Scala analysis: Georgia_GVM206-M

GVM206-M (Voice), Georgia

Generated by Scala: https://www.huygens-fokker.org/scala/

SHOW
  0:          1/1               0.000000 unison, perfect prime
  1:        179.000 cents     179.000000
  2:        358.000 cents     358.000000
  3:        500.000 cents     500.000000
  4:        701.000 cents     701.000000
  5:        887.000 cents     887.000000
  6:       1067.000 cents    1067.000000
  7:       1189.000 cents    1189.000000
SHOW/INTERVAL
  0:        122.0000 cents    122.0000
  1:        179.0000 cents    179.0000
  2:        179.0000 cents    179.0000
  3:        142.0000 cents    142.0000
  4:        201.0000 cents    201.0000
  5:        186.0000 cents    186.0000
  6:        180.0000 cents    180.0000
  7:        122.0000 cents    122.0000
SHOW INTERVALS
Interval class, Number of incidences, Size:
  1:   1 122.00000 cents
  1:   1 142.00000 cents
  1:   2 179.00000 cents
  1:   1 180.00000 cents
  1:   1 186.00000 cents
  1:   1 201.00000 cents
  2:   1 301.00000 cents
  2:   1 302.00000 cents
  2:   1 321.00000 cents
  2:   1 343.00000 cents
  2:   1 358.00000 cents
  2:   1 366.00000 cents
  2:   1 387.00000 cents
  3:   1 480.00000 cents
  3:   1 481.00000 cents
  3:   1 488.00000 cents
  3:   1 500.00000 cents
  3:   1 522.00000 cents
  3:   1 529.00000 cents
  3:   1 567.00000 cents
  4:   1 622.00000 cents
  4:   1 660.00000 cents
  4:   1 667.00000 cents
  4:   1 689.00000 cents
  4:   1 701.00000 cents
  4:   1 708.00000 cents
  4:   1 709.00000 cents
  5:   1 802.00000 cents
  5:   1 823.00000 cents
  5:   1 831.00000 cents
  5:   1 846.00000 cents
  5:   1 868.00000 cents
  5:   1 887.00000 cents
  5:   1 888.00000 cents
  6:   1 988.00000 cents
  6:   1 1003.00000 cents
  6:   1 1009.00000 cents
  6:   2 1010.00000 cents
  6:   1 1047.00000 cents
  6:   1 1067.00000 cents
Highest number of different intervals for one interval class: 7
Average number of different intervals per interval class: 6.66667 = 20/3
SHOW/LINE/CENTS INTERVALS
         1     2     3     4     5     6      7     
 0.0   : 179.0 358.0 500.0 701.0 887.0 1067.0 1189.0
 179.0 : 179.0 321.0 522.0 708.0 888.0 1010.0 1189.0
 358.0 : 142.0 343.0 529.0 709.0 831.0 1010.0 1189.0
 500.0 : 201.0 387.0 567.0 689.0 868.0 1047.0 1189.0
 701.0 : 186.0 366.0 488.0 667.0 846.0 988.0  1189.0
 887.0 : 180.0 302.0 481.0 660.0 802.0 1003.0 1189.0
 1067.0: 122.0 301.0 480.0 622.0 823.0 1009.0 1189.0
 1189.0
SHOW/SPAN INTERVALS
Interval class, Interval span, Span size, Gap to prev. class:
  1:  122.0000  .. 201.0000 cents      79.00000 cents                     122.00000 cents
  2:  301.0000  .. 387.0000 cents      86.00000 cents                     100.00000 cents
  3:  480.0000  .. 567.0000 cents      87.00000 cents                     93.00000 cents
  4:  622.0000  .. 709.0000 cents      87.00000 cents                     55.00000 cents
  5:  802.0000  .. 888.0000 cents      86.00000 cents                     93.00000 cents
  6:  988.0000  .. 1067.0000 cents     79.00000 cents                     100.00000 cents
SHOW DATA
Number of notes                     : 7
-- Interval properties --
Smallest interval                   : 122.00000 cents, class 1
Average step (divided formal octave): 169.8571 cents
Largest one step interval           : 201.00000 cents
Average / Smallest step             : 1.392272
Largest / Average step              : 1.183347
Largest / Smallest step             : 1.647541
Median interval of one step         : 179.00000 cents, amount: 2
Most common interval of one step    : 179.00000 cents, amount: 2
Least squares average step          : 173.99286 cents, oct.:  1217.95000 cents
Scale is strictly proper
Scale is a mode of a 1189-tone equal temperament with octave  1189.000 cents
  degrees: 179 358 500 701 887 1067 1189
Least number of segments generator  : 595 of 595.000 cents and inv.
  number of contiguous generator circle segments: 1
Shortest superset generator         : 881 of 881.000 cents and inv.
  generated superset size: 231 = 224 more = 3300.000%
Number of contiguous 1-step segments: 0
Step pattern alph. order: AABCDEF
Step pattern size order : CCBFEDA
Scale is sum-free (all different intervals)
Scale is a Constant Structure, by a margin of 55.00000 cents
Scale diversity                     : 1.481665
Rothenberg stability                : 1.000000 = 1
Lumma stability                     : 0.576114
Rothenberg efficiency               : 0.299320   redundancy: 0.700680
Efficiency x scale size             : 2.095238
Number of different interval sizes  : 40 = 6.66667 / class
Number of one step interval sizes   : 6
Highest interval variety            : 7
Mean interval variety               : 6.66667 = 20/3
Median interval variety             : 6.5
Lowest interval variety             : 6
Smallest interval difference        : 1.00000 cents
Most common intervals               : 179.00000 cents & inv., amount: 2
Number of recognisable fifths       : 4, average 701.7500 cents
Number of recognisable fourths      : 3, average 489.6667 cents
Number of appreciable fourths       : 2, average 494.0000 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%
2/1 octave complements present      : 0 = 0.0000%
-- Rational properties --
FIT/MODE
  7:  1 1 1 1 1 1 1  SP B ME I SD: 25.8777 c. M: 47.8571 c.  Lebeng
  9:  1 2 1 1 2 1 1   P M ME S SD: 33.0416 c. M: 46.8889 c.  Pelog Saptanada: Sunda
 10:  1 2 1 2 1 2 1   P M ME I SD: 32.4357 c. M: 60.1000 c. 
 12:  2 2 1 2 2 2 1   P M ME S SD: 18.7485 c. M:-38.3333 c.  G.Lydian, M.Ionian, M.Hypolydian, Major, Bilaval That, Mela Shankarabharanam, Raga Atana, Ghana Heptatonic, Peruvian Major, Matzore, Rast ascending: Greece, 4th plagal Byzantine, Ararai: Ethiopia, Makam Cargah, Ajam Ashiran, Dastgah-e Mahur, Dastgah-e Rast Panjgah, Xin: China, DS2, Heptatonia prima
 16:  2 3 2 2 3 2 2  SP M ME S SD: 21.6518 c. M: 32.1875 c.  Mavila-7, Antiaeolian
 17:  3 2 2 3 3 2 2  SP   D3 S SD: 16.6647 c. M:-30.8235 c.  Pseudo Rast
 19:  3 3 2 3 3 3 2  SP M ME S SD: 9.7855 c. M:-17.4737 c.  Nineteen-tone Major, Ionian
 27:  4 4 3 5 4 4 3  SP   T3   SD: 7.9112 c. M: 15.5926 c. 
 29:  4 5 3 5 5 4 3  SP        SD: 9.6511 c. M: 15.0000 c. 
 31:  5 4 4 5 5 5 3  SP        SD: 8.5629 c. M: 12.8065 c. 
 36:  5 6 4 6 6 5 4  SP        SD: 7.7560 c. M: 13.8611 c. 
 39:  6 6 4 7 6 6 4  SP        SD: 5.7843 c. M: 12.2051 c. 
 40:  6 6 5 7 6 6 4  SP        SD: 5.5601 c. M:-12.4000 c. 
 46:  7 7 5 8 7 7 5  SP        SD: 5.6903 c. M: 8.8913 c. 
 47:  7 7 6 8 7 7 5  SP        SD: 4.3151 c. M:-7.3404 c. 
 59:  9 9 7 10 9 9 6  SP        SD: 2.9948 c. M:-4.7458 c. 
 66:  10 10 8 11 10 10 7  SP        SD: 3.0171 c. M:-4.4242 c. 
 86:  13 13 10 15 13 13 9  SP        SD: 2.2459 c. M:-4.1047 c. 
 100: 15 15 12 17 16 15 10  SP        SD: 2.2338 c. M:-4.7500 c. 
 107: 16 16 13 18 17 16 11  SP        SD: 1.3140 c. M: 2.4112 c. 
 119: 18 18 14 20 19 18 12  SP        SD: 1.5017 c. M:-2.2521 c. 
 126: 19 19 15 21 20 19 13  SP        SD: 1.0815 c. M: 2.6984 c. 
 166: 25 25 20 28 26 25 17  SP        SD: 0.7788 c. M:-1.3855 c. 
 193: 29 29 23 33 30 29 20  SP        SD: 0.8254 c. M:-1.3109 c. 
 212: 32 32 25 36 33 32 22  SP        SD: 0.8008 c. M: 1.3868 c. 
 273: 41 41 33 46 43 41 28  SP        SD: 0.7484 c. M:-1.4835 c. 
 280: 42 42 34 47 44 42 29  SP        SD: 0.8417 c. M: 1.3000 c. 
 283: 43 42 34 48 44 43 29  SP        SD: 0.7760 c. M:-1.6608 c. 
 292: 44 44 35 49 46 44 30  SP        SD: 0.4975 c. M:-0.8459 c. 
 312: 47 47 37 53 49 47 32  SP        SD: 0.4760 c. M:-0.9391 c. 
 319: 48 48 38 54 50 48 33  SP        SD: 0.4506 c. M: 1.0000 c. 
 378: 57 57 45 64 59 57 39  SP        SD: 0.3974 c. M: 0.6746 c. 
 478: 72 72 57 81 75 72 49  SP        SD: 0.4326 c. M:-1.0188 c. 
 485: 73 73 58 82 76 73 50  SP        SD: 0.2891 c. M: 0.5773 c. 
 645: 97 97 77 109 101 98 66  SP        SD: 0.3457 c. M: 0.5039 c. 
 665: 100 100 80 112 104 101 68  SP        SD: 0.3425 c. M:-0.6316 c. 
 670: 101 101 80 113 105 101 69  SP        SD: 0.3338 c. M:-0.4746 c. 
 685: 103 103 82 116 107 104 70  SP        SD: 0.2809 c. M:-0.4964 c. 
 690: 104 104 82 117 108 104 71  SP        SD: 0.3227 c. M:-0.4420 c. 
 692: 104 104 83 117 108 105 71  SP        SD: 0.3009 c. M: 0.6127 c. 
 704: 106 106 84 119 110 107 72  SP        SD: 0.1992 c. M:-0.3977 c. 
 751: 113 113 90 127 117 114 77  SP        SD: 0.2492 c. M: 0.3955 c. 
 811: 122 122 97 137 127 123 83  SP        SD: 0.1852 c. M:-0.3144 c. 
 870: 131 131 104 147 136 132 89  SP        SD: 0.1652 c. M:-0.3667 c. 
 897: 135 135 107 152 140 136 92  SP        SD: 0.1619 c. M: 0.2754 c. 
 996: 150 150 119 168 156 151 102  SP        SD: 0.1599 c. M: 0.2540 c. 
 1023: 154 154 122 173 160 155 105  SP        SD: 0.1264 c. M: 0.2248 c. 
 1189: 179 179 142 201 186 180 122  SP        SD: 0.0000 c. M:-0.0000 c. 
FIT/HARMONIC
 1 x x x x x x 2  S SD: 11.0000 cents
 2 x x x 3 x x 4  S SD: 5.5207 cents
 3 x x 4 x 5 x 6  S SD: 3.8268 cents
 4 x 5 x 6:7 x 8  S SD: 21.8218 cents
 5 x 6:7 x 8:9:10  S SD: 25.7209 cents
 6:7 x 8:9:10:11:12  S SD: 15.0601 cents
 7:8 x 9:11:12:13:14    SD: 20.9816 cents
 8:9:10:11:12:13:15:16    SD: 11.7713 cents
 9:10:11:12:14:15:17:18    SD: 10.5945 cents
 12:13:15:16:18:20:22:24    SD: 7.6663 cents
 18:20:22:24:27:30:33:36  S SD: 3.4033 cents
 30:33:37:40:45:50:56:60    SD: 3.3140 cents
 36:40:44:48:54:60:67:72    SD: 2.5833 cents
 48:53:59:64:72:80:89:95    SD: 1.5802 cents
 66:73:81:88:99:110:122:131    SD: 1.1057 cents
 92:102:113:123:138:154:170:183    SD: 1.0596 cents
 100:111:123:133:150:167:185:199    SD: 1.0434 cents
 108:120:133:144:162:180:200:215    SD: 0.8838 cents
 122:135:150:163:183:204:226:242    SD: 0.8699 cents
 130:144:160:174:195:217:241:258    SD: 0.8698 cents
 135:150:166:180:202:225:250:268    SD: 0.8692 cents
 136:151:167:182:204:227:252:270    SD: 0.8436 cents
 138:153:170:184:207:230:256:274    SD: 0.7991 cents
 140:155:172:187:210:234:259:278    SD: 0.6964 cents
 148:164:182:198:222:247:274:294    SD: 0.6190 cents
 156:173:192:208:234:260:289:310    SD: 0.5361 cents
 182:202:224:243:273:304:337:362    SD: 0.4326 cents
 209:232:257:279:313:349:387:415    SD: 0.4312 cents
 218:242:268:291:327:364:404:433    SD: 0.3706 cents
 230:255:283:307:345:384:426:457    SD: 0.2166 cents
 405:449:498:541:607:676:750:805    SD: 0.2089 cents
 439:487:540:586:658:733:813:872    SD: 0.1929 cents
 457:507:562:610:685:763:846:908    SD: 0.1856 cents
 469:520:577:626:703:783:869:932    SD: 0.1697 cents
 475:527:584:634:712:793:880:944    SD: 0.1596 cents
 487:540:599:650:730:813:902:968    SD: 0.0872 cents