Scala analysis: United_Kingdom_Bagpipe_02
Bagpipe 2 (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: 347.000 cents 347.000000 3: 498.000 cents 498.000000 4: 702.000 cents 702.000000 5: 852.000 cents 852.000000 6: 1017.000 cents 1017.000000 7: 1200.000 cents 1200.000000
SHOW/INTERVAL
0: 183.0000 cents 183.0000 1: 182.0000 cents 182.0000 2: 165.0000 cents 165.0000 3: 151.0000 cents 151.0000 4: 204.0000 cents 204.0000 5: 150.0000 cents 150.0000 6: 165.0000 cents 165.0000 7: 183.0000 cents 183.0000
SHOW INTERVALS
Interval class, Number of incidences, Size: 1: 1 150.00000 cents 1: 1 151.00000 cents 1: 2 165.00000 cents 1: 1 182.00000 cents 1: 1 183.00000 cents 1: 1 204.00000 cents 2: 1 315.00000 cents 2: 1 316.00000 cents 2: 1 347.00000 cents 2: 1 348.00000 cents 2: 1 354.00000 cents 2: 1 355.00000 cents 2: 1 365.00000 cents 3: 2 498.00000 cents 3: 1 505.00000 cents 3: 1 519.00000 cents 3: 1 520.00000 cents 3: 2 530.00000 cents 4: 2 670.00000 cents 4: 1 680.00000 cents 4: 1 681.00000 cents 4: 1 695.00000 cents 4: 2 702.00000 cents 5: 1 835.00000 cents 5: 1 845.00000 cents 5: 1 846.00000 cents 5: 1 852.00000 cents 5: 1 853.00000 cents 5: 1 884.00000 cents 5: 1 885.00000 cents 6: 1 996.00000 cents 6: 1 1017.00000 cents 6: 1 1018.00000 cents 6: 2 1035.00000 cents 6: 1 1049.00000 cents 6: 1 1050.00000 cents Highest number of different intervals for one interval class: 7 Average number of different intervals per interval class: 6.00000 = 6
SHOW/LINE/CENTS INTERVALS
1 2 3 4 5 6 7 0.0 : 182.0 347.0 498.0 702.0 852.0 1017.0 1200.0 182.0 : 165.0 316.0 520.0 670.0 835.0 1018.0 1200.0 347.0 : 151.0 355.0 505.0 670.0 853.0 1035.0 1200.0 498.0 : 204.0 354.0 519.0 702.0 884.0 1049.0 1200.0 702.0 : 150.0 315.0 498.0 680.0 845.0 996.0 1200.0 852.0 : 165.0 348.0 530.0 695.0 846.0 1050.0 1200.0 1017.0: 183.0 365.0 530.0 681.0 885.0 1035.0 1200.0 1200.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class: 1: 150.0000 .. 204.0000 cents 54.00000 cents 150.00000 cents 2: 315.0000 .. 365.0000 cents 50.00000 cents 111.00000 cents 3: 498.0000 .. 530.0000 cents 32.00000 cents 133.00000 cents 4: 670.0000 .. 702.0000 cents 32.00000 cents 140.00000 cents 5: 835.0000 .. 885.0000 cents 50.00000 cents 133.00000 cents 6: 996.0000 .. 1050.0000 cents 54.00000 cents 111.00000 cents
SHOW DATA
Number of notes : 7 -- Interval properties -- Smallest interval : 150.00000 cents, class 1 Average step (divided formal octave): 171.4286 cents Largest one step interval : 204.00000 cents Average / Smallest step : 1.142857 Largest / Average step : 1.190000 Largest / Smallest step : 1.360000 Median interval of one step : 165.00000 cents, amount: 2 Most common interval of one step : 165.00000 cents, amount: 2 Least squares average step : 171.00000 cents, oct.: 1197.00000 cents Scale is strictly proper Scale is a mode of a 1200-tone equal temperament with octave 1200.000 cents degrees: 182 347 498 702 852 1017 1200 Least number of segments generator : 601 of 601.000 cents and inv. number of contiguous generator circle segments: 1 Shortest superset generator : 857 of 857.000 cents and inv. generated superset size: 229 = 222 more = 3271.429% Number of contiguous 1-step segments: 0 Step pattern alph. order: ABCDEBF Step pattern size order : DCBFACE Scale is a Constant Structure, by a margin of 111.00000 cents Scale diversity : 1.238360 Rothenberg stability : 1.000000 = 1 Lumma stability : 0.773333 Rothenberg efficiency : 0.326531 redundancy: 0.673469 Efficiency x scale size : 2.285714 Number of different interval sizes : 36 = 6.00000 / class Number of one step interval sizes : 6 Highest interval variety : 7 Mean interval variety : 6.00000 = 6 Median interval variety : 5 Lowest interval variety : 5 Smallest interval difference : 1.00000 cents Number of recognisable fifths : 3, average 699.6667 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 : 3 = 42.8571% -- Rational properties --
FIT/MODE
7: 1 1 1 1 1 1 1 SP B ME I SD: 10.8214 c. M:-16.2857 c. Lebeng 24: 4 3 3 4 3 3 4 SP D3 I SD: 9.5169 c. M:-18.0000 c. Miha'il Musaqa's mode: Egypt, Neutral Diatonic Hypodorian, Dastgah-e Sehgah, Maqam Nairuz 27: 4 4 3 5 3 4 4 SP D3 I SD: 6.9837 c. M:-9.1111 c. 31: 5 4 4 5 4 4 5 SP D3 I SD: 6.5610 c. M:-11.5484 c. Neutral Diatonic Hypodorian 34: 5 5 4 6 4 5 5 SP D3 I SD: 4.8265 c. M:-6.5294 c. 41: 6 6 5 7 5 6 6 SP D3 I SD: 4.2089 c. M:-7.3902 c. 51: 8 7 6 9 6 7 8 SP I SD: 4.7230 c. M:-6.2353 c. 53: 8 7 7 9 7 7 8 SP D3 I SD: 4.2907 c. M:-8.3774 c. 58: 9 8 7 10 7 8 9 SP I SD: 3.1251 c. M:-4.7241 c. 65: 10 9 8 11 8 9 10 SP I SD: 2.1298 c. M:-3.7692 c. 72: 11 10 9 12 9 10 11 SP I SD: 1.8083 c. M:-3.0000 c. 104: 16 14 13 18 13 14 16 SP I SD: 1.7067 c. M:-2.6154 c. 111: 17 15 14 19 14 15 17 SP I SD: 1.2020 c. M:-2.0541 c. 118: 18 16 15 20 15 16 18 SP I SD: 1.0576 c. M:-2.2373 c. 145: 22 20 18 25 18 20 22 SP I SD: 0.8929 c. M:-1.4483 c. 152: 23 21 19 26 19 21 23 SP I SD: 0.7100 c. M:-1.4211 c. 190: 29 26 24 32 24 26 29 SP I SD: 0.7266 c. M:-1.1579 c. 217: 33 30 27 37 27 30 33 SP I SD: 0.6278 c. M:-1.3871 c. 224: 34 31 28 38 28 31 34 SP I SD: 0.5815 c. M:-1.2143 c. 256: 39 35 32 44 32 35 39 SP I SD: 0.8025 c. M:-1.1250 c. 263: 40 36 33 45 33 36 40 SP I SD: 0.6489 c. M:-1.2319 c. 270: 41 37 34 46 34 37 41 SP I SD: 0.6143 c. M:-1.3333 c. 328: 50 45 41 56 41 45 50 SP I SD: 0.5010 c. M:-0.9268 c. 335: 51 46 42 57 42 46 51 SP I SD: 0.3943 c. M:-0.6866 c. 342: 52 47 43 58 43 47 52 SP I SD: 0.4069 c. M:-0.6316 c. 480: 73 66 60 82 60 66 73 SP I SD: 0.4629 c. M:-0.5000 c. 487: 74 67 61 83 61 67 74 SP I SD: 0.4129 c. M:-0.6591 c. 559: 85 77 70 95 70 77 85 SP I SD: 0.4041 c. M:-0.7639 c. 634: 96 87 80 108 79 87 97 SP SD: 0.3769 c. M: 0.6278 c. 641: 97 88 81 109 80 88 98 SP SD: 0.3524 c. M: 0.6661 c. 675: 102 93 85 115 84 93 103 SP SD: 0.3514 c. M: 0.6667 c. 694: 105 96 87 118 87 95 106 SP SD: 0.3347 c. M:-0.5504 c. 706: 107 97 89 120 88 97 108 SP SD: 0.2936 c. M: 0.5694 c. 713: 108 98 90 121 89 98 109 SP SD: 0.2820 c. M: 0.4502 c. 720: 109 99 91 122 90 99 110 SP SD: 0.3086 c. M:-0.3333 c. 747: 113 103 94 127 93 103 114 SP SD: 0.2917 c. M: 0.5944 c. 786: 119 108 99 134 98 108 120 SP SD: 0.2703 c. M: 0.4351 c. 793: 120 109 100 135 99 109 121 SP SD: 0.2512 c. M: 0.4678 c. 824: 125 113 104 140 103 113 126 SP SD: 0.2436 c. M: 0.4951 c. 851: 129 117 107 145 106 117 130 SP SD: 0.2127 c. M: 0.3137 c. 858: 130 118 108 146 107 118 131 SP SD: 0.1622 c. M: 0.2517 c. 865: 131 119 109 147 108 119 132 SP SD: 0.1527 c. M: 0.2659 c. 976: 148 134 123 166 122 134 149 SP SD: 0.1335 c. M: 0.2787 c. 1010: 153 139 127 172 126 139 154 SP SD: 0.1367 c. M: 0.2178 c. 1017: 154 140 128 173 127 140 155 SP SD: 0.1310 c. M: 0.2891 c. 1041: 158 143 131 177 130 143 159 SP SD: 0.1289 c. M: 0.2853 c. 1048: 159 144 132 178 131 144 160 SP SD: 0.1030 c. M: 0.2061 c. 1055: 160 145 133 179 132 145 161 SP SD: 0.1227 c. M:-0.1991 c. 1082: 164 149 136 184 135 149 165 SP SD: 0.1153 c. M: 0.2440 c. 1128: 171 155 142 192 141 155 172 SP SD: 0.1154 c. M: 0.1915 c. 1166: 177 160 147 198 146 160 178 SP SD: 0.1407 c. M: 0.1904 c. 1186: 180 163 149 202 148 163 181 SP SD: 0.1277 c. M:-0.1922 c. 1193: 181 164 150 203 149 164 182 SP SD: 0.0635 c. M:-0.0956 c. 1200: 182 165 151 204 150 165 183 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: 0.0225 cents 3 x x 4 x 5 x 6 S SD: 10.7862 cents 4 x 5 x 6 x 7:8 S SD: 15.5449 cents 5 x 6:7 x 8:9:10 S SD: 19.5898 cents 6 x 7:8:9:10:11:12 S SD: 15.3796 cents 7:8 x 9 x 11:13:14 SD: 23.8329 cents 8:9:10:11:12:13:14:16 S SD: 12.2231 cents 9:10:11:12:14:15:16:18 S SD: 10.5396 cents 10:11:12:13:15:16:18:20 SD: 9.7497 cents 14:16:17:19:21:23:25:28 SD: 8.6986 cents 16:18:20:21:24:26:29:32 SD: 7.8977 cents 17:19:21:23:26:28:31:34 SD: 7.7032 cents 18:20:22:24:27:29:32:36 SD: 4.8043 cents 24:27:29:32:36:39:43:48 SD: 4.6125 cents 26:29:32:35:39:43:47:52 SD: 4.2988 cents 27:30:33:36:41:44:49:54 SD: 3.8097 cents 28:31:34:37:42:46:50:56 SD: 3.5602 cents 30:33:37:40:45:49:54:60 SD: 3.3639 cents 36:40:44:48:54:59:65:72 SD: 0.9705 cents 90:100:110:120:135:147:162:180 SD: 0.3922 cents 126:140:154:168:189:206:227:252 SD: 0.3414 cents 198:220:242:264:297:324:356:396 SD: 0.2259 cents 234:260:286:312:351:383:421:468 SD: 0.1685 cents 288:320:352:384:432:471:518:576 SD: 0.1463 cents 324:360:396:432:486:530:583:648 SD: 0.0825 cents