Scala analysis: 626_T33
Aristoxenian style tetrachord 6 + 18 + 6, Athanasopoulos
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 100.000 cents 100.000000 2: 400.000 cents 400.000000 3: 500.000 cents 500.000000
SHOW/INTERVAL
0: 100.0000 cents 100.0000 1: 100.0000 cents 100.0000 2: 300.0000 cents 300.0000 3: 100.0000 cents 100.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 2 100.00000 cents 1: 1 300.00000 cents 2: 1 200.00000 cents 2: 2 400.00000 cents Highest number of different intervals for one interval class: 2 Average number of different intervals per interval class: 2.00000 = 2
SHOW/LINE/CENTS INTERVALS
1 2 3 0.0 : 100.0 400.0 500.0 100.0: 300.0 400.0 500.0 400.0: 100.0 200.0 500.0 500.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 100.0000 .. 300.0000 cents 200.00000 cents 100.00000 cents 2: 200.0000 .. 400.0000 cents 200.00000 cents -100.00000 cents
SHOW DATA
Number of notes : 3 -- Interval properties -- Smallest interval : 100.00000 cents, class 1 Average step (divided formal octave): 166.6667 cents Largest one step interval : 300.00000 cents Average / Smallest step : 1.666667 Largest / Average step : 1.800000 Largest / Smallest step : 3.000000 Median interval of one step : 100.00000 cents, amount: 2 Most common interval of one step : 100.00000 cents, amount: 2 Least squares average step : 171.42857 cents, oct.: 514.28571 cents Scale is not proper Scale has Myhill's property chromas: 200.00000 cents and 100.00000 cents, ratio: 2.000000 generators: 1 of 100.00000 cents and 2 of 400.00000 cents ET pair of linear temperament : 10&10 Scale is distributional even Scale is a mode of a 5-tone equal temperament with octave 500.000 cents degrees: 1 4 5 generators: 1 and 4 Number of contiguous 1-step segments: 1 Scale is a Winograd/Gamer deep scale Step pattern alph. order: ABA Step pattern size order : SLS Interval vector is [ 2 1 ] Scale is a Constant Structure, by a margin of 100.00000 cents Scale diversity : 1.075073 Lumma stability : 0.400000 Lumma impropriety factor : 0.200000 Rothenberg efficiency : 0.888889 redundancy: 0.111111 Efficiency x scale size : 2.666667 Number of different interval sizes : 4 = 2.00000 / class Number of one step interval sizes : 2 Highest interval variety : 2 Mean interval variety : 2.00000 = 2 Median interval variety : 2 Lowest interval variety : 2 Smallest interval difference : 100.00000 cents Most common intervals : 100.00000 cents & inv., amount: 2 Number of recognisable fifths : 0 Number of recognisable fourths : 0 Formal octave complements present : 3 = 100.0000% 2/1 octave complements present : 0 = 0.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 1-2 -- Rational properties --
FIT/MODE
3: 1 1 1 SP B ME I SD: 54.4331 c. M: 66.6667 c. 4: 1 2 1 P M ME I SD: 20.4124 c. M: 25.0000 c. 5: 1 3 1 N M DE I SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x 2 S SD: 700.0000 cents 2 x x 3 S SD: 201.9550 cents 3 x x 4 S SD: 1.9550 cents 4 x 5 x S SD: 13.6863 cents 5 x 6:7 S SD: 59.0014 cents 6 x x 8 S SD: 1.9550 cents 7:8:9 x S SD: 67.8924 cents 8:9:10:11 H SD: 38.8989 cents 9:10:11:12 H SD: 32.5920 cents 10:11 x 13 SD: 39.7552 cents 11:12:14:15 S SD: 21.6949 cents 12:13:15:16 SD: 13.6585 cents 15:16:19:20 SD: 5.0211 cents 35:37:44:47 SD: 3.8942 cents 50:53:63:67 SD: 2.2459 cents 65:69:82:87 SD: 2.0660 cents 66:70:83:88 SD: 1.4028 cents 69:73:87:92 SD: 1.1290 cents 84:89:106:112 SD: 1.1180 cents 116:123:146:155 SD: 0.9667 cents 119:126:150:159 SD: 0.7111 cents 170:180:214:227 SD: 0.6426 cents 185:196:233:247 SD: 0.2470 cents 254:269:320:339 SD: 0.2403 cents 269:285:339:359 SD: 0.1805 cents 439:465:553:586 SD: 0.1699 cents 454:481:572:606 SD: 0.0176 cents