Scala analysis: Greece_Third
Third (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: 378.000 cents 378.000000 3: 489.000 cents 489.000000 4: 695.000 cents 695.000000 5: 889.000 cents 889.000000 6: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 311.0000 cents 311.0000 1: 200.0000 cents 200.0000 2: 178.0000 cents 178.0000 3: 111.0000 cents 111.0000 4: 206.0000 cents 206.0000 5: 194.0000 cents 194.0000 6: 311.0000 cents 311.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 111.00000 cents 1: 1 178.00000 cents 1: 1 194.00000 cents 1: 1 200.00000 cents 1: 1 206.00000 cents 1: 1 311.00000 cents 2: 1 289.00000 cents 2: 1 317.00000 cents 2: 1 378.00000 cents 2: 1 400.00000 cents 2: 1 505.00000 cents 2: 1 511.00000 cents 3: 1 489.00000 cents 3: 1 495.00000 cents 3: 1 511.00000 cents 3: 1 689.00000 cents 3: 1 705.00000 cents 3: 1 711.00000 cents 4: 1 689.00000 cents 4: 1 695.00000 cents 4: 1 800.00000 cents 4: 1 822.00000 cents 4: 1 883.00000 cents 4: 1 911.00000 cents 5: 1 889.00000 cents 5: 1 994.00000 cents 5: 1 1000.00000 cents 5: 1 1006.00000 cents 5: 1 1022.00000 cents 5: 1 1089.00000 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 : 200.0 378.0 489.0 695.0 889.0 1200.0 200.0 : 178.0 289.0 495.0 689.0 1000.0 1200.0 378.0 : 111.0 317.0 511.0 822.0 1022.0 1200.0 489.0 : 206.0 400.0 711.0 911.0 1089.0 1200.0 695.0 : 194.0 505.0 705.0 883.0 994.0 1200.0 889.0 : 311.0 511.0 689.0 800.0 1006.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 111.0000 .. 311.0000 cents 200.00000 cents 111.00000 cents 2: 289.0000 .. 511.0000 cents 222.00000 cents -22.00000 cents 3: 489.0000 .. 711.0000 cents 222.00000 cents -22.00000 cents 4: 689.0000 .. 911.0000 cents 222.00000 cents -22.00000 cents 5: 889.0000 .. 1089.0000 cents 200.00000 cents -22.00000 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 111.00000 cents, class 1 Average step (divided formal octave): 200.0000 cents Largest one step interval : 311.00000 cents Average / Smallest step : 1.801802 Largest / Average step : 1.555000 Largest / Smallest step : 2.801802 Median interval of one step : 197.00000 cents, amount: 0 Least squares average step : 185.14286 cents, oct.: 1110.85714 cents Scale is not proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 200 378 489 695 889 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 689 of 689.000 cents and inv. generated superset size: 402 = 396 more = 6700.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEF Step pattern size order : DBAECF Scale is sum-free (all different intervals) Scale is not a Constant Structure Scale diversity : 1.459394 Lumma stability : 0.185000 Lumma impropriety factor : 0.073333 Rothenberg efficiency : 0.355556 redundancy: 0.644444 Efficiency x scale size : 2.133333 Number of different interval sizes : 28 = 5.60000 / 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 Most common intervals : 511.00000 cents & inv., amount: 2 Most common triad is 0.0 511.000 689.000 cents, amount: 1 Number of recognisable fifths : 5, average 697.8000 cents Formal octave complements present : 1 = 16.6667% Limited inverse transpositions with margin 216.0000 cents: 5 -- Rational properties --
FIT/MODE
6: 1 1 0 1 1 2 N D3 SD: 65.0013 c. M: 95.0000 c. 7: 1 1 1 1 1 2 P M ME SD: 25.1390 c. M: 35.1429 c. 12: 2 2 1 2 2 3 P G D3 SD: 11.1878 c. M:-22.0000 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: 8.1568 c. M:-16.2632 c. 31: 5 5 3 5 5 8 P G D3 SD: 7.4347 c. M:-14.2258 c. 34: 6 5 3 6 5 9 N SD: 8.4850 c. M:-11.7647 c. 35: 6 5 3 6 6 9 N SD: 5.8667 c. M: 9.2857 c. 42: 7 6 4 7 7 11 N SD: 5.0166 c. M: 9.2857 c. 47: 8 7 4 8 8 12 N SD: 4.3043 c. M: 5.6383 c. 54: 9 8 5 9 9 14 N SD: 2.4973 c. M: 6.1111 c. 66: 11 10 6 11 11 17 N SD: 2.5365 c. M: 4.0909 c. 96: 16 14 9 17 15 25 N SD: 2.5331 c. M:-5.0000 c. 108: 18 16 10 19 17 28 N SD: 2.0443 c. M:-5.0000 c. 112: 19 16 11 19 18 29 N SD: 2.5415 c. M:-3.8571 c. 115: 19 17 11 20 18 30 N SD: 2.3033 c. M:-4.1304 c. 120: 20 18 11 21 19 31 N SD: 2.2730 c. M:-5.0000 c. 121: 20 18 11 21 20 31 N SD: 2.1070 c. M:-3.5620 c. 126: 21 19 11 22 20 33 N SD: 2.2496 c. M: 3.2857 c. 127: 21 19 12 22 20 33 N SD: 2.0958 c. M:-4.2126 c. 128: 21 19 12 22 21 33 N SD: 2.0502 c. M: 3.1250 c. 130: 22 19 12 22 21 34 N SD: 2.0446 c. M:-3.0769 c. 131: 22 19 12 23 21 34 N SD: 1.9193 c. M: 3.5038 c. 140: 23 21 13 24 23 36 N SD: 1.6067 c. M: 2.8571 c. 142: 24 21 13 24 23 37 N SD: 1.8896 c. M:-2.8169 c. 143: 24 21 13 25 23 37 N SD: 1.2812 c. M: 2.2867 c. 150: 25 22 14 26 24 39 N SD: 1.0801 c. M: 2.0000 c. 155: 26 23 14 27 25 40 N SD: 1.2897 c. M:-1.7742 c. 162: 27 24 15 28 26 42 N SD: 0.5407 c. M:-1.2963 c. 209: 35 31 19 36 34 54 N SD: 0.7868 c. M: 0.9617 c. 216: 36 32 20 37 35 56 N SD: 0.2526 c. M: 0.5556 c. 378: 63 56 35 65 61 98 N SD: 0.1476 c. M:-0.2381 c. 594: 99 88 55 102 96 154 N SD: 0.1130 c. M: 0.2222 c. 606: 101 90 56 104 98 157 N SD: 0.1108 c. M:-0.2178 c. 822: 137 122 76 141 133 213 N SD: 0.0679 c. M: 0.1095 c. 984: 164 146 91 169 159 255 N SD: 0.0554 c. M:-0.1220 c. 1200: 200 178 111 206 194 311 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x 4 S SD: 3.4775 cents 3 x x 4 x 5:6 S SD: 3.3888 cents 4 x 5 x 6:7:8 S SD: 20.1396 cents 5 x 6:7 x 8:10 S SD: 33.8243 cents 6:7 x 8:9:10:12 S SD: 13.5992 cents 7:8 x 9:10:12:14 S SD: 21.7571 cents 8:9:10:11:12:13:16 SD: 13.2977 cents 9:10:11:12:13:15:18 SD: 11.4956 cents 12:13:15:16:18:20:24 SD: 10.5332 cents 15:17:19:20:22:25:30 SD: 8.1289 cents 16:18:20:21:24:27:32 SD: 4.5617 cents 24:27:30:32:36:40:48 S SD: 2.5611 cents 33:37:41:44:49:55:66 SD: 2.4987 cents 40:45:50:53:60:67:80 SD: 2.0548 cents 49:55:61:65:73:82:98 SD: 0.9281 cents 73:82:91:97:109:122:146 SD: 0.8319 cents 107:120:133:142:160:179:214 SD: 0.5488 cents 156:175:194:207:233:261:312 SD: 0.4125 cents 180:202:224:239:269:301:360 SD: 0.3850 cents 221:248:275:293:330:369:442 SD: 0.3375 cents 279:313:347:370:417:466:558 SD: 0.2628 cents 328:368:408:435:490:548:656 SD: 0.1564 cents 401:450:499:532:599:670:802 SD: 0.1463 cents 508:570:632:674:759:849:1016 SD: 0.1402 cents