Scala analysis: Peru_Panpipes_29
29 (Panpipes), Peru
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 452.000 cents 452.000000 2: 779.000 cents 779.000000 3: 1083.000 cents 1083.000000 4: 1305.000 cents 1305.000000 5: 1548.000 cents 1548.000000 6: 1755.000 cents 1755.000000
SHOW/INTERVAL
0: 207.0000 cents 207.0000 1: 452.0000 cents 452.0000 2: 327.0000 cents 327.0000 3: 304.0000 cents 304.0000 4: 222.0000 cents 222.0000 5: 243.0000 cents 243.0000 6: 207.0000 cents 207.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 207.00000 cents 1: 1 222.00000 cents 1: 1 243.00000 cents 1: 1 304.00000 cents 1: 1 327.00000 cents 1: 1 452.00000 cents 2: 1 450.00000 cents 2: 1 465.00000 cents 2: 1 526.00000 cents 2: 1 631.00000 cents 2: 1 659.00000 cents 2: 1 779.00000 cents 3: 1 672.00000 cents 3: 1 769.00000 cents 3: 1 853.00000 cents 3: 1 902.00000 cents 3: 1 986.00000 cents 3: 1 1083.00000 cents 4: 1 976.00000 cents 4: 1 1096.00000 cents 4: 1 1124.00000 cents 4: 1 1229.00000 cents 4: 1 1290.00000 cents 4: 1 1305.00000 cents 5: 1 1303.00000 cents 5: 1 1428.00000 cents 5: 1 1451.00000 cents 5: 1 1512.00000 cents 5: 1 1533.00000 cents 5: 1 1548.00000 cents Highest number of different intervals for one interval class: 6 Average number of different intervals per interval class: 6.00000 = 6
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 0.0 : 452.0 779.0 1083.0 1305.0 1548.0 1755.0 452.0 : 327.0 631.0 853.0 1096.0 1303.0 1755.0 779.0 : 304.0 526.0 769.0 976.0 1428.0 1755.0 1083.0: 222.0 465.0 672.0 1124.0 1451.0 1755.0 1305.0: 243.0 450.0 902.0 1229.0 1533.0 1755.0 1548.0: 207.0 659.0 986.0 1290.0 1512.0 1755.0 1755.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 207.0000 .. 452.0000 cents 245.00000 cents 207.00000 cents 2: 450.0000 .. 779.0000 cents 329.00000 cents -2.00000 cents 3: 672.0000 .. 1083.0000 cents 411.00000 cents -107.00000 cents 4: 976.0000 .. 1305.0000 cents 329.00000 cents -107.00000 cents 5: 1303.0000 .. 1548.0000 cents 245.00000 cents -2.00000 cents
SHOW DATA
Number of notes : 6 -- Interval properties -- Smallest interval : 207.00000 cents, class 1 Average step (divided formal octave): 292.5000 cents Largest one step interval : 452.00000 cents Average / Smallest step : 1.413043 Largest / Average step : 1.545299 Largest / Smallest step : 2.183575 Median interval of one step : 273.50000 cents, amount: 0 Least squares average step : 315.92308 cents, oct.: 1895.53846 cents Scale is not proper Scale is a mode of a 1755-tone equal temperament with octave 1755.000 cents degrees: 452 779 1083 1305 1548 1755 Least number of segments generator : 878 of 878.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1426 of 1426.000 cents and inv. generated superset size: 435 = 429 more = 7250.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEF Step pattern size order : FEDBCA Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 2.00000 cents Scale diversity : 0.533209 Lumma stability : 0.235897 Lumma impropriety factor : 0.124217 Rothenberg efficiency : 0.333333 redundancy: 0.666667 Efficiency x scale size : 2.000000 Number of different interval sizes : 30 = 6.00000 / class Number of one step interval sizes : 6 Highest interval variety : 6 Mean interval variety : 6.00000 = 6 Median interval variety : 6 Lowest interval variety : 6 Smallest interval difference : 2.00000 cents Number of recognisable fifths : 0 Number of recognisable fourths : 0 Best minor thirds form a closed circle Formal octave complements present : 1 = 16.6667% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
6: 1 1 1 1 1 1 SP B ME I SD: 147.6718 c. M: 205.5000 c. Whole-tone, Messiaen mode 1, Raga Gopriya, Anhemitonic Hexatonic 7: 2 1 1 1 1 1 P M ME SD: 48.5510 c. M: 80.1429 c. 8: 2 2 1 1 1 1 N D3 S SD: 41.5332 c. M:-98.5000 c. 10: 3 1 2 1 2 1 P D3 SD: 56.6035 c. M: 77.0000 c. 11: 3 2 2 1 2 1 N SD: 29.6531 c. M:-47.4545 c. 15: 4 3 2 2 2 2 N SD: 25.1959 c. M:-40.0000 c. 16: 4 3 3 2 2 2 N SD: 11.3500 c. M:-13.8750 c. 23: 6 4 4 3 3 3 N SD: 13.2113 c. M: 21.9130 c. 27: 7 5 5 3 4 3 N SD: 10.5119 c. M:-22.0000 c. 31: 8 6 5 4 4 4 N SD: 10.2155 c. M: 19.4516 c. 34: 9 6 6 4 5 4 N SD: 8.0966 c. M: 14.5588 c. 36: 9 7 6 5 5 4 N SD: 9.6382 c. M: 13.2500 c. 39: 10 7 7 5 5 5 N SD: 9.4251 c. M: 18.0000 c. 42: 11 8 7 5 6 5 N SD: 8.0595 c. M:-14.9286 c. 47: 12 9 8 6 6 6 N SD: 7.4830 c. M: 17.0426 c. 50: 13 9 9 6 7 6 N SD: 4.8886 c. M: 6.8000 c. 58: 15 11 10 7 8 7 N SD: 4.8512 c. M:-7.7241 c. 70: 18 13 12 9 10 8 N SD: 3.4392 c. M:-6.4286 c. 86: 22 16 15 11 12 10 N SD: 2.3630 c. M: 3.5349 c. 117: 30 22 20 15 16 14 N SD: 1.9579 c. M: 3.0000 c. 128: 33 24 22 16 18 15 N SD: 1.5518 c. M:-2.5234 c. 144: 37 27 25 18 20 17 N SD: 0.9908 c. M:-1.6875 c. 230: 59 43 40 29 32 27 N SD: 0.9135 c. M: 1.8043 c. 261: 67 49 45 33 36 31 N SD: 0.9777 c. M: 1.4828 c. 331: 85 62 57 42 46 39 N SD: 0.8460 c. M: 1.3686 c. 347: 89 65 60 44 48 41 N SD: 0.8272 c. M: 1.8703 c. 358: 92 67 62 45 50 42 N SD: 0.7731 c. M:-1.1061 c. 381: 98 71 66 48 53 45 N SD: 0.7054 c. M: 1.4173 c. 397: 102 74 69 50 55 47 N SD: 0.7687 c. M: 1.0932 c. 457: 118 85 79 58 63 54 N SD: 0.6152 c. M:-1.1510 c. 467: 120 87 81 59 65 55 N SD: 0.7909 c. M: 1.0878 c. 473: 122 88 82 60 65 56 N SD: 0.6266 c. M:-1.0465 c. 502: 129 94 87 63 70 59 N SD: 0.7637 c. M: 1.0139 c. 507: 131 94 88 64 70 60 N SD: 0.6895 c. M:-1.4615 c. 520: 134 97 90 66 72 61 N SD: 0.7217 c. M:-1.1250 c. 525: 135 98 91 66 73 62 N SD: 0.6123 c. M: 1.2857 c. 527: 136 98 91 67 73 62 N SD: 0.5520 c. M:-0.9032 c. 543: 140 101 94 69 75 64 N SD: 0.3854 c. M:-0.7459 c. 601: 155 112 104 76 83 71 N SD: 0.4428 c. M:-0.6755 c. 660: 170 123 114 84 91 78 N SD: 0.4323 c. M: 0.7500 c. 671: 173 125 116 85 93 79 N SD: 0.3162 c. M:-0.4814 c. 687: 177 128 119 87 95 81 N SD: 0.1956 c. M:-0.3930 c. 804: 207 150 139 102 111 95 N SD: 0.2724 c. M: 0.3694 c. 815: 210 152 141 103 113 96 N SD: 0.2634 c. M:-0.5215 c. 831: 214 155 144 105 115 98 N SD: 0.2187 c. M:-0.4116 c. 838: 216 156 145 106 116 99 N SD: 0.2542 c. M:-0.3628 c. 854: 220 159 148 108 118 101 N SD: 0.2403 c. M: 0.5585 c. 901: 232 168 156 114 125 106 N SD: 0.2278 c. M:-0.5294 c. 917: 236 171 159 116 127 108 N SD: 0.2323 c. M: 0.3315 c. 924: 238 172 160 117 128 109 N SD: 0.1967 c. M: 0.3701 c. 951: 245 177 165 120 132 112 N SD: 0.2303 c. M:-0.3123 c. 982: 253 183 170 124 136 116 N SD: 0.2229 c. M: 0.3666 c. 1018: 262 190 176 129 141 120 N SD: 0.2219 c. M: 0.3477 c. 1068: 275 199 185 135 148 126 N SD: 0.1258 c. M: 0.2528 c. 1611: 415 300 279 204 223 190 N SD: 0.0886 c. M: 0.1508 c. 1739: 448 324 301 220 241 205 N SD: 0.1044 c. M: 0.1277 c. 1755: 452 327 304 222 243 207 N SD: 0.0000 c. M: 0.0000 c.
FIT/HARMONIC
1 x x x 2 x 3 S SD: 90.3061 cents 2 x 3 x 4:5:6 S SD: 50.0154 cents 3:4:5 x 6:7:8 S SD: 36.9169 cents 4:5:6:7:9:10:11 SD: 30.9798 cents 5:7:8:9:11:12:14 SD: 27.8482 cents 6:8:9:11:13:15:17 SD: 19.7812 cents 7:9:11:13:15:17:19 SD: 6.3855 cents 14:18:22:26:30:34:39 SD: 5.5866 cents 16:21:25:30:34:39:44 SD: 3.5943 cents 23:30:36:43:49:56:63 SD: 2.6925 cents 30:39:47:56:64:73:83 SD: 2.2182 cents 37:48:58:69:79:90:102 SD: 2.1735 cents 40:52:63:75:85:98:110 SD: 1.7674 cents 47:61:74:88:100:115:130 SD: 1.6736 cents 53:69:83:99:113:130:146 SD: 1.5951 cents 54:70:85:101:115:132:149 SD: 1.3764 cents 63:82:99:118:134:154:174 SD: 1.2904 cents 67:87:105:125:142:164:185 SD: 1.1597 cents 70:91:110:131:149:171:193 SD: 0.9540 cents 74:96:116:138:157:181:204 SD: 0.8792 cents 90:117:141:168:191:220:248 SD: 0.7396 cents 97:126:152:181:206:237:267 SD: 0.7363 cents 107:139:168:200:227:262:295 SD: 0.7359 cents 114:148:179:213:242:279:314 SD: 0.5659 cents 130:169:204:243:276:318:358 SD: 0.5432 cents 137:178:215:256:291:335:378 SD: 0.4774 cents 144:187:226:269:306:352:397 SD: 0.3329 cents 222:288:348:415:472:543:612 SD: 0.3260 cents 238:309:373:445:506:582:656 SD: 0.2483 cents 278:361:436:520:591:680:766 SD: 0.2461 cents 312:405:489:583:663:763:860 SD: 0.2248 cents 315:409:494:589:669:770:868 SD: 0.2157 cents 345:448:541:645:733:844:951 SD: 0.1714 cents 352:457:552:658:748:861:970 SD: 0.0915 cents 496:644:778:927:1054:1213:1367 SD: 0.0861 cents