Scala analysis: phiter6tone
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 198.520 cents 198.520000 2: 297.780 cents 297.780000 3: 496.300 cents 496.300000 4: 664.662 cents 664.662000 5: 763.922 cents 763.922000 6: 833.024 cents 833.024000
SHOW/INTERVAL
0: 69.1020 cents 69.1020 1: 198.5200 cents 198.5200 2: 99.2600 cents 99.2600 3: 198.5200 cents 198.5200 4: 168.3620 cents 168.3620 5: 99.2600 cents 99.2600 6: 69.1020 cents 69.1020
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 69.10200 cents 1: 2 99.26000 cents 1: 1 168.36200 cents 1: 2 198.52000 cents 2: 1 168.36200 cents 2: 2 267.62200 cents 2: 2 297.78000 cents 2: 1 366.88200 cents 3: 1 336.72400 cents 3: 2 366.88200 cents 3: 2 466.14200 cents 3: 1 496.30000 cents 4: 1 466.14200 cents 4: 2 535.24400 cents 4: 2 565.40200 cents 4: 1 664.66200 cents 5: 2 634.50400 cents 5: 1 664.66200 cents 5: 2 733.76400 cents 5: 1 763.92200 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 0.0 : 198.5 297.8 496.3 664.7 763.9 833.0 198.5: 99.3 297.8 466.1 565.4 634.5 833.0 297.8: 198.5 366.9 466.1 535.2 733.8 833.0 496.3: 168.4 267.6 336.7 535.2 634.5 833.0 664.7: 99.3 168.4 366.9 466.1 664.7 833.0 763.9: 69.1 267.6 366.9 565.4 733.8 833.0 833.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 69.1020 .. 198.5200 cents 129.41800 cents 69.10200 cents 2: 168.3620 .. 366.8820 cents 198.52000 cents -30.15800 cents 3: 336.7240 .. 496.3000 cents 159.57600 cents -30.15800 cents 4: 466.1420 .. 664.6620 cents 198.52000 cents -30.15800 cents 5: 634.5040 .. 763.9220 cents 129.41800 cents -30.15800 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 69.10200 cents, class 1 Average step (divided formal octave): 138.8373 cents Largest one step interval : 198.52000 cents Average / Smallest step : 2.009165 Largest / Average step : 1.429875 Largest / Smallest step : 2.872855 Median interval of one step : 133.81100 cents, amount: 0 Least squares average step : 151.20200 cents, oct.: 907.21200 cents Scale is not proper Scale is a mode of a 663-tone equal temperament with octave 833.024 cents degrees: 158 237 395 529 608 663 Least number of segments generator : 332 of 417.140 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 371 of 466.142 cents and inv. generated superset size: 11 = 5 more = 183.333% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABACBD Step pattern size order : DBDCBA Scale is not a Constant Structure Scale diversity : 1.216257 Lumma stability : 0.165906 Lumma impropriety factor : 0.144812 Rothenberg efficiency : 0.494444 redundancy: 0.505556 Efficiency x scale size : 2.966667 Number of different interval sizes : 16 = 3.20000 / 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 : 30.15800 cents Most common intervals : 366.88200 cents & inv., amount: 3 Most common triad is 0.0 366.882 466.142 cents, amount: 2 Number of recognisable fifths : 0 Number of recognisable fourths : 1, average 496.3000 cents Formal octave complements present : 1 = 16.6667% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 67.2615 c. M: 109.3127 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 7: 1 1 2 1 1 1 P M ME SD: 54.2338 c. M: 79.5166 c. 8: 2 1 2 1 1 1 P D3 SD: 24.8960 c. M: 39.8940 c. 9: 2 1 2 2 1 1 P D3 SD: 20.5655 c. M: 33.5089 c. 10: 2 2 2 2 1 1 P D3 S SD: 20.3753 c. M:-35.4296 c. 11: 3 1 3 2 1 1 N SD: 19.6671 c. M:-33.8062 c. 12: 3 1 3 3 1 1 N D3 SD: 15.6968 c. M:-29.5247 c. 13: 3 2 3 2 2 1 P SD: 15.3447 c. M: 23.8743 c. 14: 3 2 3 3 2 1 P SD: 12.9567 c. M: 20.2863 c. 17: 4 2 4 4 2 1 N SD: 12.3844 c. M:-21.3578 c. 20: 5 2 5 4 2 2 N SD: 7.6440 c. M: 14.2004 c. 25: 6 3 6 5 3 2 N SD: 2.1569 c. M:-3.5144 c. 59: 14 7 14 12 7 5 N SD: 1.3092 c. M: 2.1332 c. 84: 20 10 20 17 10 7 N SD: 0.2776 c. M: 0.4524 c. 193: 46 23 46 39 23 16 N SD: 0.0377 c. M:-0.0615 c. 470: 112 56 112 95 56 39 N SD: 0.0186 c. M: 0.0304 c. 663: 158 79 158 134 79 55 N SD: 0.0022 c. M: 0.0037 c. 2182: 520 260 520 441 260 181 N SD: 0.0013 c. M:-0.0021 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 366.9760 cents 2 x x x 3 x x S SD: 37.2930 cents 3 x x 4 x x 5 S SD: 25.6822 cents 4 x 5 x 6 x x S SD: 48.0338 cents 5 x 6 x 7 x 8 S SD: 28.7548 cents 6 x 7:8:9 x 10 S SD: 17.6501 cents 7:8 x 9:10:11 x S SD: 21.4824 cents 8:9:10:11:12 x 13 S SD: 22.2183 cents 9:10:11:12:13:14:15 H SD: 13.0687 cents 10:11:12:13:15 x 16 SD: 14.1114 cents 11:12:13:15:16:17:18 SD: 11.5021 cents 12:13:14:16:18:19 x S SD: 16.6658 cents 13:15 x 17:19:20:21 SD: 12.3840 cents 15:17:18:20:22:23:24 SD: 6.6680 cents 21:24:25:28:31:33:34 SD: 6.5065 cents 23:26:27:31:34:36:37 SD: 6.2264 cents 24:27:29:32:35:37:39 SD: 6.0596 cents 25:28:30:33:37:39:40 SD: 5.7159 cents 26:29:31:35:38:40:42 SD: 4.9041 cents 27:30:32:36:40:42:44 S SD: 4.3485 cents 32:36:38:43:47:50:52 SD: 3.3062 cents 42:47:50:56:62:65:68 SD: 2.2920 cents 49:55:58:65:72:76:79 SD: 1.9978 cents 58:65:69:77:85:90:94 SD: 1.4013 cents 81:91:96:108:119:126:131 SD: 0.8918 cents 117:131:139:156:172:182:189 SD: 0.8489 cents 123:138:146:164:181:191:199 SD: 0.8458 cents 133:149:158:177:195:207:215 SD: 0.6834 cents 139:156:165:185:204:216:225 SD: 0.3985 cents 256:287:304:341:376:398:414 SD: 0.2293 cents 346:388:411:461:508:538:560 SD: 0.1471 cents 395:443:469:526:580:614:639 SD: 0.1425 cents 485:544:576:646:712:754:785 SD: 0.1119 cents