Scala analysis: Greece_Grave
Grave (Voice), Greece
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 200.000 cents 200.000000 2: 373.000 cents 373.000000 3: 490.000 cents 490.000000 4: 684.000 cents 684.000000 5: 891.000 cents 891.000000 6: 1202.000 cents 1202.000000
SHOW/INTERVAL
0: 311.0000 cents 311.0000 1: 200.0000 cents 200.0000 2: 173.0000 cents 173.0000 3: 117.0000 cents 117.0000 4: 194.0000 cents 194.0000 5: 207.0000 cents 207.0000 6: 311.0000 cents 311.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 117.00000 cents 1: 1 173.00000 cents 1: 1 194.00000 cents 1: 1 200.00000 cents 1: 1 207.00000 cents 1: 1 311.00000 cents 2: 1 290.00000 cents 2: 1 311.00000 cents 2: 1 373.00000 cents 2: 1 401.00000 cents 2: 1 511.00000 cents 2: 1 518.00000 cents 3: 1 484.00000 cents 3: 1 490.00000 cents 3: 1 518.00000 cents 3: 1 684.00000 cents 3: 1 712.00000 cents 3: 1 718.00000 cents 4: 1 684.00000 cents 4: 1 691.00000 cents 4: 1 801.00000 cents 4: 1 829.00000 cents 4: 1 891.00000 cents 4: 1 912.00000 cents 5: 1 891.00000 cents 5: 1 995.00000 cents 5: 1 1002.00000 cents 5: 1 1008.00000 cents 5: 1 1029.00000 cents 5: 1 1085.00000 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 6.00000 = 6
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 200.0 373.0 490.0 684.0 891.0 1202.0 200.0 : 173.0 290.0 484.0 691.0 1002.0 1202.0 373.0 : 117.0 311.0 518.0 829.0 1029.0 1202.0 490.0 : 194.0 401.0 712.0 912.0 1085.0 1202.0 684.0 : 207.0 518.0 718.0 891.0 1008.0 1202.0 891.0 : 311.0 511.0 684.0 801.0 995.0 1202.0 1202.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 117.0000 .. 311.0000 cents 194.00000 cents 117.00000 cents 2: 290.0000 .. 518.0000 cents 228.00000 cents -21.00000 cents 3: 484.0000 .. 718.0000 cents 234.00000 cents -34.00000 cents 4: 684.0000 .. 912.0000 cents 228.00000 cents -34.00000 cents 5: 891.0000 .. 1085.0000 cents 194.00000 cents -21.00000 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 117.00000 cents, class 1 Average step (divided formal octave): 200.3333 cents Largest one step interval : 311.00000 cents Average / Smallest step : 1.712251 Largest / Average step : 1.552413 Largest / Smallest step : 2.658120 Median interval of one step : 197.00000 cents, amount: 0 Least squares average step : 184.82418 cents, oct.: 1108.94505 cents Scale is not proper Scale is a mode of a 1202-tone equal temperament with octave 1202.000 cents degrees: 200 373 490 684 891 1202 Least number of segments generator : 603 of 603.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 619 of 619.000 cents and inv. generated superset size: 351 = 345 more = 5850.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEF Step pattern size order : DBACEF Scale is sum-free (all different intervals) Scale is not a Constant Structure Scale diversity : 1.482285 Lumma stability : 0.194676 Lumma impropriety factor : 0.091514 Rothenberg efficiency : 0.377778 redundancy: 0.622222 Efficiency x scale size : 2.266667 Number of different interval sizes : 26 = 5.20000 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 6.00000 = 6 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 6.00000 cents Number of recognisable fifths : 3, average 707.0000 cents Number of appreciable fifths : 2, average 701.5000 cents Number of recognisable fourths : 3, average 495.0000 cents Number of appreciable fourths : 2, average 500.5000 cents Formal octave complements present : 1 = 16.6667% 2/1 octave complements present : 0 = 0.0000% Limited inverse transpositions with margin 228.0000 cents: 5 -- Rational properties --
FIT/MODE
6: 1 1 0 1 1 2 N D3 SD: 62.8160 c. M: 89.6667 c. 7: 1 1 1 1 1 2 P M ME SD: 23.6872 c. M: 32.4286 c. 12: 2 2 1 2 2 3 P G D3 SD: 14.6507 c. M:-27.6667 c. Arezzo Major Diatonic Hexachord, Guidonian Hexachord, Scottish Hexatonic, Raga Kambhoji, Devarangini, Hem Kalyan, Sama (Syama) 19: 3 3 2 3 3 5 P G D3 SD: 9.8036 c. M:-16.1053 c. 23: 4 3 2 4 4 6 N SD: 9.5505 c. M: 19.6522 c. 30: 5 4 3 5 5 8 N SD: 7.5013 c. M: 12.4000 c. 32: 5 5 3 5 6 8 N SD: 7.4223 c. M: 12.1875 c. 35: 6 5 3 6 6 9 N SD: 5.0978 c. M: 9.2000 c. 42: 7 6 4 7 7 11 N SD: 2.4419 c. M: 3.8095 c. 96: 16 14 9 16 16 25 N SD: 2.4330 c. M:-4.6458 c. 100: 17 14 10 16 17 26 N SD: 2.2562 c. M:-4.3400 c. 113: 19 16 11 18 20 29 N SD: 1.9209 c. M: 3.2212 c. 116: 19 17 11 19 20 30 N SD: 1.7638 c. M: 3.1207 c. 120: 20 17 12 19 21 31 N SD: 1.5764 c. M: 2.8667 c. 128: 21 19 12 21 22 33 N SD: 1.8748 c. M: 2.7969 c. 132: 22 19 13 21 23 34 N SD: 1.0208 c. M:-1.7273 c. 155: 26 22 15 25 27 40 N SD: 1.1867 c. M:-1.6258 c. 162: 27 23 16 26 28 42 N SD: 1.0454 c. M: 2.0123 c. 167: 28 24 16 27 29 43 N SD: 1.0491 c. M:-1.5329 c. 174: 29 25 17 28 30 45 N SD: 0.2463 c. M:-0.4713 c. 390: 65 56 38 63 67 101 N SD: 0.2030 c. M:-0.3333 c. 564: 94 81 55 91 97 146 N SD: 0.1742 c. M:-0.3333 c. 638: 106 92 62 103 110 165 N SD: 0.1540 c. M: 0.2947 c. 812: 135 117 79 131 140 210 N SD: 0.0975 c. M: 0.1601 c. 854: 142 123 83 138 147 221 N SD: 0.1004 c. M: 0.1920 c. 986: 164 142 96 159 170 255 N SD: 0.0821 c. M:-0.1379 c. 1028: 171 148 100 166 177 266 N SD: 0.0417 c. M: 0.0798 c. 1202: 200 173 117 194 207 311 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 2.0000 cents 2 x x x 3 x 4 S SD: 9.0330 cents 3 x x 4 x 5:6 S SD: 3.5407 cents 4 x 5 x 6:7:8 S SD: 20.2492 cents 5 x 6:7 x 8:10 S SD: 33.3822 cents 6:7 x 8:9:10:12 S SD: 14.0099 cents 7:8 x 9:10:12:14 S SD: 20.1894 cents 8:9:10:11:12:13:16 SD: 13.7702 cents 9:10:11:12:13:15:18 SD: 9.6069 cents 15:17:19:20:22:25:30 SD: 7.7170 cents 16:18:20:21:24:27:32 SD: 5.5509 cents 24:27:30:32:36:40:48 S SD: 4.1758 cents 25:28:31:33:37:42:50 SD: 2.2693 cents 33:37:41:44:49:55:66 SD: 1.8595 cents 49:55:61:65:73:82:98 SD: 1.5032 cents 58:65:72:77:86:97:116 SD: 0.7128 cents 138:155:171:183:205:231:276 SD: 0.5897 cents 171:192:212:227:254:286:342 SD: 0.4297 cents 196:220:243:260:291:328:392 SD: 0.3956 cents 229:257:284:304:340:383:459 SD: 0.3332 cents 254:285:315:337:377:425:509 SD: 0.2835 cents 287:322:356:381:426:480:575 SD: 0.2542 cents 312:350:387:414:463:522:625 SD: 0.2448 cents 361:405:448:479:536:604:723 SD: 0.2243 cents 367:412:455:487:545:614:735 SD: 0.1950 cents 382:429:474:507:567:639:765 SD: 0.1947 cents 400:449:496:531:594:669:801 SD: 0.1861 cents 407:457:505:540:604:681:815 SD: 0.1839 cents 425:477:527:564:631:711:851 SD: 0.1128 cents 483:542:599:641:717:808:967 SD: 0.1113 cents