Scala analysis: porcupine
POTE porcupine[7] MOS
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 223.515 cents 223.514960 2: 386.262 cents 386.262470 3: 549.010 cents 549.009970 4: 711.757 cents 711.757480 5: 874.505 cents 874.504990 6: 1037.252 cents 1037.252490 7: 2/1 1200.000000 octave
SHOW/INTERVAL
0: 162.7475 cents 162.7475 1: 223.5150 cents 223.5150 2: 162.7475 cents 162.7475 3: 162.7475 cents 162.7475 4: 162.7475 cents 162.7475 5: 162.7475 cents 162.7475 6: 162.7475 cents 162.7475 7: 162.7475 cents 162.7475
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 6 162.74751 cents 1: 1 223.51496 cents 2: 5 325.49501 cents 2: 2 386.26247 cents 3: 4 488.24252 cents 3: 3 549.00997 cents 4: 3 650.99003 cents 4: 4 711.75748 cents 5: 2 813.73753 cents 5: 5 874.50499 cents 6: 1 976.48504 cents 6: 6 1037.25249 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 : 223.5 386.3 549.0 711.8 874.5 1037.3 1200.0 223.5 : 162.7 325.5 488.2 651.0 813.7 976.5 1200.0 386.3 : 162.7 325.5 488.2 651.0 813.7 1037.3 1200.0 549.0 : 162.7 325.5 488.2 651.0 874.5 1037.3 1200.0 711.8 : 162.7 325.5 488.2 711.8 874.5 1037.3 1200.0 874.5 : 162.7 325.5 549.0 711.8 874.5 1037.3 1200.0 1037.3: 162.7 386.3 549.0 711.8 874.5 1037.3 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 162.7475 .. 223.5150 cents 60.76745 cents 162.74751 cents 2: 325.4950 .. 386.2625 cents 60.76746 cents 101.98005 cents 3: 488.2425 .. 549.0100 cents 60.76745 cents 101.98005 cents 4: 650.9900 .. 711.7575 cents 60.76745 cents 101.98006 cents 5: 813.7375 .. 874.5050 cents 60.76746 cents 101.98005 cents 6: 976.4850 .. 1037.2525 cents 60.76745 cents 101.98005 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 162.74750 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 223.51496 cents Average / Smallest step : 1.053341 Largest / Average step : 1.303837 Largest / Smallest step : 1.373385 Median interval of one step : 162.74751 cents, amount: 6 Most common interval of one step : 162.74751 cents, amount: 6 Least squares average step : 174.90100 cents, oct.: 1224.30698 cents Scale is strictly proper Scale has Myhill's property chromas: 60.76745 cents and 101.98006 cents, ratio: 1.678202 generators: 162.74751 cents and 6 of 1037.25249 cents ET pair of linear temperament : 15&22 Scale is maximally even for L / S <= 2 Scale is distributional even Scale is a mode of a 1165-tone equal temperament with octave 2/1 degrees: 217 375 533 691 849 1007 1165 generators: 158 and 1007 Number of contiguous 1-step segments: 0 Step pattern alph. order: ABBBBBB Step pattern size order : LSSSSSS Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 101.98005 cents Scale diversity : 1.247331 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.696163 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 : 60.76745 cents Most common intervals : 162.74751 cents & inv., amount: 6 Scale is a chain of 3 triads 0.0 549.010 1037.252 cents Number of recognisable fifths : 4, average 711.7575 cents Best fifths form a closed circle Best major thirds form a closed circle Best minor thirds form a closed circle Steps are decreasing Formal octave complements present : 1 = 14.2857% Limited inverse transpositions : 1 Inversional symmetry on degrees : 4 Inversional symmetry on intervals : 0-1 -- Rational properties -- Prime limit : 2 (not all pitches rational)
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 31.3000 c. M: 52.0864 c. Lebeng 10: 2 1 2 1 1 2 1 P M ME S SD: 30.8159 c. M:-50.9900 c. 12: 2 2 1 2 2 1 2 P M ME S SD: 27.5671 c. M: 49.0100 c. G.Hypophrygian, G.Ionian (Iastian), M.Mixolydian, G.M.Hypoionian, Hypermixolydian, Mischung 3, Khamaj That, Mela Harikambhoji, Raga Balahamsa, Bhim, Devamanohari, Harini, Janjhuti, Kaamaai, Khambhavati, Surati, Gregorian nr.7, Enharmonic Byzantine Liturgical, Rast descending: Greece, Ching, Shang: China 15: 3 2 2 2 2 2 2 SP M ME S SD: 9.9063 c. M:-16.4850 c. Porky-7 22: 4 3 3 3 3 3 3 SP M ME S SD: 3.2048 c. M: 5.3331 c. Major quasi-equal Heptatonic, Porky-7 37: 7 5 5 5 5 5 5 SP M DE S SD: 2.1105 c. M:-3.5121 c. 59: 11 8 8 8 8 8 8 SP M DE S SD: 0.1285 c. M:-0.2139 c. 317: 59 43 43 43 43 43 43 SP M DE S SD: 0.1028 c. M: 0.1711 c. 376: 70 51 51 51 51 51 51 SP M DE S SD: 0.0665 c. M: 0.1107 c. 435: 81 59 59 59 59 59 59 SP M DE S SD: 0.0401 c. M: 0.0667 c. 494: 92 67 67 67 67 67 67 SP M DE S SD: 0.0199 c. M: 0.0332 c. 553: 103 75 75 75 75 75 75 SP M DE S SD: 0.0041 c. M: 0.0068 c. 1165: 217 158 158 158 158 158 158 SP M DE S SD: 0.0026 c. M:-0.0044 c. 1718: 320 233 233 233 233 233 233 SP M DE S SD: 0.0005 c. M:-0.0008 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: 4.9012 cents 3 x x 4 x 5 x 6 S SD: 17.3029 cents 4 x 5 x 6 x 7:8 S SD: 17.2813 cents 5 x 6:7 x 8:9:10 S SD: 20.1941 cents 6:7 x 8:9:10:11:12 S SD: 11.5675 cents 8:9:10:11:12:13:15:16 SD: 9.3053 cents 15:17:19:21:23:25:27:30 SD: 7.7967 cents 16:18:20:22:24:27:29:32 SD: 5.5845 cents 21:24:26:29:32:35:38:42 SD: 4.3797 cents 24:27:30:33:36:40:44:48 S SD: 3.8585 cents 27:31:34:37:41:45:49:54 SD: 3.7252 cents 29:33:36:40:44:48:53:58 SD: 2.6756 cents 35:40:44:48:53:58:64:70 SD: 2.3183 cents 43:49:54:59:65:71:78:86 SD: 1.8424 cents 51:58:64:70:77:85:93:102 SD: 1.7798 cents 59:67:74:81:89:98:107:118 SD: 1.4756 cents 65:74:81:89:98:108:118:130 SD: 1.4225 cents 67:76:84:92:101:111:122:134 SD: 1.0803 cents 73:83:91:100:110:121:133:146 SD: 0.9744 cents 88:100:110:121:133:146:160:176 SD: 0.7799 cents 96:109:120:132:145:159:175:192 SD: 0.7750 cents 108:123:135:148:163:179:197:216 SD: 0.7438 cents 116:132:145:159:175:192:211:232 SD: 0.5827 cents 145:165:181:199:219:240:264:290 SD: 0.5595 cents 152:173:190:209:229:252:277:304 SD: 0.5355 cents 161:183:201:221:243:267:293:322 SD: 0.4679 cents 195:222:244:268:294:323:355:390 SD: 0.4079 cents 196:223:245:269:296:325:357:392 SD: 0.3576 cents 260:296:325:357:392:431:473:520 SD: 0.2758 cents 268:305:335:368:404:444:488:536 SD: 0.2011 cents 356:405:445:489:537:590:648:712 SD: 0.0989 cents