Scala analysis: Peru_Panpipes_28
28 (Panpipes), Peru
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 300.000 cents 300.000000 2: 647.000 cents 647.000000 3: 982.000 cents 982.000000 4: 1218.000 cents 1218.000000 5: 1418.000 cents 1418.000000 6: 1684.000 cents 1684.000000 7: 1798.000 cents 1798.000000 8: 1957.000 cents 1957.000000
SHOW/INTERVAL
0: 159.0000 cents 159.0000 1: 300.0000 cents 300.0000 2: 347.0000 cents 347.0000 3: 335.0000 cents 335.0000 4: 236.0000 cents 236.0000 5: 200.0000 cents 200.0000 6: 266.0000 cents 266.0000 7: 114.0000 cents 114.0000 8: 159.0000 cents 159.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 114.00000 cents 1: 1 159.00000 cents 1: 1 200.00000 cents 1: 1 236.00000 cents 1: 1 266.00000 cents 1: 1 300.00000 cents 1: 1 335.00000 cents 1: 1 347.00000 cents 2: 1 273.00000 cents 2: 1 380.00000 cents 2: 1 436.00000 cents 2: 1 459.00000 cents 2: 1 466.00000 cents 2: 1 571.00000 cents 2: 1 647.00000 cents 2: 1 682.00000 cents 3: 1 539.00000 cents 3: 1 573.00000 cents 3: 1 580.00000 cents 3: 1 702.00000 cents 3: 1 771.00000 cents 3: 1 806.00000 cents 3: 1 918.00000 cents 3: 1 982.00000 cents 4: 1 739.00000 cents 4: 1 816.00000 cents 4: 1 839.00000 cents 4: 1 920.00000 cents 4: 1 1037.00000 cents 4: 1 1118.00000 cents 4: 1 1141.00000 cents 4: 1 1218.00000 cents 5: 1 975.00000 cents 5: 1 1039.00000 cents 5: 1 1151.00000 cents 5: 1 1186.00000 cents 5: 1 1255.00000 cents 5: 1 1377.00000 cents 5: 1 1384.00000 cents 5: 1 1418.00000 cents 6: 1 1275.00000 cents 6: 1 1310.00000 cents 6: 1 1386.00000 cents 6: 1 1491.00000 cents 6: 1 1498.00000 cents 6: 1 1521.00000 cents 6: 1 1577.00000 cents 6: 1 1684.00000 cents 7: 1 1610.00000 cents 7: 1 1622.00000 cents 7: 1 1657.00000 cents 7: 1 1691.00000 cents 7: 1 1721.00000 cents 7: 1 1757.00000 cents 7: 1 1798.00000 cents 7: 1 1843.00000 cents Highest number of different intervals for one interval class: 8 Average number of different intervals per interval class: 8.00000 = 8
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 8 0.0 : 300.0 647.0 982.0 1218.0 1418.0 1684.0 1798.0 1957.0 300.0 : 347.0 682.0 918.0 1118.0 1384.0 1498.0 1657.0 1957.0 647.0 : 335.0 571.0 771.0 1037.0 1151.0 1310.0 1610.0 1957.0 982.0 : 236.0 436.0 702.0 816.0 975.0 1275.0 1622.0 1957.0 1218.0: 200.0 466.0 580.0 739.0 1039.0 1386.0 1721.0 1957.0 1418.0: 266.0 380.0 539.0 839.0 1186.0 1521.0 1757.0 1957.0 1684.0: 114.0 273.0 573.0 920.0 1255.0 1491.0 1691.0 1957.0 1798.0: 159.0 459.0 806.0 1141.0 1377.0 1577.0 1843.0 1957.0 1957.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 114.0000 .. 347.0000 cents 233.00000 cents 114.00000 cents 2: 273.0000 .. 682.0000 cents 409.00000 cents -74.00000 cents 3: 539.0000 .. 982.0000 cents 443.00000 cents -143.00000 cents 4: 739.0000 .. 1218.0000 cents 479.00000 cents -243.00000 cents 5: 975.0000 .. 1418.0000 cents 443.00000 cents -243.00000 cents 6: 1275.0000 .. 1684.0000 cents 409.00000 cents -143.00000 cents 7: 1610.0000 .. 1843.0000 cents 233.00000 cents -74.00000 cents
SHOW DATA
Number of notes : 8 -- Interval properties -- Smallest interval : 114.00000 cents, class 1 Average step (divided formal octave): 244.6250 cents Largest one step interval : 347.00000 cents Average / Smallest step : 2.145833 Largest / Average step : 1.418498 Largest / Smallest step : 3.043860 Median interval of one step : 251.00000 cents, amount: 0 Least squares average step : 268.86275 cents, oct.: 2150.90196 cents Scale is not proper Scale is a mode of a 1957-tone equal temperament with octave 1957.000 cents degrees: 300 647 982 1218 1418 1684 1798 1957 Least number of segments generator : 980 of 980.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1441 of 1441.000 cents and inv. generated superset size: 698 = 690 more = 8725.000% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEFGH Step pattern size order : FHGDCEAB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 2.00000 cents Scale diversity : 0.334726 Lumma stability : 0.116505 Lumma impropriety factor : 0.466530 Rothenberg efficiency : 0.250000 redundancy: 0.750000 Efficiency x scale size : 2.000000 Number of different interval sizes : 56 = 8.00000 / class Number of one step interval sizes : 8 Highest interval variety : 8 Mean interval variety : 8.00000 = 8 Median interval variety : 8 Lowest interval variety : 8 Smallest interval difference : 2.00000 cents Number of recognisable fifths : 1, average 702.0000 cents Number of recognisable fourths : 0 Formal octave complements present : 1 = 12.5000% 2/1 octave complements present : 0 = 0.0000% -- Rational properties --
FIT/MODE
8: 1 2 1 1 1 1 0 1 N T3 SD: 51.5558 c. M:-86.8750 c. 11: 2 2 2 1 1 2 0 1 N SD: 55.6467 c. M:-95.0909 c. 12: 2 2 2 1 2 1 1 1 N SD: 38.5411 c. M: 76.4167 c. 13: 2 2 2 2 1 2 1 1 N SD: 40.7012 c. M: 78.7692 c. 14: 2 3 2 2 1 2 1 1 N SD: 26.3391 c. M:-51.9286 c. 19: 3 3 4 2 2 2 1 2 N SD: 30.8849 c. M:-48.0000 c. 20: 3 3 4 2 2 3 1 2 N SD: 34.7187 c. M: 59.9000 c. 21: 3 4 3 3 2 3 1 2 N SD: 22.9033 c. M: 50.0952 c. 22: 3 4 4 3 2 3 1 2 N SD: 18.9520 c. M: 33.1364 c. 24: 4 4 4 3 2 4 1 2 N SD: 17.9728 c. M: 31.7917 c. 26: 4 5 4 3 3 3 2 2 N SD: 16.3292 c. M:-30.4231 c. 28: 4 5 5 3 3 4 2 2 N SD: 17.5347 c. M: 29.8214 c. 30: 5 5 5 4 3 4 2 2 N SD: 17.4574 c. M:-28.5333 c. 32: 5 6 5 4 3 5 1 3 N SD: 16.8351 c. M:-28.3750 c. 33: 5 6 6 4 3 4 2 3 N SD: 17.3622 c. M:-27.3636 c. 34: 5 6 6 4 3 5 2 3 N SD: 16.5211 c. M: 36.5882 c. 36: 5 7 6 4 4 5 2 3 N SD: 13.0453 c. M: 28.1944 c. 37: 6 6 7 4 4 5 2 3 N SD: 12.0192 c. M:-22.9459 c. 39: 6 7 7 4 4 6 2 3 N SD: 13.2837 c. M:-22.1026 c. 40: 6 7 7 5 4 5 3 3 N SD: 9.8298 c. M: 20.5500 c. 44: 7 8 7 5 5 6 2 4 N SD: 12.5655 c. M:-20.1591 c. 45: 7 8 8 5 5 6 2 4 N SD: 11.4225 c. M:-18.2444 c. 46: 7 8 8 6 4 7 2 4 N SD: 11.0743 c. M:-17.7391 c. 48: 7 9 8 6 5 6 3 4 N SD: 8.1486 c. M: 14.6042 c. 51: 8 9 9 6 5 7 3 4 N SD: 7.7015 c. M:-15.6863 c. 52: 8 9 9 6 6 7 3 4 N SD: 8.3862 c. M: 13.6923 c. 58: 9 10 10 7 6 8 3 5 N SD: 4.6911 c. M: 9.7069 c. 72: 11 13 12 9 7 10 4 6 N SD: 3.6632 c. M:-5.3333 c. 98: 15 17 17 12 10 13 6 8 N SD: 3.8720 c. M: 7.9796 c. 106: 16 19 18 13 11 14 6 9 N SD: 3.7756 c. M: 7.1604 c. 109: 17 19 19 13 11 15 6 9 N SD: 3.2865 c. M:-5.4771 c. 124: 19 22 21 15 13 17 7 10 N SD: 2.4797 c. M:-4.7016 c. 137: 21 24 24 16 14 19 8 11 N SD: 2.8697 c. M: 4.1898 c. 145: 22 26 25 17 15 20 8 12 N SD: 2.5145 c. M: 3.3103 c. 149: 23 26 26 18 15 20 9 12 N SD: 2.4427 c. M:-3.4832 c. 157: 24 28 27 19 16 21 9 13 N SD: 2.2941 c. M:-3.5669 c. 170: 26 30 29 21 17 23 10 14 N SD: 2.3167 c. M: 3.5000 c. 175: 27 31 30 21 18 24 10 14 N SD: 2.3381 c. M:-4.6114 c. 185: 28 33 32 22 19 25 11 15 N SD: 1.8491 c. M: 3.8054 c. 209: 32 37 36 25 21 29 12 17 N SD: 1.6496 c. M: 4.0909 c. 235: 36 42 40 28 24 32 14 19 N SD: 1.6149 c. M:-2.5574 c. 236: 36 42 40 29 24 32 14 19 N SD: 1.4970 c. M: 3.5000 c. 243: 37 43 42 29 25 33 14 20 N SD: 1.6105 c. M: 2.7202 c. 257: 39 46 44 31 26 35 15 21 N SD: 1.3355 c. M: 3.0233 c. 273: 42 48 47 33 28 37 16 22 N SD: 1.0509 c. M: 1.8352 c. 345: 53 61 59 42 35 47 20 28 N SD: 0.7093 c. M:-1.5797 c. 403: 62 71 69 49 41 55 23 33 N SD: 0.9398 c. M: 1.2506 c. 418: 64 74 72 50 43 57 24 34 N SD: 0.8202 c. M:-1.4545 c. 429: 66 76 73 52 44 58 25 35 N SD: 0.7652 c. M: 1.2191 c. 432: 66 77 74 52 44 59 25 35 N SD: 0.7682 c. M:-1.1944 c. 490: 75 87 84 59 50 67 28 40 N SD: 0.6204 c. M:-1.4163 c. 508: 78 90 87 61 52 69 30 41 N SD: 0.5375 c. M:-1.0531 c. 530: 81 94 91 64 54 72 31 43 N SD: 0.4898 c. M: 0.9113 c. 566: 87 100 97 68 58 77 33 46 N SD: 0.4840 c. M: 0.9258 c. 580: 89 103 99 70 59 79 34 47 N SD: 0.4762 c. M: 0.8621 c. 614: 94 109 105 74 63 83 36 50 N SD: 0.4923 c. M: 1.1075 c. 638: 98 113 109 77 65 87 37 52 N SD: 0.4554 c. M: 0.8621 c. 654: 100 116 112 79 67 89 38 53 N SD: 0.5085 c. M: 0.7645 c. 665: 102 118 114 80 68 90 39 54 N SD: 0.4813 c. M:-0.9143 c. 704: 108 125 120 85 72 96 41 57 N SD: 0.4955 c. M: 0.7202 c. 723: 111 128 124 87 74 98 42 59 N SD: 0.4013 c. M: 0.6999 c. 789: 121 140 135 95 81 107 46 64 N SD: 0.3351 c. M:-0.7630 c. 847: 130 150 145 102 87 115 49 69 N SD: 0.3544 c. M:-0.6517 c. 853: 131 151 146 103 87 116 50 69 N SD: 0.3305 c. M:-0.6964 c. 911: 140 161 156 110 93 124 53 74 N SD: 0.3284 c. M:-0.7464 c. 925: 142 164 158 112 94 126 54 75 N SD: 0.3873 c. M:-0.6292 c. 947: 145 168 162 114 97 129 55 77 N SD: 0.3837 c. M: 0.8163 c. 959: 147 170 164 116 98 130 56 78 N SD: 0.2701 c. M: 0.4494 c. 998: 153 177 171 120 102 136 58 81 N SD: 0.2596 c. M:-0.4319 c. 1096: 168 194 188 132 112 149 64 89 N SD: 0.2616 c. M: 0.6186 c. 1104: 169 196 189 133 113 150 64 90 N SD: 0.2553 c. M: 0.5380 c. 1134: 174 201 194 137 116 154 66 92 N SD: 0.3027 c. M:-0.5661 c. 1168: 179 207 200 141 119 159 68 95 N SD: 0.2263 c. M: 0.5154 c. 1234: 189 219 211 149 126 168 72 100 N SD: 0.2351 c. M:-0.4100 c. 1253: 192 222 215 151 128 170 73 102 N SD: 0.2784 c. M:-0.4046 c. 1292: 198 229 221 156 132 176 75 105 N SD: 0.2477 c. M: 0.4706 c. 1303: 200 231 223 157 133 177 76 106 N SD: 0.2552 c. M:-0.3837 c. 1319: 202 234 226 159 135 179 77 107 N SD: 0.2203 c. M:-0.4170 c. 1377: 211 244 236 166 141 187 80 112 N SD: 0.2006 c. M:-0.3631 c. 1391: 213 247 238 168 142 189 81 113 N SD: 0.1969 c. M:-0.3767 c. 1427: 219 253 244 172 146 194 83 116 N SD: 0.1819 c. M:-0.3385 c. 1525: 234 270 261 184 156 207 89 124 N SD: 0.2176 c. M: 0.3384 c. 1528: 234 271 262 184 156 208 89 124 N SD: 0.2148 c. M:-0.3423 c. 1554: 238 276 266 187 159 211 91 126 N SD: 0.2437 c. M:-0.3243 c. 1576: 242 279 270 190 161 214 92 128 N SD: 0.2167 c. M:-0.5038 c. 1612: 247 286 276 194 165 219 94 131 N SD: 0.1518 c. M: 0.3381 c. 1684: 258 299 288 203 172 229 98 137 N SD: 0.1704 c. M:-0.2975 c. 1808: 277 321 309 218 185 246 105 147 N SD: 0.2013 c. M: 0.2871 c. 1812: 278 321 310 219 185 246 106 147 N SD: 0.2012 c. M:-0.2649 c. 1833: 281 325 314 221 187 249 107 149 N SD: 0.1678 c. M: 0.3181 c. 1885: 289 334 323 227 193 256 110 153 N SD: 0.1399 c. M: 0.2037 c. 1957: 300 347 335 236 200 266 114 159 N SD: 0.0000 c. M:-0.0000 c.
FIT/HARMONIC
1 x x x 2 x x x 3 S SD: 28.9567 cents 2 x 3 x 4 x 5 x 6 S SD: 31.5403 cents 3 x 4:5:6:7:8 x 9 S SD: 32.3441 cents 4:5:6:7:8:9 x 11:12 SD: 18.2809 cents 5:6:7:9:10:11:13:14:15 SD: 14.2303 cents 7:8:10:12:14:16:19:20:22 SD: 13.4167 cents 9:11:13:16:18:20:24:25:28 SD: 9.0677 cents 11:13:16:19:22:25:29:31:34 SD: 5.3015 cents 16:19:23:28:32:36:42:45:50 SD: 4.8932 cents 20:24:29:35:40:45:53:57:62 SD: 4.3256 cents 22:26:32:39:44:50:58:62:68 SD: 3.0639 cents 31:37:45:55:63:70:82:88:96 SD: 2.4380 cents 33:39:48:58:67:75:87:93:102 SD: 2.1279 cents 37:44:54:65:75:84:98:105:115 SD: 1.9070 cents 42:50:61:74:85:95:111:119:130 SD: 1.0085 cents 64:76:93:113:129:145:169:181:198 SD: 0.8939 cents 79:94:115:139:160:179:209:223:245 SD: 0.8923 cents 84:100:122:148:170:191:222:237:260 SD: 0.7693 cents 90:107:131:159:182:204:238:254:279 SD: 0.6663 cents 101:120:147:178:204:229:267:285:313 SD: 0.5489 cents 126:150:183:222:255:286:333:356:390 SD: 0.5123 cents 132:157:192:233:267:299:349:373:409 SD: 0.5002 cents 143:170:208:252:289:324:378:404:443 SD: 0.3980 cents 148:176:215:261:299:336:391:418:458 SD: 0.3763 cents 185:220:269:326:374:420:489:523:573 SD: 0.3516 cents 190:226:276:335:384:431:503:537:588 SD: 0.2715 cents 249:296:362:439:503:565:659:703:771 SD: 0.2587 cents 254:302:369:448:513:576:672:718:787 SD: 0.2385 cents 280:333:407:494:566:635:741:791:867 SD: 0.1888 cents 291:346:423:513:588:660:770:822:901 SD: 0.1451 cents 338:402:491:596:683:767:894:955:1047 SD: 0.1250 cents 428:509:622:755:865:971:1132:1209:1325 SD: 0.1242 cents 439:522:638:774:887:996:1161:1240:1360 SD: 0.1195 cents 470:559:683:829:950:1066:1243:1328:1456 SD: 0.1142 cents 481:572:699:848:972:1091:1272:1359:1490 SD: 0.0936 cents