Scala analysis: United_Kingdom_Bagpipe_01
Bagpipe 1 (Bagpipes), United Kingdom
Generated by Scala: https://www.huygens-fokker.org/scala/
SHOW
0: 1/1 0.000000 unison, perfect prime 1: 182.000 cents 182.000000 2: 386.000 cents 386.000000 3: 537.000 cents 537.000000 4: 680.000 cents 680.000000 5: 884.000 cents 884.000000 6: 1049.000 cents 1049.000000 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 151.0000 cents 151.0000 1: 182.0000 cents 182.0000 2: 204.0000 cents 204.0000 3: 151.0000 cents 151.0000 4: 143.0000 cents 143.0000 5: 204.0000 cents 204.0000 6: 165.0000 cents 165.0000 7: 151.0000 cents 151.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 143.00000 cents 1: 2 151.00000 cents 1: 1 165.00000 cents 1: 1 182.00000 cents 1: 2 204.00000 cents 2: 1 294.00000 cents 2: 1 316.00000 cents 2: 1 333.00000 cents 2: 1 347.00000 cents 2: 1 355.00000 cents 2: 1 369.00000 cents 2: 1 386.00000 cents 3: 3 498.00000 cents 3: 1 512.00000 cents 3: 1 520.00000 cents 3: 2 537.00000 cents 4: 2 663.00000 cents 4: 1 680.00000 cents 4: 1 688.00000 cents 4: 3 702.00000 cents 5: 1 814.00000 cents 5: 1 831.00000 cents 5: 1 845.00000 cents 5: 1 853.00000 cents 5: 1 867.00000 cents 5: 1 884.00000 cents 5: 1 906.00000 cents 6: 2 996.00000 cents 6: 1 1018.00000 cents 6: 1 1035.00000 cents 6: 2 1049.00000 cents 6: 1 1057.00000 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 5.33333 = 16/3
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 182.0 386.0 537.0 680.0 884.0 1049.0 1200.0 182.0 : 204.0 355.0 498.0 702.0 867.0 1018.0 1200.0 386.0 : 151.0 294.0 498.0 663.0 814.0 996.0 1200.0 537.0 : 143.0 347.0 512.0 663.0 845.0 1049.0 1200.0 680.0 : 204.0 369.0 520.0 702.0 906.0 1057.0 1200.0 884.0 : 165.0 316.0 498.0 702.0 853.0 996.0 1200.0 1049.0: 151.0 333.0 537.0 688.0 831.0 1035.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 143.0000 .. 204.0000 cents 61.00000 cents 143.00000 cents 2: 294.0000 .. 386.0000 cents 92.00000 cents 90.00000 cents 3: 498.0000 .. 537.0000 cents 39.00000 cents 112.00000 cents 4: 663.0000 .. 702.0000 cents 39.00000 cents 126.00000 cents 5: 814.0000 .. 906.0000 cents 92.00000 cents 112.00000 cents 6: 996.0000 .. 1057.0000 cents 61.00000 cents 90.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 143.00000 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 204.00000 cents Average / Smallest step : 1.198801 Largest / Average step : 1.190000 Largest / Smallest step : 1.426573 Median interval of one step : 165.00000 cents, amount: 1 Least squares average step : 174.27857 cents, oct.: 1219.95000 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 182 386 537 680 884 1049 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 1187 of 1187.000 cents and inv. generated superset size: 225 = 218 more = 3214.286% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDBEC Step pattern size order : DEBAECB Scale is sum-free (all different intervals) Scale is a Constant Structure, by a margin of 90.00000 cents Scale diversity : 1.349236 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.680000 Rothenberg efficiency : 0.355102 redundancy: 0.644898 Efficiency x scale size : 2.485714 Number of different interval sizes : 32 = 5.33333 / class Number of one step interval sizes : 5 Highest interval variety : 7 Mean interval variety : 5.33333 = 16/3 Median interval variety : 4 Lowest interval variety : 4 Smallest interval difference : 8.00000 cents Most common intervals : 498.00000 cents & inv., amount: 3 Most common triad is 0.0 498.000 702.000 cents, amount: 2 Number of recognisable fifths : 4, average 698.5000 cents Number of appreciable fifths : 3, average 702.0000 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 : 1 = 14.2857% Limited transpositions with margin 92.0000 cents: 4 Limited inverse transpositions with margin 92.0000 cents: 2 6 -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 22.8670 c. M: 43.1429 c. Lebeng 15: 2 3 2 1 3 2 2 P D3 SD: 20.3751 c. M: 40.0000 c. 16: 2 3 2 2 3 2 2 SP M ME S SD: 14.9809 c. M: 32.0000 c. Mavila-7, Antiaeolian 18: 3 3 2 2 3 3 2 SP D3 S SD: 13.7518 c. M:-18.0000 c. 22: 3 4 3 2 4 3 3 SP D3 SD: 13.9431 c. M: 25.4545 c. 23: 3 4 3 3 4 3 3 SP M ME S SD: 13.9192 c. M: 25.4783 c. Mavila-7, Antiaeolian 24: 4 4 3 3 4 3 3 SP D3 S SD: 13.8667 c. M:-20.0000 c. Neutral Diatonic Hypophrygian 25: 4 4 3 3 4 4 3 SP D3 S SD: 9.9857 c. M: 20.0000 c. 26: 4 4 4 3 4 4 3 SP M ME S SD: 11.5302 c. M:-16.8462 c. 27: 4 5 3 3 5 4 3 SP S SD: 10.2891 c. M:-17.6667 c. 31: 5 5 4 4 5 4 4 SP D3 S SD: 8.4093 c. M:-16.7742 c. Neutral Diatonic Hypophrygian 32: 5 5 4 4 6 4 4 SP D3 S SD: 9.0810 c. M:-16.0000 c. 33: 5 6 4 4 5 5 4 SP SD: 8.8184 c. M:-14.0000 c. 34: 5 6 4 4 6 5 4 SP S SD: 6.3353 c. M:-9.8235 c. 41: 6 7 5 5 7 6 5 SP S SD: 6.3067 c. M: 10.1707 c. 46: 7 8 6 5 8 6 6 SP SD: 5.1819 c. M:-10.8261 c. 47: 7 8 6 6 8 6 6 SP SD: 5.4180 c. M:-9.6170 c. 49: 7 9 6 6 8 7 6 SP SD: 5.3948 c. M: 10.5714 c. 53: 8 9 7 6 9 7 7 SP SD: 3.7891 c. M: 7.4906 c. 58: 9 10 7 7 10 8 7 SP SD: 4.5781 c. M:-7.1034 c. 60: 9 10 8 7 10 8 8 SP SD: 4.5670 c. M: 9.0000 c. 65: 10 11 8 8 11 9 8 SP SD: 2.3103 c. M:-3.3077 c. 72: 11 12 9 9 12 10 9 SP SD: 2.2325 c. M: 3.6667 c. 87: 13 15 11 10 15 12 11 SP SD: 1.9760 c. M: 4.1379 c. 118: 18 20 15 14 20 16 15 SP SD: 1.1955 c. M:-1.9831 c. 152: 23 26 19 18 26 21 19 SP SD: 0.6616 c. M: 1.0526 c. 224: 34 38 28 27 38 31 28 SP SD: 0.6423 c. M: 1.2857 c. 270: 41 46 34 32 46 37 34 SP SD: 0.4324 c. M:-0.7778 c. 277: 42 47 35 33 47 38 35 SP SD: 0.3166 c. M: 0.6245 c. 429: 65 73 54 51 73 59 54 SP SD: 0.1336 c. M: 0.2797 c. 706: 107 120 89 84 120 97 89 SP SD: 0.1541 c. M: 0.2748 c. 771: 117 131 97 92 131 106 97 SP SD: 0.0743 c. M:-0.1556 c. 1048: 159 178 132 125 178 144 132 SP SD: 0.0960 c. M:-0.1527 c. 1200: 182 204 151 143 204 165 151 SP SD: 0.0000 c. M: 0.0000 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: 10.9775 cents 3 x x 4 x 5 x 6 S SD: 12.9856 cents 4 x 5 x 6 x 7:8 S SD: 20.7816 cents 5 x 6:7 x 8:9:10 S SD: 22.7613 cents 6:7 x 8:9:10:11:12 S SD: 15.9886 cents 7:8:9 x 10:12:13:14 S SD: 18.0001 cents 8:9:10:11:12:13:15:16 SD: 9.6880 cents 11:12:14:15:16:18:20:22 S SD: 9.1916 cents 12:13:15:16:18:20:22:24 SD: 8.9052 cents 16:18:20:22:24:27:29:32 SD: 6.4246 cents 17:19:21:23:25:28:31:34 SD: 5.2341 cents 19:21:24:26:28:32:35:38 SD: 4.3897 cents 25:28:31:34:37:42:46:50 SD: 3.6542 cents 27:30:34:37:40:45:49:54 SD: 3.3198 cents 35:39:44:48:52:58:64:70 SD: 2.7334 cents 36:40:45:49:53:60:66:72 SD: 1.5611 cents 60:67:75:82:89:100:110:120 SD: 1.4517 cents 71:79:89:97:105:118:130:142 SD: 1.2442 cents 72:80:90:98:107:120:132:144 SD: 0.9622 cents 96:107:120:131:142:160:176:192 SD: 0.9090 cents 108:120:135:147:160:180:198:216 SD: 0.4810 cents 173:192:216:236:256:288:317:346 SD: 0.4782 cents 179:199:224:244:265:298:328:358 SD: 0.4682 cents 189:210:236:258:280:315:346:378 SD: 0.4639 cents 216:240:270:295:320:360:396:432 SD: 0.3936 cents 225:250:281:307:333:375:412:450 SD: 0.3889 cents 228:253:285:311:338:380:418:456 SD: 0.3672 cents 233:259:291:318:345:388:427:466 SD: 0.3601 cents 245:272:306:334:363:408:449:490 SD: 0.2887 cents 264:293:330:360:391:440:484:528 SD: 0.2395 cents 297:330:371:405:440:495:544:594 SD: 0.2360 cents 324:360:405:442:480:540:594:648 SD: 0.1540 cents 360:400:450:491:533:600:660:720 SD: 0.1426 cents 432:480:540:589:640:720:792:864 SD: 0.1296 cents 561:623:701:765:831:935:1028:1122 SD: 0.1256 cents 569:632:711:776:843:948:1043:1138 SD: 0.1008 cents