editing disabled

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.
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.

Generator
Cents
Comments
0\1




0

1\18




66.667

1\17




70.588


2\33



72.727

1\16




75


3\47



76.596


2\31



77.419
Valentine/Lupercalia

3\46



78.261
Valentine
1\15




80


3\44



81.818


2\29



82.759
Nautilus


5\72


83.333


3\43



83.721


4\57



84.2105

1\14




85.714


4\55



87.364


3\41



87.805
Octacot


5\68


88.235


2\27



88.889
Octacot

3\40



90

1\13




92.308


3\38



94.737


2\25



96
Passion


5\62


96.774


3\37



97.297
Passion

4\49



97.959

1\12




100
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

3\34



105.882

1\11




109.091


3\32



112.5


2\21



114.286



5\52


115.385


3\31



116.129
Miracle


10\103


116.505



7\72


116.667



11\113


116.814


4\41



117.073
Miracle

5\51



117.647

1\10




120


4\39



123.077


3\29



124.138
Negri/Negril


8\77


124.675



5\48


125



7\67


125.373


2\19



126.316
Negri


5\47


127.66


3\28



128.571



7\65


129.231


4\37



129.73
Twothirdtonic


9\83


130.1205


5\46



130.435
Twothirdtonic

6\55



130.901

1\9




133.333


7\62



135.484
Doublethink

6\53



135.849



11\97


136.0825


5\44



136.364
Doublethink


9\79


136.709


4\35



137.143



7\61


137.705


3\26



138.462



8\69


139.13.



5\43


139.535
Bleu/progression



12\103

139.806



7\60


140
Bleu


9\77


140.26


2\17



141.176
Blue/progression


5\42


142.857


3\25



144



7\58


144.828


4\33



145.455



9\74


145.946


5\41



146.341
Indium/bohpier


11\90


146.667


6\49



146.939



19\155


147.097



13\106


147.17



20\163


147.239


7\57



147.368
Indium

8\65



147.692

1\8




150


5\39



153.846


4\31



154.839
Nusecond


11\85


155.294



7\54


155.556




17\131

155.725



10\77


155.844
Greeley



23\177

155.932



13\100


156



16\123


156.098


3\23



156.522
Greeley


5\38


157.895


2\15



160
Porcupine


9\67


161.194



7\52


161.538




12\89

161.798



5\37


162.162




13\96

162.5



8\59


162.712




27\199

162.814




19\140

162.857




30\221

162.896



11\81


162.963




14\103

163.107


3\22



163.636



10\73


164.384



7\51


164.706



11\80


165


4\29



165.517
Porcupine


9\65


166.154


5\36



166.667



11\79


167.089


6\43



167.442
Meantone w/ 4/3 generator split in 3


13\93


167.742


7\50



168


8\57



168.421
Meantone w/ 4/3 generator split in 3
1\7




171.429


8\55



174.5455


7\48



175



13\89


175.281


6\41



175.61
Tetracot/Bunya/Monkey


11\75


176


5\34



176.471



9\61


177.049


4\27



177.778
Tetracot


7\47


178.723


3\20



180



8\53


181.132



5\33


181.818




12\79

182.2785



7\46


182.609
Mitonic/Minortone


9\59


183.051


2\13



184.615



5\32


187.5


3\19



189.474
Deutone


10\63


190.476



7\44


190.909



11\69


191.304


4\25



192
Deutone/Leantone/Tutone


13\81


192.593



9\56


192.857
Leantone



23\143

193.007



14\87


193.103
Luna/Hemithirds



47\292

193.151




33\205

193.171




52\323

193.189



19\118


193.22
Luna/Hemithirds


24\149


193.289


5\31



193.548
Hemiwuerschmidt/Roulette


26\161


193.789



21\130


193.846




37\229

193.8865



16\99


193.939
Hemiwuerschmidt



27\167

194.012



11\68


194.118



17\105


194.286


6\37



194.595
Tutone/Roulette

7\43



195.349

1\6




200


9\53



203.774


8\47



204.255
Baldy


15\88


204.5455


7\41



204.878
Baldy


13\76


205.263


6\35



205.714



11\64


206.25


5\29



206.897



9\52


207.693


4\23



208.696



7\40


210


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
Gorgo/Shoe


10\53


226.415



7\37


227.027
Gorgo/Shoe


11\58


227.586


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


234.5865


9\46



234.783
Slendric/rodan

10\51



235.294

1\5




240
Bug/beep (start)...

8\39



246.154


7\34



247.059



13\63


247.619


6\29



248.276
Semaphore, bridgetown


17\82


248.7805



11\53


249.057
bridgetown


16\77


249.351


5\24



250
Semaphore/godzilla


14\67


250.746



9\43


251.163



13\62


251.613


4\19



252.632
Godzilla


7\33


254.5455


3\14



257.143



11\51


258.8235



8\37


259.46
Superpelog



13\60

260



5\23


260.87




12\55

261.818



7\32


262.5
Septimin/superpelog



16\73

263.014



9\41


263.415




29\132

263.636




20\91

263.736
Septimin



31\141

263.83



11\50


264



13\59


264.407


2\9



266.667



9\40


270



7\31


270.968
Orson/orwell/winston



26\115

271.304




19\84

271.429





31\137
271.533




12\53

271.698




17\75

272



5\22


272.727
Orson/orwell/blair



13\57

273.684



8\35


274.286



11\48


275


3\13



276.923
Lovecraft


7\30


280


4\17



282.353
Huxley


9\38


284.2105


5\21



285.714



11\46


286.4565


6\25



288



13\54


288.889


7\29



289.655


8\33



290.909

1\4




300
...Bug/beep (end)

11\43



306.977


10\39



307.692



19\74


308.108


9\35



308.571



26\101


308.911



17\66


309.091



25\97


309.278


8\31



309.677
Myna


31\120


310



23\89


310.112




38\147

310.204



15\58


310.345




37\143

310.4895



22\85


310.588



29\112


310.714


7\27



311.111
Myna


20\77


311.688



13\50


312



19\73


312.329


6\23



313.043



23\88


313.636



17\65


313.846




28\107

314.019



11\42


314.286




38\145

314.483




27\103

314.563




43\164

314.634



16\61


314.754




53\202

314.8515




37\141

314.894




58\221

314.932



21\80


315




68\259

315.058




47\179

315.084




73\278

315.108



26\99


315.152
Parakleismic



57\217

315.207



31\118


315.254



36\137


315.3285


5\19



315.789
Keemun (start)...


29\110


316.364



24\91


316.4835




43\163

316.564



19\72


316.667
Hanson/Catakleismic



52\197

316.751




33\125

316.8




47\178

316.854



14\53


316.981
catakleismic



37\140

317.143




23\87

317.241




32\121

317.355



9\34


317.647




22\83

318.072



13\49


318.367



17\64


318.75


4\15



320
...Keemun (end)/Orgone


19\71


321.127



15\56


321.429




26\97

321.6495



11\41


321.951
Superkleismic



29\108

322.222




18\67

322.388




25\93

322.581



7\26


323.077
Superkleismic



38\141

323.404




31\115

323.478





55\204
323.529




24\89

323.596





65\241
323.6515





41\152
323.684





58\215
323.721




17\63

323.81





44\163
323.926




27\100

324




37\137

324.088



10\37


324.324




23\85

324.706



13\48


325



16\59


325.424


3\11



327.273
Dicot (start).../Orgone


11\40


330



8\29


331.0345




13\47

331.915



5\18


333.333




17\61

334.426




12\43

334.884




19\68

335.294



7\25


336




23\82

336.585




16\57

336.842




25\89

337.079



9\32


337.5
Sixix



29\103

337.864




20\71

338.028




31\110

338.182



11\39


338.462




35\124

338.71




24\85

338.8235




37\131

338.931



13\46


339.13
Amity/Hitchcock



54\191

339.267




41\145

339.31





69/244
339.344




28\99

339.394





99\350
339.429





71\251
339.442





114\403
339.454




43\152

339.474





101\357
339.496




58\205

339.512




73\258

339.535



15\53


339.623
Amity



32\113

339.823



17\60


340



19\67


340.2985


2\7



342.857



13\45


346.667



11\38


347.368




20\69

347.826



9\31


348.387
Mohajira (meantone-style neutral thirds)



25\86

348.837




16\55

349.091




23\79

349.367



7\24


350
Neutral thirds



26\89

350.562




19\65

350.769





31\106
350.943




12\41

351.22
No-5's neutral thirds / hemififths




41\140
351.429





29\99
351.515





46\157
351.592
hemififths



17\58

351.724





39\133
351.88




22\75

352




27\92

352.174



5\17


352.941
No-5's neutral thirds/Beatles



18\61

354.098




13\44

354.5455




21\71

354.930



8\27


355.556




27\91

356.044




19\64

356.25
Beatles



30\101

356.436



11\37


356.757
Huntington/Silver



36\121

357.025




25\84

357.143




39\131

357.252



14\47


357.447
Silver



31\104

357.692



17\57


357.895



20\67


358.209


3\10



360
...Dicot (end)


13\43


362.791



10\33


363.636




17\56

364.286



7\23


365.217




25\82

365.854




18\59

366.102




29\95

366.316



11\36


366.667




48\157

366.879




37\121

366.942
2/phi as a frequency ratio is around here




63\206
366.99




26\85

367.059





67\219
367.123




41\134

367.164




56\183

367.213



15\49


367.347




34\111

367.568



19\62


367.742



23\75


368


4\13



369.231



13\42


371.429



9\29


372.414



14\45


373.333


5\16



375
Magic


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




32\101

380.198



13\41


380.488




33\104

380.769



20\63


380.952



27\85


381.1765


7\22



381.818
Magic


22\69


382.609



15\47


382.979



23\72


383.333


8\25



384



25\78


384.615



17\53


384.906



26\81


385.185


9\28



385.714



28\87


386.207



19\59


386.441



29\90


386.667


10\31



387.097
Würschmidt


51\158


387.342



41\127


387.402




72\223

387.444



31\96


387.5




83\257

387.549




52\161

387.578




73\226

387.611



21\65


387.692




74\229

387.773




53\164

387.805




85\263

387.833



32\99


387.879




75\232

387.931



43\133


387.97



54\167


388.024


11\34



388.235
Würschmidt


34\105


388.571



23\71


388.732



35\108


388.889


12\37



389.189



25\77


389.61


13\40



390


14\43



390.698

1\3




400
Father (start)...

13\38



410.526


12\35



411.429



23\67


411.94


11\32



412.5



32\93


412.903



21\61


413.115



31\90


413.333


10\29



413.793
Roman


29\84


414.286



19\55


414.5455



28\81


414.815


9\26



415.385



35\101


415.842



26\75


416




43\124

416.129



17\49


416.327
Sqrtphi



59\170

416.471




42\121

416.529




67\193

416.58



25\72


416.667
Sqrtphi



58\167

416.7665



33\95


416.842



41\118


416.949


8\23



417.391



23\66


418.181



15\43


418.605



22\63


419.048


7\20



420



27\77


420.779



20\57


421.053




33\94

421.277



13\37


421.622
Bossier



32\91

421.978



19\54


422.222



25\71


422.535


6\17



423.529



29\82


424.39



23\65


424.615




40\113

424.779



17\48


425
Squares



45\127

425.297



28\79


425.3165




39\110

425.4545



11\31


425.806
Squares



27\76

426.316



16\45


426.667



21\59


427.119


5\14



428.571



19\53


430.189



14\39


430.769




23\64

431.25



9\25


432




22\61

432.787



13\36


433.333



17\47


434.043


4\11



436.364



19\52


438.4615



15\41


439.024




26\71

439.437



11\30


440




40\109

440.367




29\79

440.506





47\128
440.625




18\49

440.816
Clyde




61\166
440.964





43\117
441.026






441.081




25\68

441.176





68\185
441.29




32\87

441.379




39\106

441.509



7\19

57\155
442.105
Sensi/Clyde



31\84

442.857




24\65

443.077





41\111
443.243




17\46

443.478





44\119
443.6975




27\73

443.836




37\100

444



10\27


444.444
Sensi



33\89

444.944




23\62

445.161




36\97

445.361



13\35


445.714




29\78

446.154



16\43


446.512



19\51


447.059


3\8



450



23\61


452.459



20\53


452.83




37\98

453.061



17\45


453.333
Semidim



48\127

453.543




31\82

453.6585




45\119

453.7815



14\37


454.05
Tridec/Semidim/Ammonite



53\140

454.286




39\103

454.369





64\169
454.438
Ammonite



25\66

454.545





61\161
454.658




36\95

454.737




47\124

454.839



11\29


455.172
Tridec



30\79

455.696




19\50

456




27\71

456.338



8\21


457.143




29\76

457.895




21\55

458.182





34\89
458.427




13\34

458.824





31\81
459.259




18\47

459.5745




23\60

460



5\13


461.538
A-team



22\57

463.158




17\44

463.636





29\75
464




12\31

464.516
Semisept




31\80
465




19\49

465.306




26\67

465.672



7\18


466.667
A-team



23\59

467.797




16\41

468.293




25\64

468.75



9\23


469.565




29\74

470.27




20\51

470.588




31\79

470.886



11\28


471.429




35\89

471.91




24\61

472.131




37\94

472.34



13\33


472.727




41\104

473.077




28\71

473.239




43\109

473.3945



15\38


473.684




47\119

473.95




32\81

474.074




49\124

474,1935



17\43


474.419




53\134

474.627




36\91

474.725




55\139

474.82



19\48


475
Vulture



59\149

475.168




40\101

475.2475




61\154

475.325



21\53


475.472
Vulture/Buzzard



65\164

475.61




44\111

475.676




67\169

475.74



23\58


475.862




48\121

476.033



25\63


476.1905



27\68


476;471


2\5



480
...Father (end)


17\42


485.714



15\37


486.486
Ultrapyth



28\69

486.9565



13\32


487.5
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



25\61

491.803




16\39

492.308
Supra



23\56

492.857



7\17


494.118




26\63

495.238




19\46

495.652
Leapday




50\121
495.868





31\75
496





43\104
496.154




12\29

496.552
Garibaldi/cassandra/leapday




29\70
497.143




17\41

497.561





56\135
497.778





39\94
497.872
Helmholtz/cassandra




61\147
497.959




22\53

498.113
Pythagorean/helmholtz/garibaldi



27\65

498.4615



5\12


500
Meantone/dominant



23\55

501.818




18\43

502.326
grosstone




49\117
502.564





31\74
502.703
grosstone




44\105
502.857




13\31

503.226
huygens/meanpop




47\112
503.571





34\81
503.704





55\131
503;817




21\50

504
meanpop



29\69

504.348



8\19


505.263
flattone/meanenneadecal



27\64

506.25




19\45

506.667




30\71

507.042



11\26


507.692
Meantone/flattone


14\33


509.091


3\7



514.286



31\72


516.666
Marvo/gravity


28\65


516.923
Gravity


25\58


517.241



22\51


517.647



19\44


518.182



16\37


518.919



13\30


520



10\23


521.739
Mavila


7\16


525



11\25


528
Mavila/Mabila

4\9



533.333
Pelogic


13\29


537.931
Avila


9\20


540
Score/Avila


14\31


541.935
Casablanca



33\73

542.466
Casablanca


19\42


542.857


5\11



545.4545



26\57


547.368
Heinz



47\103

547.573



21\46


547.826
Heinz


16\35


548.571



11\24


550


6\13



553.846
Thuja


19\41


556.098



13\28


557.143


7\15



560
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


10\21



571.429
Triton

11\23



573.913


12\25



576


13\27



577.778


14\29



579.31
Tritonic


29\60


580


15\31



580.645
Tritonic

16\33



581.812

1\2




600