Scala analysis: peppermint-parapyth17_g
Peppermint parapyth17 from Fokker block; key 14 like pipedum_17c.scl
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 58.680 cents 58.679690 2: 128.669 cents 128.669240 3: 208.191 cents 208.191210 4: 266.871 cents 266.870910 5: 346.393 cents 346.392870 6: 416.382 cents 416.382430 7: 475.062 cents 475.062120 8: 554.584 cents 554.584090 9: 624.574 cents 624.573640 10: 704.096 cents 704.095610 11: 762.775 cents 762.775300 12: 842.297 cents 842.297270 13: 912.287 cents 912.286820 14: 970.967 cents 970.966510 15: 1050.488 cents 1050.488480 16: 1120.478 cents 1120.478030 17: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 79.5220 cents 79.5220 1: 58.6797 cents 58.6797 2: 69.9895 cents 69.9895 3: 79.5220 cents 79.5220 4: 58.6797 cents 58.6797 5: 79.5220 cents 79.5220 6: 69.9896 cents 69.9896 7: 58.6797 cents 58.6797 8: 79.5220 cents 79.5220 9: 69.9895 cents 69.9895 10: 79.5220 cents 79.5220 11: 58.6797 cents 58.6797 12: 79.5220 cents 79.5220 13: 69.9895 cents 69.9895 14: 58.6797 cents 58.6797 15: 79.5220 cents 79.5220 16: 69.9896 cents 69.9896 17: 79.5220 cents 79.5220
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 5 58.67969 cents 1: 5 69.98955 cents 1: 7 79.52197 cents 2: 3 128.66924 cents 2: 7 138.20167 cents 2: 7 149.51152 cents 3: 13 208.19121 cents 3: 2 217.72363 cents 3: 2 229.03349 cents 4: 3 266.87091 cents 4: 3 278.18077 cents 4: 11 287.71318 cents 5: 8 346.39287 cents 5: 8 357.70274 cents 5: 1 367.23515 cents 6: 9 416.38243 cents 6: 4 425.91485 cents 6: 4 437.22470 cents 7: 1 475.06212 cents 7: 1 486.37197 cents 7: 15 495.90440 cents 8: 6 554.58409 cents 8: 6 565.89395 cents 8: 5 575.42637 cents 9: 5 624.57364 cents 9: 6 634.10606 cents 9: 6 645.41592 cents 10: 15 704.09561 cents 10: 1 713.62803 cents 10: 1 724.93788 cents 11: 4 762.77530 cents 11: 4 774.08516 cents 11: 9 783.61758 cents 12: 1 832.76485 cents 12: 8 842.29727 cents 12: 8 853.60713 cents 13: 11 912.28682 cents 13: 3 921.81924 cents 13: 3 933.12909 cents 14: 2 970.96651 cents 14: 2 982.27637 cents 14: 13 991.80879 cents 15: 7 1050.48848 cents 15: 7 1061.79834 cents 15: 3 1071.33076 cents 16: 7 1120.47803 cents 16: 5 1130.01045 cents 16: 5 1141.32031 cents Highest number of different intervals for one interval class: 3 Average number of different intervals per interval class: 3.00000 = 3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 0.0 : 58.7 128.7 208.2 266.9 346.4 416.4 475.1 554.6 624.6 704.1 762.8 842.3 912.3 971.0 1050.5 1120.5 1200.0 58.7 : 70.0 149.5 208.2 287.7 357.7 416.4 495.9 565.9 645.4 704.1 783.6 853.6 912.3 991.8 1061.8 1141.3 1200.0 128.7 : 79.5 138.2 217.7 287.7 346.4 425.9 495.9 575.4 634.1 713.6 783.6 842.3 921.8 991.8 1071.3 1130.0 1200.0 208.2 : 58.7 138.2 208.2 266.9 346.4 416.4 495.9 554.6 634.1 704.1 762.8 842.3 912.3 991.8 1050.5 1120.5 1200.0 266.9 : 79.5 149.5 208.2 287.7 357.7 437.2 495.9 575.4 645.4 704.1 783.6 853.6 933.1 991.8 1061.8 1141.3 1200.0 346.4 : 70.0 128.7 208.2 278.2 357.7 416.4 495.9 565.9 624.6 704.1 774.1 853.6 912.3 982.3 1061.8 1120.5 1200.0 416.4 : 58.7 138.2 208.2 287.7 346.4 425.9 495.9 554.6 634.1 704.1 783.6 842.3 912.3 991.8 1050.5 1130.0 1200.0 475.1 : 79.5 149.5 229.0 287.7 367.2 437.2 495.9 575.4 645.4 724.9 783.6 853.6 933.1 991.8 1071.3 1141.3 1200.0 554.6 : 70.0 149.5 208.2 287.7 357.7 416.4 495.9 565.9 645.4 704.1 774.1 853.6 912.3 991.8 1061.8 1120.5 1200.0 624.6 : 79.5 138.2 217.7 287.7 346.4 425.9 495.9 575.4 634.1 704.1 783.6 842.3 921.8 991.8 1050.5 1130.0 1200.0 704.1 : 58.7 138.2 208.2 266.9 346.4 416.4 495.9 554.6 624.6 704.1 762.8 842.3 912.3 971.0 1050.5 1120.5 1200.0 762.8 : 79.5 149.5 208.2 287.7 357.7 437.2 495.9 565.9 645.4 704.1 783.6 853.6 912.3 991.8 1061.8 1141.3 1200.0 842.3 : 70.0 128.7 208.2 278.2 357.7 416.4 486.4 565.9 624.6 704.1 774.1 832.8 912.3 982.3 1061.8 1120.5 1200.0 912.3 : 58.7 138.2 208.2 287.7 346.4 416.4 495.9 554.6 634.1 704.1 762.8 842.3 912.3 991.8 1050.5 1130.0 1200.0 971.0 : 79.5 149.5 229.0 287.7 357.7 437.2 495.9 575.4 645.4 704.1 783.6 853.6 933.1 991.8 1071.3 1141.3 1200.0 1050.5: 70.0 149.5 208.2 278.2 357.7 416.4 495.9 565.9 624.6 704.1 774.1 853.6 912.3 991.8 1061.8 1120.5 1200.0 1120.5: 79.5 138.2 208.2 287.7 346.4 425.9 495.9 554.6 634.1 704.1 783.6 842.3 921.8 991.8 1050.5 1130.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 58.6797 .. 79.5220 cents 20.84228 cents 58.67969 cents 2: 128.6692 .. 149.5115 cents 20.84228 cents 49.14727 cents 3: 208.1912 .. 229.0335 cents 20.84228 cents 58.67969 cents 4: 266.8709 .. 287.7132 cents 20.84227 cents 37.83742 cents 5: 346.3929 .. 367.2351 cents 20.84228 cents 58.67969 cents 6: 416.3824 .. 437.2247 cents 20.84227 cents 49.14728 cents 7: 475.0621 .. 495.9044 cents 20.84228 cents 37.83742 cents 8: 554.5841 .. 575.4264 cents 20.84228 cents 58.67969 cents 9: 624.5736 .. 645.4159 cents 20.84228 cents 49.14727 cents 10: 704.0956 .. 724.9379 cents 20.84227 cents 58.67969 cents 11: 762.7753 .. 783.6176 cents 20.84228 cents 37.83742 cents 12: 832.7648 .. 853.6071 cents 20.84228 cents 49.14727 cents 13: 912.2868 .. 933.1291 cents 20.84227 cents 58.67969 cents 14: 970.9665 .. 991.8088 cents 20.84228 cents 37.83742 cents 15: 1050.4885 .. 1071.3308 cents 20.84228 cents 58.67969 cents 16: 1120.4780 .. 1141.3203 cents 20.84228 cents 49.14727 cents
SHOW DATA
Number of notes : 17 -- Interval properties -- Smallest interval : 58.67969 cents, class 1 Average step (divided formal octave): 70.5882 cents Largest one step interval : 79.52197 cents Average / Smallest step : 1.202942 Largest / Average step : 1.126561 Largest / Smallest step : 1.355187 Median interval of one step : 69.98955 cents, amount: 5 Most common interval of one step : 79.52197 cents, amount: 7 Least squares average step : 69.85932 cents, oct.: 1187.60849 cents Scale is strictly proper Scale has trivalence property Step pattern alph. order: ABCACBACBCACBACBC Step pattern size order : SMLSLMSLMLSLMSLML Scale is a Constant Structure, by a margin of 37.83742 cents Scale diversity : 1.194272 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.722103 Number of different interval sizes : 48 = 3.00000 / class Number of one step interval sizes : 3 Highest interval variety : 3 Mean interval variety : 3.00000 = 3 Median interval variety : 3 Lowest interval variety : 3 Smallest interval difference : 9.53241 cents Most common intervals : 495.90440 cents & inv., amount: 15 Scale is a chain of 8 triads 0.0 357.703 704.096 cents Most common triad is 0.0 495.904 704.096 cents, amount: 13 Number of recognisable fifths : 16, average 704.6914 cents Best fifths form a closed circle Formal octave complements present : 1 = 5.8824% Limited transpositions with margin 20.8423 cents: 12 Limited inverse transpositions with margin 20.8423 cents: 2 7 -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
17: 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 SP B ME I SD: 10.6130 c. M:-19.0555 c. 30: 1 2 2 2 2 1 2 2 2 2 1 2 2 1 2 2 2 P D3 SD: 10.7504 c. M: 18.6797 c. 31: 2 1 2 2 2 2 1 2 2 2 2 2 2 1 2 2 2 P D3 S SD: 10.0739 c. M:-18.7397 c. 33: 2 2 2 1 3 1 2 2 2 2 2 2 2 2 2 2 2 P D3 S SD: 10.3657 c. M:-17.2435 c. 35: 2 2 2 2 2 2 2 2 2 3 1 3 2 1 3 2 2 P D3 SD: 9.4010 c. M:-15.9044 c. 37: 2 2 2 2 3 2 2 2 2 3 2 2 2 2 2 3 2 SP M ME S SD: 8.9254 c. M:-15.6031 c. 38: 2 2 3 1 3 2 2 3 2 2 2 3 2 2 2 2 3 P D3 SD: 8.6344 c. M: 15.2149 c. 41: 2 2 3 2 3 2 2 3 2 3 2 3 2 2 3 2 3 SP M ME S SD: 5.6830 c. M: 11.5961 c. 45: 2 3 3 2 3 3 2 3 2 3 3 3 2 2 3 3 3 SP D3 SD: 7.5689 c. M: 11.2403 c. 46: 2 3 3 2 3 3 2 3 3 3 2 3 3 2 3 3 3 SP M ME S SD: 4.8121 c. M: 7.5147 c. 58: 3 3 4 3 4 3 3 4 3 4 3 4 3 3 4 3 4 SP M ME S SD: 3.3183 c. M:-5.9786 c. 63: 3 4 4 3 4 4 3 4 4 4 3 4 4 3 4 4 4 SP M ME S SD: 2.5443 c. M:-4.6641 c. 104: 5 6 7 5 7 6 5 7 6 7 5 7 6 5 7 6 7 SP T3 SD: 1.1172 c. M: 1.9852 c. 121: 6 7 8 6 8 7 6 8 7 8 6 8 7 6 8 7 8 SP T3 SD: 0.6129 c. M:-0.9709 c. 225: 11 13 15 11 15 13 11 15 13 15 11 15 13 11 15 13 15 SP T3 SD: 0.3281 c. M: 0.6692 c. 288: 14 17 19 14 19 17 14 19 17 19 14 19 17 14 19 17 19 SP T3 SD: 0.3506 c. M: 0.6306 c. 346: 17 20 23 17 23 20 17 23 20 23 17 23 20 17 23 20 23 SP T3 SD: 0.2648 c. M:-0.4773 c. 409: 20 24 27 20 27 24 20 27 24 27 20 27 24 20 27 24 27 SP T3 SD: 0.2088 c. M:-0.4261 c. 513: 25 30 34 25 34 30 25 34 30 34 25 34 30 25 34 30 34 SP T3 SD: 0.1458 c. M: 0.2083 c. 634: 31 37 42 31 42 37 31 42 37 42 31 42 37 31 42 37 42 SP T3 SD: 0.0186 c. M:-0.0374 c. 2127: 104 124 141 104 141 124 104 141 124 141 104 141 124 104 141 124 141 SP T3 SD: 0.0187 c. M: 0.0374 c.
FIT/HARMONIC
1 .. 2 match: 1 H SD: 0.0000 cents 2 .. 4 match: 2 H SD: 1.0703 cents 3 .. 6 match: 3 H SD: 12.0563 cents 4 .. 8 match: 4 H SD: 7.5552 cents 5 .. 10 match: 5 H SD: 12.0435 cents 6 .. 12 match: 6 H SD: 6.0416 cents 7 .. 14 match: 7 H SD: 6.7026 cents 8 .. 16 match: 8 H SD: 5.5662 cents 9 .. 18 match: 9 H SD: 6.2189 cents 10 .. 20 match: 10 H SD: 7.4243 cents 11 .. 22 match: 11 H SD: 4.9118 cents 12 .. 24 match: 12 H SD: 5.2009 cents 13 .. 26 match: 13 H SD: 4.0342 cents 14 .. 28 match: 14 H SD: 4.9040 cents 15 .. 30 match: 14 S SD: 6.3685 cents 16 .. 32 match: 15 SD: 4.0318 cents 17 .. 34 match: 14 S SD: 5.7771 cents 18 .. 36 match: 16 S SD: 4.3742 cents 19 .. 38 match: 16 SD: 4.5288 cents 20 .. 40 match: 16 SD: 5.2258 cents 21 .. 42 match: 17 SD: 4.7927 cents 22 .. 44 match: 17 SD: 3.4557 cents 23 .. 46 match: 17 SD: 3.0450 cents 26 .. 52 match: 17 SD: 2.8319 cents 29 .. 58 match: 17 SD: 2.5602 cents 32 .. 64 match: 17 SD: 2.1280 cents 37 .. 74 match: 17 SD: 2.0035 cents 40 .. 80 match: 17 SD: 1.8628 cents 48 .. 96 match: 17 SD: 1.4507 cents 53 .. 106 match: 17 SD: 1.3309 cents 54 .. 108 match: 17 SD: 1.2606 cents 62 .. 124 match: 17 SD: 1.2425 cents 64 .. 128 match: 17 SD: 1.1776 cents 67 .. 134 match: 17 SD: 1.1768 cents 76 .. 152 match: 17 SD: 1.0322 cents 77 .. 154 match: 17 SD: 0.9731 cents 78 .. 156 match: 17 SD: 0.8614 cents 85 .. 170 match: 17 SD: 0.7363 cents 92 .. 184 match: 17 SD: 0.7136 cents 108 .. 216 match: 17 SD: 0.6279 cents 114 .. 228 match: 17 SD: 0.6207 cents 117 .. 234 match: 17 SD: 0.5884 cents 132 .. 264 match: 17 SD: 0.5814 cents 140 .. 280 match: 17 SD: 0.4918 cents 143 .. 286 match: 17 SD: 0.4486 cents 170 .. 340 match: 17 SD: 0.4380 cents 177 .. 354 match: 17 SD: 0.4221 cents 180 .. 360 match: 17 SD: 0.3040 cents 209 .. 418 match: 17 SD: 0.2931 cents 235 .. 470 match: 17 SD: 0.1826 cents 376 .. 752 match: 17 SD: 0.1776 cents 401 .. 802 match: 17 SD: 0.1750 cents 412 .. 824 match: 17 SD: 0.1692 cents 415 .. 830 match: 17 SD: 0.1423 cents 437 .. 874 match: 17 SD: 0.1299 cents 492 .. 984 match: 17 SD: 0.1277 cents 493 .. 986 match: 17 SD: 0.1141 cents 582 .. 1164 match: 17 SD: 0.1066 cents