Scala analysis: mavsynch7
Mavilla[7] in synch (brat=-1) tuning
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 152.674 cents 152.674307 2: 370.989 cents 370.988539 3: 523.663 cents 523.662846 4: 676.337 cents 676.337154 5: 829.011 cents 829.011461 6: 1047.326 cents 1047.325693 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 152.6743 cents 152.6743 1: 152.6743 cents 152.6743 2: 218.3142 cents 218.3142 3: 152.6743 cents 152.6743 4: 152.6743 cents 152.6743 5: 152.6743 cents 152.6743 6: 218.3142 cents 218.3142 7: 152.6743 cents 152.6743
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 5 152.67431 cents 1: 2 218.31423 cents 2: 3 305.34861 cents 2: 4 370.98854 cents 3: 1 458.02292 cents 3: 6 523.66285 cents 4: 6 676.33715 cents 4: 1 741.97708 cents 5: 4 829.01146 cents 5: 3 894.65139 cents 6: 2 981.68577 cents 6: 5 1047.32569 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 4 5 6 7 0.0 : 152.7 371.0 523.7 676.3 829.0 1047.3 1200.0 152.7 : 218.3 371.0 523.7 676.3 894.7 1047.3 1200.0 371.0 : 152.7 305.3 458.0 676.3 829.0 981.7 1200.0 523.7 : 152.7 305.3 523.7 676.3 829.0 1047.3 1200.0 676.3 : 152.7 371.0 523.7 676.3 894.7 1047.3 1200.0 829.0 : 218.3 371.0 523.7 742.0 894.7 1047.3 1200.0 1047.3: 152.7 305.3 523.7 676.3 829.0 981.7 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 152.6743 .. 218.3142 cents 65.63993 cents 152.67431 cents 2: 305.3486 .. 370.9885 cents 65.63992 cents 87.03438 cents 3: 458.0229 .. 523.6628 cents 65.63992 cents 87.03438 cents 4: 676.3372 .. 741.9771 cents 65.63992 cents 152.67431 cents 5: 829.0115 .. 894.6514 cents 65.63992 cents 87.03438 cents 6: 981.6858 .. 1047.3257 cents 65.63992 cents 87.03438 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 152.67431 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 218.31423 cents Average / Smallest step : 1.122838 Largest / Average step : 1.273500 Largest / Smallest step : 1.429934 Median interval of one step : 152.67431 cents, amount: 5 Most common interval of one step : 152.67431 cents, amount: 5 Least squares average step : 171.42857 cents, oct.: 1200.00000 cents Scale is strictly proper Scale has Myhill's property chromas: 65.63993 cents and 87.03438 cents, ratio: 1.325937 generators: 3 of 523.66285 cents and 4 of 676.33715 cents ET pair of linear temperament : 16&55 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 786-tone equal temperament with octave 1200.000 cents degrees: 100 243 343 443 543 686 786 generators: 343 and 443 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABAAABA Step pattern size order : SLSSSLS Scale is a Constant Structure, by a margin of 87.03438 cents Scale diversity : 1.251591 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.671800 Rothenberg efficiency : 0.761905 redundancy: 0.238095 Efficiency x scale size : 5.333333 Number of different interval sizes : 12 = 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 : 65.63992 cents Most common intervals : 523.66285 cents & inv., amount: 6 Scale is a chain of 3 triads 0.0 523.663 1047.326 cents Most common triad is 0.0 523.663 676.337 cents, amount: 5 Number of recognisable fifths : 0 Scale contains two identical disjunct tetrachords Best fifths form a closed circle Best minor thirds form a closed circle Formal octave complements present : 7 = 100.0000% Inversional symmetry on degrees : 0 Inversional symmetry on intervals : 3-4 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 18.7543 c. M: 28.1314 c. Lebeng 16: 2 3 2 2 2 3 2 SP M ME I SD: 2.6743 c. M: 4.0115 c. Armodue-7, Antidorian 39: 5 7 5 5 5 7 5 SP M DE I SD: 1.1718 c. M: 1.7578 c. Armodue-7, Antidorian 55: 7 10 7 7 7 10 7 SP M DE I SD: 0.0530 c. M: 0.0794 c. Armodue-7 456: 58 83 58 58 58 83 58 SP M DE I SD: 0.0427 c. M: 0.0641 c. 511: 65 93 65 65 65 93 65 SP M DE I SD: 0.0324 c. M: 0.0486 c. 566: 72 103 72 72 72 103 72 SP M DE I SD: 0.0241 c. M: 0.0362 c. 621: 79 113 79 79 79 113 79 SP M DE I SD: 0.0173 c. M: 0.0260 c. 676: 86 123 86 86 86 123 86 SP M DE I SD: 0.0116 c. M: 0.0174 c. 731: 93 133 93 93 93 133 93 SP M DE I SD: 0.0067 c. M: 0.0101 c. 786: 100 143 100 100 100 143 100 SP M DE I SD: 0.0026 c. M: 0.0038 c. 841: 107 153 107 107 107 153 107 SP M DE I SD: 0.0011 c. M: 0.0016 c. 1627: 207 296 207 207 207 296 207 SP M DE I SD: 0.0007 c. M: 0.0010 c.
FIT/HARMONIC
1 x x x x x x 2 S SD: 0.0000 cents 2 x x x 3 x x 4 S SD: 12.8089 cents 3 x x 4 x 5 x 6 S SD: 20.3295 cents 4 x 5 x 6 x 7:8 S SD: 20.9961 cents 5 x 6:7 x 8:9:10 S SD: 17.4874 cents 6 x 7:8:9:10:11:12 S SD: 20.5619 cents 7:8:9 x 10:11:13:14 SD: 21.4035 cents 8:9:10:11:12:13:15:16 SD: 11.1483 cents 11:12:14:15:16:18:20:22 S SD: 8.8267 cents 12:13:15:16:18:19:22:24 SD: 7.6526 cents 17:19:21:23:25:27:31:34 SD: 7.1923 cents 19:21:24:26:28:31:35:38 SD: 6.9865 cents 20:22:25:27:30:32:37:40 SD: 5.7292 cents 21:23:26:28:31:34:38:42 SD: 4.8152 cents 23:25:29:31:34:37:42:46 SD: 4.7261 cents 25:27:31:34:37:40:46:50 SD: 3.9503 cents 29:32:36:39:43:47:53:58 SD: 3.2972 cents 31:34:38:42:46:50:57:62 SD: 3.1933 cents 33:36:41:45:49:53:60:66 SD: 3.1865 cents 34:37:42:46:50:55:62:68 SD: 2.0568 cents 42:46:52:57:62:68:77:84 SD: 1.3183 cents 54:59:67:73:80:87:99:108 SD: 0.9223 cents 88:96:109:119:130:142:161:176 SD: 0.4349 cents 130:142:161:176:192:210:238:260 SD: 0.3002 cents 184:201:228:249:272:297:337:368 SD: 0.0880 cents 456:498:565:617:674:736:835:912 SD: 0.0484 cents 586:640:726:793:866:946:1073:1172 SD: 0.0392 cents