Map of linear temperaments

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Intended to be a map of all interesting linear temperaments (one period per octave). The only linear temperaments not appearing here should be non-octave ones, such as the Bohlen–Pierce linear temperament. The table ranges from 0 to 600 cents and is split in four parts to help with navigation.

Please make sure each octave fraction is always the mediant of the ones directly above and below.

For temperaments with more than one period per octave, see map of rank-2 temperaments.

0-150¢

Generator Cents Comments
   0\1    0.000
1\27 44.444 Quartonic/quartz
1\26 46.154 Quartonic/quartz
1\25 48.000
1\24 50.000 Hemiripple
1\23 52.174 Hemiripple/ceratitid
1\22 54.545 Escapade
1\21 57.143 Ceratitid/escapade
1\20 60.000
   2\39    61.538 Unicorn
1\19 63.158 Unicorn/sycamore
1\18 66.667 Sycamore
1\17 70.588 Slurpee
2\33 72.727
1\16 75.000 Slurpee
3\47 76.596 Rainy
5\78 76.923
2\31 77.419 Rainy/valentine/lupercalia
3\46 78.261 Valentine/lupercalia
1\15 80.000 Nautilus
2\29 82.759
3\43 83.721
1\14 85.714 Nautilus
3\41 87.805 Octacot
5\68 88.235
2\27 88.889 Octacot
1\13 92.308 Passion
3\38 94.737
2\25 96.000
5\62 96.774
3\37 97.297 Passion
4\49 97.959
1\12 100.000 Ripple
5\59 101.695
4\47 102.128
7\82 102.439
3\35 102.857
5\58 103.448
2\23 104.348 Ripple, lucite
5\57 105.263 Lucite, triencata
3\34 105.882 Triencata
1\11 109.091
2\21 114.286 Mercy
5\52 115.385
3\31 116.129 Mercy/miracle
10\103 116.505
17\175 116.571
24\247 116.599
7\72 116.667
25\257 116.732
18\185 116.757
11\113 116.814
4\41 117.073 Miracle
5\51 117.647
1\10 120.000
3\29 124.138 Negri/negril
11\106 124.528 Negroni
8\77 124.675 Negroni/negric
5\48 125.000 Negril
7\67 125.373
2\19 126.316 Negri
5\47 127.660
3\28 128.571 Negric
7\65 129.231
4\37 129.730 Twothirdtonic
9\83 130.120
5\46 130.435 Twothirdtonic
1\9 133.333
7\62 135.484 Doublethink
6\53 135.849
11\97 136.082
5\44 136.364 Doublethink
4\35 137.143
3\26 138.462
5\43 139.535 Bleu/progression
12\103 139.806
7\60 140.000
9\77 140.260
2\17 141.176 Bleu/progression
3\25 144.000
4\33 145.455
5\41 146.341 Indium/bohpier
16\131 146.565 Bohpier
11\90 146.667
6\49 146.939
13\106 147.170
7\57 147.368 Indium
1\8 150.000

150-300¢

Generator Cents Comments
   1\8    150.000
5\39 153.846
9\70 154.286 Nusecond
   4\31    154.839 Nusecond
7\54 155.556 Greeley
17\131 155.725
10\77 155.844
13\100 156.000
3\23 156.522 Greeley
2\15 160.000 Porcupine
5\37 162.162 Septimal porcupine
8\59 162.712
11\81 162.963
3\22 163.636 Septimal porcupine/porkypine
10\73 164.384 Porkypine/porky
7\51 164.706
11\80 165.000
4\29 165.517 Porcupine/porky
5\36 166.667
6\43 167.442 Superpine
13\93 167.742
7\50 168.000
8\57 168.421 Superpine
1\7 171.429
7\48 175.000
6\41 175.610 Tetracot/bunya/monkey
11\75 176.000
5\34 176.471 Bunya/monkey/modus
9\61 177.049
4\27 177.778 Tetracot/modus
3\20 180.000
5\33 181.818
12\79 182.278 Minortone/mitonic
7\46 182.609 Minortone/mitonic
9\59 183.051
2\13 184.615
3\19 189.474 Deutone
10\63 190.476
7\44 190.909
11\69 191.304
4\25 192.000 Deutone/leantone/tutone
13\81 192.593
9\56 192.857 Leantone
14\87 193.103 Luna/hemithirds
47\292 193.151
33\205 193.171
52\323 193.189
19\118 193.220 Luna/hemithirds
24\149 193.289
5\31 193.548 Didacus/roulette/hemiwürschmidt
26\161 193.789
21\130 193.846
37\229 193.886
16\99 193.939 Didacus/hemiwürschmidt
11\68 194.118
6\37 194.595 Tutone/roulette
1\6 200.000 Frostburn
9\53 203.774
8\47 204.255 Baldy
15\88 204.545
7\41 204.878 Baldy
13\76 205.263
6\35 205.714
11\64 206.250
5\29 206.897
9\52 207.693
4\23 208.696 Frostburn
7\40 210.000
3\17 211.765 Machine
8\45 213.333
5\28 214.286
7\39 215.385
2\11 218.182 Machine
5\27 222.222
3\16 225.000 Gorgo/shoe
10\53 226.415
7\37 227.027 Gorgo/shoe
4\21 228.571
9\47 229.787
5\26 230.769 Cynder/mothra
11\57 231.579
6\31 232.258 Slendric
13\67 232.836
7\36 233.333 Cynder/mothra/rodan
15\77 233.766
8\41 234.146
25\128 234.375
17\87 234.483
26\133 234.586
9\46 234.783 Slendric/rodan
10\51 235.294
1\5 240.000 Bug/beep (start) …
8\39 246.154
7\34 247.059
13\63 247.619
6\29 248.276 Semaphore, bridgetown
17\82 248.780
11\53 249.057 Bridgetown
16\77 249.351
5\24 250.000 Semaphore/godzilla
14\67 250.746
9\43 251.163
13\62 251.613
4\19 252.632 Godzilla
7\33 254.545
3\14 257.143
11\51 258.824
8\37 259.460 Superpelog
13\60 260.000
5\23 260.870
12\55 261.818
7\32 262.500 Septimin/superpelog
16\73 263.014
9\41 263.415
29\132 263.636
20\91 263.736 Septimin
11\50 264.000
13\59 264.407
2\9 266.667
9\40 270.000
7\31 270.968 Orson/orwell/winston/blair
26\115 271.304
19\84 271.429
31\137 271.533
12\53 271.698
29\128 271.875
17\75 272.000
5\22 272.727 Orson/orwell/winston/blair
3\13 276.923 Lovecraft
7\30 280.000 Lovecraft/huxley
4\17 282.353 Huxley/subklei
9\38 284.211
5\21 285.714 Subklei
11\46 286.957
6\25 288.000
13\54 288.889
7\29 289.655
8\33 290.909
1\4 300.000 … bug/beep (end)

300-450¢

Generator Cents Comments
   1\4    300.000 … bug/beep (end)
11\43 306.977
10\39 307.692
19\74 308.108
9\35 308.571
17\66 309.091
8\31 309.677 Myna
31\120 310.000
23\89 310.112
38\147 310.204
15\58 310.345
37\143 310.490
22\85 310.588
29\112 310.714
7\27 311.111 Myna
6\23 313.043
11\42 314.286
16\61 314.754 Parakleismic
53\202 314.851
37\141 314.894
58\221 314.932
21\80 315.000
68\259 315.058
47\179 315.084
73\278 315.108
26\99 315.152
57\217 315.207
31\118 315.254
36\137 315.328
5\19 315.789 Parakleismic/Keemun (start) …/Hanson
29\110 316.364
24\91 316.484
43\163 316.564
19\72 316.667 Catakleismic
52\197 316.751
33\125 316.800
47\178 316.854
14\53 316.981 Catakleismic/darjeeling
37\140 317.143
23\87 317.241
32\121 317.355
9\34 317.647 Hanson
22\83 318.072
13\49 318.367
17\64 318.750
4\15 320.000 … keemun (end)/darjeeling/orgone
19\71 321.127
15\56 321.429
26\97 321.649
11\41 321.951 Superkleismic
29\108 322.222
18\67 322.388
25\93 322.581
7\26 323.077 Superkleismic
24\89 323.596
17\63 323.810
27\100 324.000
10\37 324.324
23\85 324.706
13\48 325.000
16\59 325.424
3\11 327.273 Dicot (start) …/orgone
11\40 330.000
8\29 331.034
13\47 331.915
5\18 333.333 Sixix
17\61 334.426
12\43 334.884
19\68 335.294
7\25 336.000 Hitchcock
23\82 336.585
16\57 336.842
25\89 337.079
9\32 337.500
29\103 337.864
20\71 338.028
31\110 338.182
11\39 338.462 Sixix
35\124 338.710
24\85 338.824
37\131 338.931
13\46 339.130 Amity
54\191 339.267
41\145 339.310
69\244 339.344
28\99 339.394
71\251 339.442
43\152 339.474
58\205 339.512
15\53 339.623 Amity
32\113 339.823
17\60 340.000
19\67 340.299
2\7 342.857 Hitchcock
13\45 346.667
11\38 347.368
20\69 347.826 Mohaha
29\100 348.000
9\31 348.387 Mohaha/mohajira
25\86 348.837
16\55 349.091
23\79 349.367
7\24 350.000 Mohajira/neutral
26\89 350.562
19\65 350.769
31\106 350.943
12\41 351.220 Neutral/hemififths
41\140 351.429
29\99 351.515 Hemif
46\157 351.592 Hemififths
17\58 351.724 Hemif
39\133 351.880
22\75 352.000
27\92 352.174
5\17 352.941 Suhajira/beatles/ringo
18\61 354.098
13\44 354.545 Suhajira
21\71 354.930
8\27 355.556 Ringo
27\91 356.044
19\64 356.250 Beatles
30\101 356.436
11\37 356.757 Huntington/silver
36\121 357.025
25\84 357.143 Huntington
39\131 357.252
14\47 357.447 Silver
31\104 357.692
17\57 357.895
20\67 358.209
3\10 360.000 dicot (end)
7\23 365.217
11\36 366.667
37\121 366.942 2/φ as a frequency ratio is around here
26\85 367.059
15\49 367.347
19\62 367.742
4\13 369.231
9\29 372.414
5\16 375.000 Magic (start)
21\67 376.119
16\51 376.471
27\86 376.744
11\35 377.143 Muggles
28\89 377.528
17\54 377.778
23\73 378.082
6\19 378.947 Muggles
25\79 379.747
19\60 380.000
32\101 380.198
13\41 380.488 Telepathy
33\104 380.769
20\63 380.952
27\85 381.176
7\22 381.818 Magic (end)/telepathy
8\25 384.000
9\28 385.714
10\31 387.097 Würschmidt
51\158 387.342
41\127 387.402
72\223 387.444
31\96 387.500
52\161 387.578
21\65 387.692
53\164 387.805
32\99 387.879
75\232 387.931
43\133 387.970
54\167 388.024
11\34 388.235 Würschmidt
12\37 389.189
13\40 390.000
14\43 390.698
1\3 400.000 Father (start) …
13\38 410.526
12\35 411.429
11\32 412.500
10\29 413.793 Roman
29\84 414.286
19\55 414.545
28\81 414.815
9\26 415.385 Roman
26\75 416.000
17\49 416.327 Sqrtphi
59\170 416.471
42\121 416.529
67\193 416.580
25\72 416.667 Sqrtphi
8\23 417.391
15\43 418.605
7\20 420.000 Bossier
27\77 420.779
20\57 421.053
33\94 421.277
13\37 421.622
32\91 421.978
19\54 422.222
25\71 422.535
6\17 423.529 Bossier
17\48 425.000 Squares/skwares
45\127 425.297
28\79 425.316
39\110 425.455
11\31 425.806 Squares/skwares
5\14 428.571
14\39 430.769
9\25 432.000
4\11 436.364
15\41 439.024
11\30 440.000
29\79 440.506
18\49 440.816 Clyde
43\117 441.026
25\68 441.176
57\155 441.290
32\87 441.379
39\106 441.509
7\19 442.105 Sensi/clyde
31\84 442.857
24\65 443.077
41\111 443.243
17\46 443.478
44\119 443.697
27\73 443.836 Sensis
37\100 444.000
10\27 444.444 Sensi/sensis
13\35 445.714
16\43 446.512
3\8 450.000

450-600¢

Generator Cents Comments
3\8 450.000
23\61 452.459
20\53 452.830
17\45 453.333 Semidim
48\127 453.543
31\82 453.659
45\119 453.782
14\37 454.050 Semidim/tridec/ammonite
53\140 454.286
39\103 454.369
64\169 454.438 Ammonite
25\66 454.545
36\95 454.737
11\29 455.172 Tridec
19\50 456.000
8\21 457.143
21\55 458.182
13\34 458.824
18\47 459.574
23\60 460.000
5\13 461.538 A-team
22\57 463.158
17\44 463.636
29\75 464.000
12\31 464.516 Semisept
31\80 465.000 Semisept
19\49 465.306
26\67 465.672
7\18 466.667 A-team
16\41 468.293
9\23 469.565
20\51 470.588
11\28 471.429
24\61 472.131
13\33 472.727 Buzzard
28\71 473.239
15\38 473.684
32\81 474.074
17\43 474.419
36\91 474.725
19\48 475.000
40\101 475.248
21\53 475.472 Vulture
65\164 475.610 Vulture
44\111 475.676
23\58 475.862 Buzzard
48\121 476.033
25\63 476.190
27\68 476.471
2\5 480.000 … father (end)
17\42 485.714
15\37 486.486 Ultrapyth
28\69 486.957
13\32 487.500 Ultrapyth
24\59 488.136
11\27 488.889 Superpyth
31\76 489.474
20\49 489.796
29\71 490.141
9\22 490.909 Superpyth/suprapyth
27\61 491.803 Suprapyth/quasisupra
16\39 492.308 Quasisupra/supra
23\56 492.857
7\17 494.118 Supra/leapfrog
26\63 495.238
19\46 495.652 Leapfrog/leapday
50\121 495.868
31\75 496.000
43\104 496.154
12\29 496.552 Leapday/garibaldi/cassandra/dominant
29\70 497.143
46\111 497.297 Andromeda
17\41 497.561 Andromeda
56\135 497.778
39\94 497.872 Helmholtz/cassandra
61\147 497.959 Pythagorean
22\53 498.113 Pythagorean/garibaldi
27\65 498.462
5\12 500.000 Meantone/dominant
23\55 501.818
18\43 502.326 Grosstone
49\117 502.564
31\74 502.703 Grosstone
44\105 502.857 Huygens
13\31 503.226 Huygens/meanpop/meanenneadecal
47\112 503.571
34\81 503.704
55\131 503.817
21\50 504.000 Meanpop
29\69 504.348
8\19 505.263 Flattone/meanenneadecal
27\64 506.250
19\45 506.667
30\71 507.042
11\26 507.692 Meantone/flattone/flattertone
14\33 509.091 Flattertone/dreamtone
17\40 510.000 Dreamtone
3\7 514.286
31\72 516.666 Marvo/gravity
28\65 516.923 Marvo/gravity
25\58 517.241
22\51 517.647
19\44 518.182
16\37 518.919
13\30 520.000
10\23 521.739 Mavila
7\16 525.000 Pelogic
18\41 526.829 Mabila
11\25 528.000 Mavila/mabila
4\9 533.333 Pelogic
13\29 537.931 Avila
9\20 540.000 Score/avila
14\31 541.935 Casablanca
33\73 542.466 Casablanca
19\42 542.857
5\11 545.454 Score
26\57 547.368 Heinz
47\103 547.573
21\46 547.826 Heinz
16\35 548.571
11\24 550.000
6\13 553.846 Thuja
19\41 556.098
13\28 557.143
7\15 560.000 Thuja/progress
8\17 564.706 Progress
25\53 566.038
17\36 566.667 Liese
9\19 568.421 Liese/triton
19\40 570.000
10\21 571.429 Triton
11\23 573.913
12\25 576.000
13\27 577.778
14\29 579.310 Tritonic
29\60 580.000
15\31 580.645 Tritonic
16\33 581.812
   1\2    600.000