Scala analysis: met24-pentatonic-proper_5-prime_F
Approximate 63/52-11/8-3/2-7/4-2/1
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 332.813 cents 332.812500 2: 553.125 cents 553.125000 3: 703.125 cents 703.125000 4: 967.969 cents 967.968750 5: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 232.0312 cents 232.0312 1: 332.8125 cents 332.8125 2: 220.3125 cents 220.3125 3: 150.0000 cents 150.0000 4: 264.8437 cents 264.8437 5: 232.0312 cents 232.0312
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 150.00000 cents 1: 1 220.31250 cents 1: 1 232.03125 cents 1: 1 264.84375 cents 1: 1 332.81250 cents 2: 1 370.31250 cents 2: 1 414.84375 cents 2: 1 496.87500 cents 2: 1 553.12500 cents 2: 1 564.84375 cents 3: 1 635.15625 cents 3: 1 646.87500 cents 3: 1 703.12500 cents 3: 1 785.15625 cents 3: 1 829.68750 cents 4: 1 867.18750 cents 4: 1 935.15625 cents 4: 1 967.96875 cents 4: 1 979.68750 cents 4: 1 1050.00000 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 : 332.8 553.1 703.1 968.0 1200.0 332.8 : 220.3 370.3 635.2 867.2 1200.0 553.1 : 150.0 414.8 646.9 979.7 1200.0 703.1 : 264.8 496.9 829.7 1050.0 1200.0 968.0 : 232.0 564.8 785.2 935.2 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 150.0000 .. 332.8125 cents 182.81250 cents 150.00000 cents 2: 370.3125 .. 564.8438 cents 194.53125 cents 37.50000 cents 3: 635.1562 .. 829.6875 cents 194.53125 cents 70.31250 cents 4: 867.1875 .. 1050.0000 cents 182.81250 cents 37.50000 cents
SHOW DATA
Number of notes : 5 -- Interval properties -- Smallest interval : 150.00000 cents, class 1 Average step (divided formal octave): 240.0000 cents Largest one step interval : 332.81250 cents Average / Smallest step : 1.600000 Largest / Average step : 1.386719 Largest / Smallest step : 2.218750 Median interval of one step : 232.03125 cents, amount: 1 Least squares average step : 244.00568 cents, oct.: 1220.02841 cents Scale is strictly proper Scale is a mode of a 512-tone equal temperament with octave 2/1 degrees: 142 236 300 413 512 Least number of segments generator : 257 of 602.344 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 319 of 747.656 cents and inv. generated superset size: 80 = 75 more = 1600.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDE Step pattern size order : EBADC Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 37.50000 cents Scale diversity : 1.667651 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.371094 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 : 11.71875 cents Number of recognisable fifths : 1, average 703.1250 cents Best fifths form a closed circle Formal octave complements present : 1 = 20.0000% -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
5: 1 1 1 1 1 SP B ME I SD: 53.4971 c. M: 92.8125 c. 6: 2 1 1 1 1 P M ME S SD: 58.5187 c. M:-96.8750 c. 7: 2 1 1 2 1 P M ME S SD: 33.4222 c. M:-60.6027 c. Thai mode 6 9: 2 2 1 2 2 SP M ME I SD: 38.1990 c. M: 66.1458 c. 10: 3 2 1 2 2 P T3 SD: 25.6308 c. M:-46.8750 c. 11: 3 2 1 3 2 P T3 SD: 22.9839 c. M: 48.5795 c. 14: 4 2 2 3 3 P SD: 22.5527 c. M: 38.8393 c. 15: 4 3 2 3 3 SP T3 SD: 10.5801 c. M:-16.8750 c. 22: 6 4 3 5 4 SP SD: 7.9615 c. M:-13.8494 c. 26: 7 5 3 6 5 SP SD: 6.5408 c. M: 10.8173 c. 32: 9 6 4 7 6 SP SD: 7.0312 c. M:-9.3750 c. 36: 10 7 4 8 7 SP SD: 6.2467 c. M:-13.5417 c. 41: 11 8 5 9 8 SP SD: 5.1332 c. M: 10.8613 c. 43: 12 8 5 10 8 SP SD: 5.2183 c. M:-8.7754 c. 46: 13 8 6 10 9 SP SD: 3.9258 c. M:-6.3179 c. 58: 16 11 7 13 11 SP SD: 3.2627 c. M:-5.4957 c. 61: 17 11 8 13 12 SP SD: 3.1596 c. M:-5.0717 c. 72: 20 13 9 16 14 SP SD: 2.0735 c. M: 3.1250 c. 87: 24 16 11 19 17 SP SD: 1.4992 c. M: 2.4515 c. 104: 29 19 13 23 20 SP SD: 1.0847 c. M:-1.8029 c. 130: 36 24 16 29 25 SP SD: 0.9884 c. M: 1.5865 c. 176: 49 32 22 39 34 SP SD: 0.7915 c. M:-1.2784 c. 191: 53 35 24 42 37 SP SD: 0.3364 c. M:-0.5399 c. 321: 89 59 40 71 62 SP SD: 0.2001 c. M: 0.3213 c. 512: 142 94 64 113 99 SP 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: 33.3740 cents 4:5 x 6:7:8 S SD: 13.3802 cents 8:10:11:12:14:16 S SD: 10.7103 cents 14:17:19:21:24:28 SD: 8.5402 cents 16:19:22:24:28:32 SD: 7.0751 cents 18:22:25:27:31:36 SD: 6.8646 cents 19:23:26:29:33:38 SD: 6.6120 cents 23:28:32:35:40:46 SD: 6.5363 cents 24:29:33:36:42:48 SD: 1.1368 cents 56:68:77:84:98:112 SD: 0.8092 cents 80:97:110:120:140:160 SD: 0.4883 cents 104:126:143:156:182:208 SD: 0.4789 cents 170:206:234:255:297:340 SD: 0.4763 cents 184:223:253:276:322:368 SD: 0.4634 cents 194:235:267:291:339:388 SD: 0.4500 cents 207:251:285:311:362:414 SD: 0.3836 cents 212:257:292:318:371:424 SD: 0.3814 cents 231:280:318:347:404:462 SD: 0.2766 cents 255:309:351:383:446:510 SD: 0.2267 cents 311:377:428:467:544:622 SD: 0.1663 cents 335:406:461:503:586:670 SD: 0.1383 cents 467:566:643:701:817:934 SD: 0.1290 cents 491:595:676:737:859:982 SD: 0.1199 cents 547:663:753:821:957:1094 SD: 0.0984 cents 571:692:786:857:999:1142 SD: 0.0950 cents