Scala analysis: sensisynch19
Sensi[19] in synch (brat=-1) tuning
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 70.115 cents 70.115372 2: 128.213 cents 128.213283 3: 198.329 cents 198.328655 4: 256.427 cents 256.426567 5: 314.524 cents 314.524478 6: 384.640 cents 384.639850 7: 442.738 cents 442.737761 8: 512.853 cents 512.853133 9: 570.951 cents 570.951044 10: 629.049 cents 629.048956 11: 699.164 cents 699.164328 12: 757.262 cents 757.262239 13: 827.378 cents 827.377611 14: 885.476 cents 885.475522 15: 955.591 cents 955.590894 16: 1013.689 cents 1013.688805 17: 1071.787 cents 1071.786717 18: 1141.902 cents 1141.902089 19: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 58.0979 cents 58.0979 1: 70.1154 cents 70.1154 2: 58.0979 cents 58.0979 3: 70.1154 cents 70.1154 4: 58.0979 cents 58.0979 5: 58.0979 cents 58.0979 6: 70.1154 cents 70.1154 7: 58.0979 cents 58.0979 8: 70.1154 cents 70.1154 9: 58.0979 cents 58.0979 10: 58.0979 cents 58.0979 11: 70.1154 cents 70.1154 12: 58.0979 cents 58.0979 13: 70.1154 cents 70.1154 14: 58.0979 cents 58.0979 15: 70.1154 cents 70.1154 16: 58.0979 cents 58.0979 17: 58.0979 cents 58.0979 18: 70.1154 cents 70.1154 19: 58.0979 cents 58.0979
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 11 58.09791 cents 1: 8 70.11537 cents 2: 3 116.19582 cents 2: 16 128.21328 cents 3: 14 186.31119 cents 3: 5 198.32865 cents 4: 6 244.40911 cents 4: 13 256.42657 cents 5: 17 314.52448 cents 5: 2 326.54194 cents 6: 9 372.62239 cents 6: 10 384.63985 cents 7: 1 430.72030 cents 7: 18 442.73776 cents 8: 12 500.83567 cents 8: 7 512.85313 cents 9: 4 558.93358 cents 9: 15 570.95104 cents 10: 15 629.04896 cents 10: 4 641.06642 cents 11: 7 687.14687 cents 11: 12 699.16433 cents 12: 18 757.26224 cents 12: 1 769.27970 cents 13: 10 815.36015 cents 13: 9 827.37761 cents 14: 2 873.45806 cents 14: 17 885.47552 cents 15: 13 943.57343 cents 15: 6 955.59089 cents 16: 5 1001.67134 cents 16: 14 1013.68881 cents 17: 16 1071.78672 cents 17: 3 1083.80418 cents 18: 8 1129.88463 cents 18: 11 1141.90209 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 8 9 10 11 12 13 14 15 16 17 18 19 0.0 : 70.1 128.2 198.3 256.4 314.5 384.6 442.7 512.9 571.0 629.0 699.2 757.3 827.4 885.5 955.6 1013.7 1071.8 1141.9 1200.0 70.1 : 58.1 128.2 186.3 244.4 314.5 372.6 442.7 500.8 558.9 629.0 687.1 757.3 815.4 885.5 943.6 1001.7 1071.8 1129.9 1200.0 128.2 : 70.1 128.2 186.3 256.4 314.5 384.6 442.7 500.8 571.0 629.0 699.2 757.3 827.4 885.5 943.6 1013.7 1071.8 1141.9 1200.0 198.3 : 58.1 116.2 186.3 244.4 314.5 372.6 430.7 500.8 558.9 629.0 687.1 757.3 815.4 873.5 943.6 1001.7 1071.8 1129.9 1200.0 256.4 : 58.1 128.2 186.3 256.4 314.5 372.6 442.7 500.8 571.0 629.0 699.2 757.3 815.4 885.5 943.6 1013.7 1071.8 1141.9 1200.0 314.5 : 70.1 128.2 198.3 256.4 314.5 384.6 442.7 512.9 571.0 641.1 699.2 757.3 827.4 885.5 955.6 1013.7 1083.8 1141.9 1200.0 384.6 : 58.1 128.2 186.3 244.4 314.5 372.6 442.7 500.8 571.0 629.0 687.1 757.3 815.4 885.5 943.6 1013.7 1071.8 1129.9 1200.0 442.7 : 70.1 128.2 186.3 256.4 314.5 384.6 442.7 512.9 571.0 629.0 699.2 757.3 827.4 885.5 955.6 1013.7 1071.8 1141.9 1200.0 512.9 : 58.1 116.2 186.3 244.4 314.5 372.6 442.7 500.8 558.9 629.0 687.1 757.3 815.4 885.5 943.6 1001.7 1071.8 1129.9 1200.0 571.0 : 58.1 128.2 186.3 256.4 314.5 384.6 442.7 500.8 571.0 629.0 699.2 757.3 827.4 885.5 943.6 1013.7 1071.8 1141.9 1200.0 629.0 : 70.1 128.2 198.3 256.4 326.5 384.6 442.7 512.9 571.0 641.1 699.2 769.3 827.4 885.5 955.6 1013.7 1083.8 1141.9 1200.0 699.2 : 58.1 128.2 186.3 256.4 314.5 372.6 442.7 500.8 571.0 629.0 699.2 757.3 815.4 885.5 943.6 1013.7 1071.8 1129.9 1200.0 757.3 : 70.1 128.2 198.3 256.4 314.5 384.6 442.7 512.9 571.0 641.1 699.2 757.3 827.4 885.5 955.6 1013.7 1071.8 1141.9 1200.0 827.4 : 58.1 128.2 186.3 244.4 314.5 372.6 442.7 500.8 571.0 629.0 687.1 757.3 815.4 885.5 943.6 1001.7 1071.8 1129.9 1200.0 885.5 : 70.1 128.2 186.3 256.4 314.5 384.6 442.7 512.9 571.0 629.0 699.2 757.3 827.4 885.5 943.6 1013.7 1071.8 1141.9 1200.0 955.6 : 58.1 116.2 186.3 244.4 314.5 372.6 442.7 500.8 558.9 629.0 687.1 757.3 815.4 873.5 943.6 1001.7 1071.8 1129.9 1200.0 1013.7: 58.1 128.2 186.3 256.4 314.5 384.6 442.7 500.8 571.0 629.0 699.2 757.3 815.4 885.5 943.6 1013.7 1071.8 1141.9 1200.0 1071.8: 70.1 128.2 198.3 256.4 326.5 384.6 442.7 512.9 571.0 641.1 699.2 757.3 827.4 885.5 955.6 1013.7 1083.8 1141.9 1200.0 1141.9: 58.1 128.2 186.3 256.4 314.5 372.6 442.7 500.8 571.0 629.0 687.1 757.3 815.4 885.5 943.6 1013.7 1071.8 1129.9 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 58.0979 .. 70.1154 cents 12.01746 cents 58.09791 cents 2: 116.1958 .. 128.2133 cents 12.01746 cents 46.08045 cents 3: 186.3112 .. 198.3287 cents 12.01746 cents 58.09791 cents 4: 244.4091 .. 256.4266 cents 12.01746 cents 46.08045 cents 5: 314.5245 .. 326.5419 cents 12.01746 cents 58.09791 cents 6: 372.6224 .. 384.6399 cents 12.01746 cents 46.08045 cents 7: 430.7203 .. 442.7378 cents 12.01746 cents 46.08045 cents 8: 500.8357 .. 512.8531 cents 12.01746 cents 58.09791 cents 9: 558.9336 .. 570.9510 cents 12.01746 cents 46.08045 cents 10: 629.0490 .. 641.0664 cents 12.01746 cents 58.09791 cents 11: 687.1469 .. 699.1643 cents 12.01746 cents 46.08045 cents 12: 757.2622 .. 769.2797 cents 12.01746 cents 58.09791 cents 13: 815.3601 .. 827.3776 cents 12.01746 cents 46.08045 cents 14: 873.4581 .. 885.4755 cents 12.01746 cents 46.08045 cents 15: 943.5734 .. 955.5909 cents 12.01746 cents 58.09791 cents 16: 1001.6713 .. 1013.6888 cents 12.01746 cents 46.08045 cents 17: 1071.7867 .. 1083.8042 cents 12.01746 cents 58.09791 cents 18: 1129.8846 .. 1141.9021 cents 12.01746 cents 46.08045 cents
SHOW DATA
Number of notes : 19 -- Interval properties -- Smallest interval : 58.09791 cents, class 1 Average step (divided formal octave): 63.1579 cents Largest one step interval : 70.11537 cents Average / Smallest step : 1.087094 Largest / Average step : 1.110160 Largest / Smallest step : 1.206848 Median interval of one step : 58.09791 cents, amount: 11 Most common interval of one step : 58.09791 cents, amount: 11 Least squares average step : 63.36711 cents, oct.: 1203.97501 cents Scale is strictly proper Scale has Myhill's property chromas: 12.01746 cents and 46.08045 cents, ratio: 3.834458 generators: 7 of 442.73776 cents and 12 of 757.26224 cents ET pair of linear temperament : 19&84 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 599-tone equal temperament with octave 1200.000 cents degrees: 35 64 99 128 157 192 221 256 285 314 349 378 413 442 477 506 535 570 599 generators: 221 and 378 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABABBABABBABABABBAB Step pattern size order : LSLSSLSLSSLSLSLSSLS Scale is a Constant Structure, by a margin of 46.08045 cents Scale diversity : 1.113794 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.819738 Rothenberg efficiency : 0.701754 redundancy: 0.298246 Efficiency x scale size : 13.333333 Number of different interval sizes : 36 = 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 : 12.01746 cents Most common intervals : 442.73776 cents & inv., amount: 18 Scale is a chain of 9 triads 0.0 442.738 885.476 cents Most common triad is 0.0 442.738 757.262 cents, amount: 17 Number of recognisable fifths : 19, average 694.7368 cents Number of appreciable fifths : 12, average 699.1643 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Formal octave complements present : 9 = 47.3684% Limited inverse transpositions : 13 Inversional symmetry on degrees : 16 Inversional symmetry on intervals : 6-7 -- Rational properties --
FIT/MODE
19: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 4.6907 c. M: 8.8550 c. 56: 3 3 3 3 3 3 3 3 3 2 4 2 4 2 4 2 3 3 3 SP D3 S SD: 5.9593 c. M:-8.6948 c. 59: 3 3 4 3 2 4 3 3 3 3 3 3 4 3 3 3 3 3 3 SP D3 SD: 5.7034 c. M:-9.4397 c. 65: 4 3 4 3 3 4 3 4 3 3 4 3 4 3 4 3 3 4 3 SP M ME S SD: 2.5153 c. M:-4.7483 c. 84: 5 4 5 4 4 5 4 5 4 4 5 4 5 4 5 4 4 5 4 SP M ME S SD: 0.8854 c. M:-1.6713 c. 103: 6 5 6 5 5 6 5 6 5 5 6 5 6 5 6 5 5 6 5 SP M ME S SD: 0.1432 c. M: 0.2704 c. 393: 23 19 23 19 19 23 19 23 19 19 23 19 23 19 23 19 19 23 19 SP M DE S SD: 0.0766 c. M:-0.1446 c. 496: 29 24 29 24 24 29 24 29 24 24 29 24 29 24 29 24 24 29 24 SP M DE S SD: 0.0310 c. M:-0.0584 c. 599: 35 29 35 29 29 35 29 35 29 29 35 29 35 29 35 29 29 35 29 SP M DE S SD: 0.0010 c. M:-0.0019 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 1.3953 cents 3 .. 6 match: 3 H SD: 4.9501 cents 4 .. 8 match: 4 H SD: 3.4073 cents 5 .. 10 match: 5 H SD: 3.6749 cents 6 .. 12 match: 6 H SD: 4.8311 cents 7 .. 14 match: 7 H SD: 6.3423 cents 8 .. 16 match: 8 H SD: 4.0446 cents 9 .. 18 match: 9 H SD: 5.9183 cents 10 .. 20 match: 10 H SD: 6.0252 cents 11 .. 22 match: 11 H SD: 6.0583 cents 12 .. 24 match: 12 H SD: 4.6093 cents 13 .. 26 match: 13 H SD: 4.6627 cents 14 .. 28 match: 14 H SD: 4.2690 cents 15 .. 30 match: 15 H SD: 3.8381 cents 16 .. 32 match: 16 H SD: 3.7387 cents 17 .. 34 match: 16 S SD: 5.3467 cents 18 .. 36 match: 17 SD: 3.6233 cents 19 .. 38 match: 17 SD: 4.7002 cents 20 .. 40 match: 18 SD: 3.0540 cents 21 .. 42 match: 18 SD: 3.8461 cents 22 .. 44 match: 18 SD: 4.4601 cents 23 .. 46 match: 19 SD: 3.3224 cents 24 .. 48 match: 19 SD: 2.6631 cents 26 .. 52 match: 19 SD: 2.6340 cents 30 .. 60 match: 19 SD: 2.6202 cents 31 .. 62 match: 19 SD: 2.4128 cents 36 .. 72 match: 19 SD: 2.4035 cents 38 .. 76 match: 19 SD: 2.2323 cents 39 .. 78 match: 19 SD: 2.1192 cents 40 .. 80 match: 19 SD: 2.0203 cents 41 .. 82 match: 19 SD: 1.7690 cents 44 .. 88 match: 19 SD: 1.5089 cents 49 .. 98 match: 19 SD: 1.2095 cents 64 .. 128 match: 19 SD: 0.9096 cents 75 .. 150 match: 19 SD: 0.7241 cents 93 .. 186 match: 19 SD: 0.7154 cents 100 .. 200 match: 19 SD: 0.6573 cents 105 .. 210 match: 19 SD: 0.6573 cents 116 .. 232 match: 19 SD: 0.6509 cents 117 .. 234 match: 19 SD: 0.5497 cents 121 .. 242 match: 19 SD: 0.5495 cents 140 .. 280 match: 19 SD: 0.5147 cents 141 .. 282 match: 19 SD: 0.4783 cents 151 .. 302 match: 19 SD: 0.4763 cents 157 .. 314 match: 19 SD: 0.4412 cents 168 .. 336 match: 19 SD: 0.4302 cents 169 .. 338 match: 19 SD: 0.4287 cents 171 .. 342 match: 19 SD: 0.3521 cents 197 .. 394 match: 19 SD: 0.3344 cents 217 .. 434 match: 19 SD: 0.2840 cents 237 .. 474 match: 19 SD: 0.2728 cents 246 .. 492 match: 19 SD: 0.2378 cents 261 .. 522 match: 19 SD: 0.2236 cents 289 .. 578 match: 19 SD: 0.2196 cents 312 .. 624 match: 19 SD: 0.2173 cents 313 .. 626 match: 19 SD: 0.1815 cents 337 .. 674 match: 19 SD: 0.1787 cents 363 .. 726 match: 19 SD: 0.1720 cents 377 .. 754 match: 19 SD: 0.1685 cents 388 .. 776 match: 19 SD: 0.1663 cents 406 .. 812 match: 19 SD: 0.1400 cents 470 .. 940 match: 19 SD: 0.1235 cents 532 .. 1064 match: 19 SD: 0.1194 cents 559 .. 1118 match: 19 SD: 0.1141 cents 563 .. 1126 match: 19 SD: 0.1030 cents