Scala analysis: met24-pentatonic-5prime_A
Approximate 7/6-11/8-3/2-13/8-2/1
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 264.844 cents 264.843750 2: 553.125 cents 553.125000 3: 703.125 cents 703.125000 4: 842.578 cents 842.578130 5: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 357.4219 cents 357.4219 1: 264.8438 cents 264.8438 2: 288.2812 cents 288.2812 3: 150.0000 cents 150.0000 4: 139.4531 cents 139.4531 5: 357.4219 cents 357.4219
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 139.45313 cents 1: 1 150.00000 cents 1: 1 264.84375 cents 1: 1 288.28125 cents 1: 1 357.42187 cents 2: 1 289.45313 cents 2: 1 438.28125 cents 2: 1 496.87500 cents 2: 1 553.12500 cents 2: 1 622.26562 cents 3: 1 577.73438 cents 3: 1 646.87500 cents 3: 1 703.12500 cents 3: 1 761.71875 cents 3: 1 910.54687 cents 4: 1 842.57813 cents 4: 1 911.71875 cents 4: 1 935.15625 cents 4: 1 1050.00000 cents 4: 1 1060.54687 cents Highest number of different intervals for one interval class: 5 Average number of different intervals per interval class: 5.00000 = 5
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 0.0 : 264.8 553.1 703.1 842.6 1200.0 264.8 : 288.3 438.3 577.7 935.2 1200.0 553.1 : 150.0 289.5 646.9 911.7 1200.0 703.1 : 139.5 496.9 761.7 1050.0 1200.0 842.6 : 357.4 622.3 910.5 1060.5 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 139.4531 .. 357.4219 cents 217.96874 cents 139.45313 cents 2: 289.4531 .. 622.2656 cents 332.81249 cents -67.96874 cents 3: 577.7344 .. 910.5469 cents 332.81249 cents -44.53124 cents 4: 842.5781 .. 1060.5469 cents 217.96874 cents -67.96874 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 139.45313 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 357.42187 cents Average / Smallest step : 1.721008 Largest / Average step : 1.489258 Largest / Smallest step : 2.563025 Median interval of one step : 264.84375 cents, amount: 1 Least squares average step : 233.65057 cents, oct.: 1168.25284 cents Scale is not proper Scale is a mode of a 1024-tone equal temperament with octave 2/1 degrees: 226 472 600 719 1024 Least number of segments generator : 513 of 601.172 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 911 of 1067.578 cents and inv. generated superset size: 196 = 191 more = 3920.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : CDBAE Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 1.17188 cents Scale diversity : 1.625147 Lumma stability : 0.232422 Lumma impropriety factor : 0.150391 Rothenberg efficiency : 0.400000 redundancy: 0.600000 Efficiency x scale size : 2.000000 Number of different interval sizes : 20 = 5.00000 / class Number of one step interval sizes : 5 Highest interval variety : 5 Mean interval variety : 5.00000 = 5 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 1.17188 cents Number of recognisable fifths : 1, average 703.1250 cents Formal octave complements present : 1 = 20.0000% -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
5: 1 1 1 0 2 N T3 SD: 65.2298 c. M: 122.5781 c. 7: 2 1 1 1 2 N D3 I SD: 40.2737 c. M:-78.0134 c. 9: 2 2 1 1 3 N SD: 26.5975 c. M: 42.5781 c. 10: 2 3 1 1 3 N T3 S SD: 24.9234 c. M:-46.8750 c. 13: 3 3 2 1 4 N SD: 17.5189 c. M:-35.3365 c. 17: 4 4 2 2 5 N SD: 9.6785 c. M:-17.5092 c. 24: 5 6 3 3 7 N SD: 7.6805 c. M: 14.8438 c. 26: 6 6 3 3 8 N SD: 8.9766 c. M:-12.0793 c. 31: 7 7 4 4 9 N SD: 7.5454 c. M: 11.1895 c. 33: 7 8 4 4 10 N SD: 8.3993 c. M: 12.2159 c. 36: 8 9 4 4 11 N SD: 7.5091 c. M:-13.5417 c. 37: 8 9 5 4 11 N SD: 5.3009 c. M:-10.3885 c. 41: 9 10 5 5 12 N SD: 3.1565 c. M:-6.2024 c. 50: 11 12 6 6 15 N SD: 3.4464 c. M: 7.1250 c. 58: 13 14 7 7 17 N SD: 3.9940 c. M:-5.6977 c. 63: 14 15 8 7 19 N SD: 2.3088 c. M: 4.4829 c. 85: 19 20 11 10 25 N SD: 3.0205 c. M:-4.4807 c. 87: 19 21 11 10 26 N SD: 1.4969 c. M: 2.7748 c. 104: 23 25 13 12 31 N SD: 0.5302 c. M:-0.7212 c. 258: 57 62 32 30 77 N SD: 0.5216 c. M: 0.7994 c. 295: 65 71 37 34 88 N SD: 0.4149 c. M:-0.6038 c. 336: 74 81 42 39 100 N SD: 0.3970 c. M: 0.5580 c. 386: 85 93 48 45 115 N SD: 0.3760 c. M: 0.5950 c. 430: 95 103 54 50 128 N SD: 0.3026 c. M: 0.5669 c. 440: 97 106 55 51 131 N SD: 0.3561 c. M:-0.5114 c. 449: 99 108 56 52 134 N SD: 0.3548 c. M: 0.7073 c. 471: 104 113 59 55 140 N SD: 0.3535 c. M:-0.7340 c. 490: 108 118 61 57 146 N SD: 0.2578 c. M: 0.3540 c. 534: 118 128 67 62 159 N SD: 0.2366 c. M:-0.3248 c. 575: 127 138 72 67 171 N SD: 0.2770 c. M:-0.5523 c. 584: 129 140 73 68 174 N SD: 0.2683 c. M: 0.3853 c. 594: 131 143 74 69 177 N SD: 0.2191 c. M:-0.4104 c. 638: 141 153 80 74 190 N SD: 0.2275 c. M:-0.3600 c. 662: 146 159 83 77 197 N SD: 0.2212 c. M:-0.3222 c. 679: 150 163 85 79 202 N SD: 0.2513 c. M:-0.4263 c. 688: 152 165 86 80 205 N SD: 0.1939 c. M:-0.2725 c. 729: 161 175 91 85 217 N SD: 0.1679 c. M: 0.2443 c. 792: 175 190 99 92 236 N SD: 0.1651 c. M:-0.3078 c. 816: 180 196 102 95 243 N SD: 0.1352 c. M: 0.1838 c. 920: 203 221 115 107 274 N SD: 0.0599 c. M: 0.0815 c. 1024: 226 246 128 119 305 N SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x x 2 S SD: 0.0000 cents 2 x x 3 x 4 S SD: 0.5850 cents 3 x 4 x 5:6 S SD: 23.0445 cents 4:5 x 6:7:8 S SD: 43.7998 cents 5:6:7 x 8:10 S SD: 16.3530 cents 6:7:8:9:10:12 S SD: 13.8346 cents 7:8:10 x 11:14 SD: 23.5671 cents 8:9:11:12:13:16 SD: 12.2012 cents 11:13:15:17:18:22 SD: 11.8441 cents 13:15:18:20:21:26 SD: 9.7357 cents 14:16:19:21:23:28 SD: 8.9818 cents 16:19:22:24:26:32 SD: 6.5609 cents 18:21:25:27:29:36 SD: 4.6242 cents 24:28:33:36:39:48 SD: 0.7197 cents 128:149:176:192:208:256 SD: 0.6994 cents 152:177:209:228:247:304 SD: 0.6435 cents 164:191:226:246:267:328 SD: 0.5618 cents 188:219:259:282:306:376 SD: 0.4341 cents 212:247:292:318:345:424 SD: 0.3476 cents 236:275:325:354:384:472 SD: 0.2934 cents 260:303:358:390:423:520 SD: 0.2653 cents 279:325:384:419:454:558 SD: 0.2309 cents 303:353:417:455:493:606 SD: 0.1790 cents 327:381:450:491:532:654 SD: 0.1476 cents 351:409:483:527:571:702 SD: 0.1370 cents 515:600:709:773:838:1030 SD: 0.1147 cents 539:628:742:809:877:1078 SD: 0.0818 cents 563:656:775:845:916:1126 SD: 0.0560 cents 587:684:808:881:955:1174 SD: 0.0431 cents