3057 c. 819: 148 148 48 139 149 139 48 N S SD: 0.1165 c. M:-0.2261 c. 836: 151 151 49 142 152 142 49 N S SD: 0.0821 c. M: 0.1570 c. 1024: 185 185 60 174 186 174 60 N S 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: 2.9287 cents 3 x x 4 x 5 x 6 S SD: 13.9451 cents 4 x 5 x 6:7 x 8 S SD: 16.0518 cents 5:6 x 7:8:9 x 10 S SD: 37.7298 cents 6:7 x 8:9:10 x 12 S SD: 13.1025 cents 7:8:9 x 11:12:13:14 SD: 15.9881 cents 8:9:10:11:12:14:15:16 S SD: 12.9772 cents 9:10 x 12:14:15:17:18 SD: 13.9585 cents 10:11:13 x 15:17:19:20 SD: 9.9090 cents 13:15:17 x 20:22:25:26 SD: 9.9733 cents 14:16:18:19:21:24:27:28 SD: 4.4386 cents 16:18 x 21:24:27:31:32 SD: 7.3218 cents 17:19:22:23:26:29:33:34 SD: 6.7710 cents 18:20:23:24:27:31:35:36 SD: 6.4464 cents 20:23:26:27:30:34:38:40 SD: 5.9424 cents 21:24:27:28:32:36:40:42 S SD: 4.4167 cents 24:27:31:32:36:41:46:48 SD: 2.6258 cents 38:43:49:51:57:65:73:76 SD: 1.6164 cents 59:67:76:79:89:101:113:118 SD: 1.4039 cents 74:84:95:99:111:126:142:148 SD: 1.1390 cents 89:101:114:119:134:152:171:178 SD: 0.8162 cents 112:127:144:150:169:191:215:224 SD: 0.7709 cents 113:128:145:151:170:193:217:226 SD: 0.4591 cents 127:144:163:170:191:217:244:254 SD: 0.4246 cents 204:231:262:273:307:348:392:408 SD: 0.3346 cents 225:255:289:301:339:384:432:450 SD: 0.2727 cents 263:298:338:352:396:449:505:526 SD: 0.1982 cents 337:382:433:451:507:575:647:674 SD: 0.1946 cents 352:399:452:471:530:601:676:704 SD: 0.1567 cents 376:426:483:503:566:642:722:752 SD: 0.1216 cents