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Known Temperaments

🔗Graham Breed <gbreed@gmail.com>

9/27/2011 5:37:17 AM

I've gone through some of my top 20s and listed how far
down the names go. I may not have been consistent about
where I decided to stop. The results are below. You may
find it interesting to see what regions have the highest
density of names, or compare different rankings at a glance.

Along the way I promoted some mappings to a higher limit:
Unicorn to the 7-limit; Semisept, Würschmidt, Octacot,
August, Blacksmith, Octarod to the 11-limit; Varuna and
Injera to the 13-limit. Octacot and August happened to
already be in the 13-limit, but missed the 11-limit.

You may notice some listings of Supermagic+. The one in
the 8 cent list is different to the others.

5-limit

1 cent: Helmholtz, Hanson, Amity, Sensi, Srutal,
Würschmidt, Meantone, Orson, Gravity, Parakleismic

2 cents: Meantone, Hanson, Srutal, Helmholtz, Sensi,
Magic, Amity, Tetracot, Würschmidt, Orson,
Augmented, Compton, Semaphore, Injera, Vicentino,
Valentine, Gravity, Porcupine, Misty

3 cents: Meantone, Srutal, Hanson, Helmholtz, Magic,
Augmented, Tetracot, Sensi, Porcupine, Semaphore,
Injera, Vicentino, Amity, Würschmidt, Orson,
Negri, Compton, Valentine, Diminished, Unicorn,
Dicot

4 cents: Meantone, Srutal, Augmented, Hanson, Magic,
Porcupine, Helmholtz, Tetracot, Semaphore,
Vicentino, Injera, Sensi, Diminished, Dicot, Negri,
Amity, Würschmidt, Orson, Compton, Valentine,
Superpyth

5 cents: Meantone, Srutal, Augmented, Porcupine, Hanson,
Magic, Tetracot, Semaphore, Injera, Vicentino,
Helmholtz, Dicot, Diminished, Sensi, Negri,
Amity, Würschmidt, Mavila, Superpyth, Blackwood,
Orson, Valentine, Compton, Passion, Ripple

6 cents: Meantone, Augmented, Srutal, Porcupine, Magic,
Dicot, Hanson, Diminished, Vicentino, Semaphore,
Injera, Tetracot, Helmholtz, Negri, Sensi,
Mavila, Blackwood, Superpyth, Amity, Würschmidt,
Father, Ripple, Passion, Valentine

7 cents: Meantone, Augmented, Srutal, Porcupine, Dicot,
Magic, Diminished, Hanson, Semaphore, Vicentino,
Injera, Tetracot, Mavila, Helmholtz, Negri,
Blackwood, Sensi, Father, Superpyth, Ripple,
Passion

8 cents: Meantone, Augmented, Dicot, Porcupine, Srutal,
Diminished, Magic, Hanson, Semaphore, Vicentino,
Injera, Mavila, Tetracot, Blackwood, Father,
Negri, Helmholtz, Sensi, Superpyth, Ripple,
Bug

9 cents: Meantone, Augmented, Dicot, Porcupine, Srutal,
Diminished, Magic, Mavila, Semaphore, Injera,
Vicentino, Hanson, Father, Blackwood, Tetracot,
Negri, Helmholtz, Bug, Ripple, Superpyth,
Sensi

10 cents: Meantone, Dicot, Augmented, Porcupine, Srutal,
Diminished, Mavila, Father, Magic, Blackwood,
Semaphore, Vicentino, Injera, Hanson, Tetracot,
Negri, Bug, Helmholtz, Ripple, Superpyth,
Sensi

7-limit

Rank 2

1 cent: Miracle, Ennealimmal, Hemiwürschmidt, Catakleismic,
Hemififths, Amity, Orwell, Garibaldi, Meantone,
Parakleismic, Magic, Harry, Waage, Misty, Unidec,
Sesquiquartififths, Tertiaseptal, Myna,
Quadritikleismic, Hendecatonic, Wizard, Pontiac, Valentine,
Hemithirds, Octacot, Rodan, Guiron, Hemischis, Octoid, Sensi

2 cents: Meantone, Miracle, Magic, Orwell, Garibaldi,
Catakleismic, Myna, Sensi, Valentine, Octacot,
Hemiwürschmidt, Rodan, Hemififths, Waage, Pajara,
Diaschismic, Amity, Unicorn+, Quartonic, Augene,
Ennealimmal, Wizard, Parakleismic, Cynder, Clyde,
Tritonic, Shrutar, Buzzard, Superpyth, Unidec

3 cents: Meantone, Magic, Miracle, Orwell, Garibaldi,
Sensi, Myna, Pajara, Catakleismic, Valentine,
Augene, Octacot, Negri, Diaschismic, Superpyth,
Cynder, Keemun, Semaphore, Rodan, Unicorn,
Quartonic, Waage, Squares, Flattone, Superkleismic,
Dominant, Shrutar, Tritonic, Hemiwürschmidt, Clyde

4 cents: Meantone, Magic, Pajara, Orwell, Sensi,
Miracle, Garibaldi, Augene, Myna, Negri,
Keemun, Semaphore, Superpyth, Valentine,
Catakleismic, Cynder, Dominant, Octacot, Diaschismic,
Injera, Flattone, Diminished, Rodan, Squares, Unicorn,
August, Porcupine, Superkleismic, Doublewide,
Nusecond

5 cents: Meantone, Magic, Pajara, Augene, Sensi,
Negri, Orwell, Keemun, Semaphore, Garibaldi,
Dominant, Miracle, Superpyth, Myna, Diminished,
Injera, Cynder, Flattone, Valentine, August,
Catakleismic, Blacksmith, Porcupine, Diaschismic,
Octacot, Doublewide, Beatles, Squares, Liese, Hedgehog

6 cents: Meantone, Pajara, Magic, Augene, Negri,
Dominant, Semaphore, Keemun, Sensi, Diminished,
Superpyth, Orwell, Injera, August, Garibaldi,
Myna, Miracle, Blacksmith, Flattone, Cynder,
Porcupine, Doublewide, Valentine, Hedgehog, Decimal,
Beatles, Liese, Diaschismic, Beep, Catakleismic

7 cents: Meantone, Pajara, Augene, Dominant, Magic,
Negri, Semaphore, Keemun, Diminished, Sensi,
Injera, August, Superpyth, Blacksmith, Orwell,
Flattone, Garibaldi, Myna, Decimal, Porcupine,
Miracle, Beep, Cynder, Doublewide, Hedgehog,
Beatles, Liese, Catler, Valentine, Sharp

8 cents: Meantone, Pajara, Dominant, Augene, Diminished,
Negri, Semaphore, Keemun, Magic, August,
Blacksmith, Injera, Sensi, Superpyth, Decimal,
Beep, Flattone, Porcupine, Orwell, Doublewide,
Hedgehog, Myna, Garibaldi, Father, Sharp,
Cynder, Beatles, Miracle, Liese, Opossum

9 cents: Meantone, Pajara, Dominant, Diminished, Augene,
Semaphore, Negri, Keemun, August, Blacksmith,
Injera, Magic, Beep, Decimal, Sensi,
Superpyth, Father, Sharp, Flattone, Porcupine,
Hedgehog, Doublewide, Orwell, Opossum, Dicot,
Octokaidecal, Beatles, Sharptone, Myna, Liese

10 cents: Meantone, Pajara, Dominant, Diminished, August,
Augene, Semaphore, Blacksmith, Negri, Keemun,
Injera, Beep, Decimal, Magic, Father,
Superpyth, Sharp, Sensi, Dicot, Porcupine,
Flattone, Sharptone, Opossum, Octokaidecal,
Hedgehog, Doublewide, Dicot+, Jamesbond, Beatles, Dicot+

Rank 3

1 cent: Breed, Marvel, Ragismic, Hemiwuermity, Hemifamity,
Parahemwuer, Parahemfi, Gamelan, Landscape,
Cataharry, Helmholtz+, Mirkwai

2 cents: Marvel, Starling, Breed, Octarod, Gamelan,
Hemiwuermity, Ragismic, Orwellian, Hemifamity,
Parahemwuer, Octagari, Parahemfi, Meantone+, Cataharry,
Hanson+, Mirkwai, Supermagic, Srutal+, Landscape

3 cents: Marvel, Starling, Octarod, Meantone+, Orwellian,
Breed, Octagari, Gamelan, Supermagic, Hemiwuermity,
Parahemwuer, Hemifamity

4 cents: Marvel, Starling, Meantone+, Octarod

11-Limit

Rank 2

1 cent: Miracle, Unidec, Harry, Octoid, Wizard,
Hemithirds, Tritikleismic, Ennealimmic,
Hemiwürschmidt, Grendel, Myna, Catakleismic, Orwell,
Compton, Valentine, Mirkat, Quadritikleismic, Semisept,
Sqrtphi, Hemififths, Rodan, Guiron, Hemiennealimmal, Kwai,
Slender

2 cents: Miracle, Orwell, Myna, Valentine, Wizard,
Meantone, Harry, Unidec, Hemithirds, Semisept,
Magic, Rodan, Compton, Tritikleismic, Hemififths,
Ennealimmic, Meanpop, Catakleismic, Tritonic,
Hemiwürschmidt, Diaschismic, Squares, Slender, Echidna,
Würschmidt, Octoid, Cassandra, Octacot, Garibaldi, Shrutar

3 cents: Miracle, Orwell, Valentine, Myna, Meantone,
Magic, Meanpop, Squares, Tritonic, Cassandra,
Octacot, Würschmidt, Pajara, Wizard, Rodan,
Diaschismic, Semisept, Augene, Superkleismic,
Migration, Mothra, Nusecond, Shrutar, Hemififths, Mohajira,
Superpyth, Echidna, Porcupine, Hemithirds, Compton

4 cents: Orwell, Miracle, Meantone, Valentine, Myna,
Magic, Squares, Meanpop, Pajara, Augene,
Cassandra, Octacot, Porcupine, Tritonic, Würschmidt,
Superpyth, Migration, Nusecond, Mothra,
Superkleismic, Mohajira, Shrutar, Hedgehog, Diaschismic,
Rodan, Meanenneadecal, Sensus, Semisept, Porky, Injera

5 cents: Orwell, Meantone, Valentine, Miracle, Augene,
Pajara, Myna, Magic, Squares, Porcupine,
Meanpop, Cassandra, Hedgehog, Superpyth, Octacot,
Migration, Nusecond, Meanenneadecal, Mothra,
Mohajira, Würschmidt, Superkleismic, Injera, Tritonic,
Porky, Telepathy, Nautilus, Shrutar, August, Sensis

6 cents: Orwell, Meantone, Augene, Pajara, Valentine,
Porcupine, Squares, Magic, Miracle, Myna,
Hedgehog, Meanpop, Meanenneadecal, Injera,
Superpyth, Cassandra, August, Octacot, Nautilus, Porky,
Telepathy, Migration, Nusecond, Mohajira, Mothra,
Opossum, Superkleismic, Würschmidt, Sensis, Keemun

7 cents: Meantone, Orwell, Augene, Pajara, Porcupine,
Valentine, Meanenneadecal, Hedgehog, Injera,
Squares, Magic, August, Myna, Meanpop, Superpyth,
Nautilus, Opossum, Miracle, Telepathy, Porky,
Diminished, Dominant, Cassandra, Triforce,
Dominant+, Keemun, Pajaric, Pajarous, Sensis, Blacksmith

8 cents: Augene, Meantone, Pajara, Orwell, Porcupine,
Meanenneadecal, Hedgehog, August, Injera, Valentine,
Opossum, Diminished, Squares, Nautilus, Dominant+,
Dominant, Magic, Triforce, Pajaric, Telepathy,
Blacksmith, Superpyth, Keemun, Porky, Negri,
Darjeeling, Meanpop, Pajarous, Septimal, Sensis

9 cents: Augene, Pajara, Meanenneadecal, Meantone,
Porcupine, August, Orwell, Injera, Hedgehog, Opossum,
Diminished, Dominant+, Dominant, Pajaric, Nautilus,
Blacksmith, Triforce, Septimal, Valentine, Negri,
Keemun, Telepathy, Squares, Darjeeling, Porky,
Pajarous

10 cents: Augene, Meanenneadecal, August, Pajara, Porcupine,
Injera, Opossum, Meantone, Hedgehog, Diminished,
Dominant+, Orwell, Dominant, Pajaric, Blacksmith,
Septimal, Triforce, Nautilus, Negri, Keemun,
Darjeeling

Rank 3

1 cent: Portent, Jove, Indra, Marvel, Hades,
Varuna, Prodigy, Thor, Agni

2 cents: Marvel, Jove, Portent, Prodigy, Indra,
Thrush, Guanyin, Zeus, Spectacle, Varuna,
Minerva, Hades, Agni

3 cents: Marvel, Jove, Portent, Thrush, Prodigy,
Zeus, Guanyin, Minerva, Spectacle, Indra,
Big Brother, Aphrodite, Artemis, Apollo, Octagari,
Aplonis, Octarod, Erato, Pele

4 cents: Marvel, Thrush, Minerva, Zeus, Prodigy,
Jove, Portent, Guanyin, Big Brother, Apollo,
Octagari, Erato, Euterpe, Aphrodite, Ares,
Octarod, Artemis, Spectacle, Aplonis

5 cents: Minerva, Thrush, Marvel, Zeus, Prodigy,
Big Brother, Ares, Guanyin, Jove, Apollo,
Portent, Octagari, Euterpe, Erato, Octarod,
Aphrodite, Artemis, Supermagic+, Thrasher, Sonic,
Jubilee, Aplonis

6 cents: Minerva, Thrush, Zeus, Marvel, Ares,
Big Brother, Euterpe, Apollo, Octagari, Erato,
Prodigy, Thrasher, Guanyin, Octarod, Sonic,
Jove, Jubilee, Portent, Supermagic+, Aphrodite,
Artemis, Augmented++, Vulcan, Clio

7 cents: Minerva, Thrush, Ares, Zeus, Thrasher,
Big Brother, Marvel, Euterpe, Sonic, Apollo,
Octagari, Jubilee, Erato, Octarod, Prodigy,
Vulcan, Guanyin, Augmented++, Supermagic+, Calliope,
Jove, Aphrodite, Artemis, Potassium, Portent,
Clio, Starling+, Orwellian+

8 cents: Minerva, Ares, Thrasher, Thrush, Sonic,
Zeus, Jubilee, Euterpe, Big Brother, Octagari,
Apollo, Erato, Marvel, Vulcan, Calliope,
Augmented++, Potassium, Octarod, Supermagic+

9 cents: Ares, Minerva, Thrasher, Sonic, Thrush,
Jubilee, Potassium, Calliope, Vulcan, Euterpe,
Zeus, Big Brother, Augmented++, Octagari, Apollo

10 cents: Thrasher, Ares, Minerva, Sonic, Potassium,
Calliope, Jubilee, Vulcan

13-Limit

Rank 2

1 cent: Harry, Tritikleismic, Benediction, Catakleismic,
Manna, Hendec, Octoid, Mirkat, Mystery, Quadritikleismic,
Buzzard, Rodan, Sqrtphi, Countercata

2 cents: Harry, Benediction, Myna, Catakleismic, Hendec,
Tritikleismic, Rodan, Diaschismic, Hemififths,
Buzzard, Mystery, Miraculous, Orwell, Garibaldi,
Ennealimmic+, Valentino

3 cents: Myna, Miraculous, Diaschismic, Orwell, Meantone,
Catakleismic, Hemififths, Manna, Benediction,
Valentino, Sensus, Rodan, Harry, Hendec, Cassandra,
Meanpop, Winston, Superkleismic, Magic,
Catakleismic++, Garibaldi, Buzzard, Hitchcock, Tritonic+

4 cents: Meantone, Myna, Miraculous, Winston, Orwell,
Cassandra, Sensus, Meanpop, Superkleismic, Magic,
Diaschismic, Sensis, Lupercalia, Valentino, Negri,
Hemififths, Catakleismic++, Tritonic+, Pajara

5 cents: Meantone, Miraculous, Winston, Sensis, Myna,
Negri, Cassandra, Lupercalia, Meanpop, Sensus,
Superkleismic, Magic, Orwell, Negri++, Pajara,
Triforce, Nautilus

6 cents: Meantone, Negri, Winston, Sensis, Miraculous,
Lupercalia, Negri++, Progression, Triforce,
Cassandra, Negric, Injera, Pajara, Meanpop, August,
Meanenneadecal, Nautilus, Darjeeling+

7 cents: Meantone, Negri, Sensis, Winston, Progression,
Triforce, August, Negric, Negri++, Meanenneadecal,
Injera, Augene, Opossum, Porcupine+, Darjeeling+,
Lupercalia, Hedgehog+, Nautilus

8 cents: Negri, Meantone, Progression, Sensis, August,
Triforce, Negric, Opossum, Winston, Augene,
Dominant++, Meanenneadecal

9 cents: Negri, Progression, August, Meantone, Triforce,
Opossum, Negric, Dominant++, Sensis, Augene

10 cents: Negri, Progression, August, Dominant++, Opossum,
Negric, Triforce, Diminished++, Armodue++, Meantone,
Augene

Rank 3

1 cent: History, Jovis, Madagascar, Hades, Jovial,
Greenland, Varuna, Portentous, Portending

2 cents: Jovis, Portending, History, Marvel, Varuna,
Pele, Madagascar, Thrush, Jovial, Hecate

3 cents: Thrush, Jofur, Pele, Prodigy, Marvel,
Tripod, Jovis, Portending, Guanyin, Aplonis,
Athene, Hecate, Isis, Miracle+, Varuna,
Avalokitesvara, Momentous, Bluebird

4 cents: Thrush, Prodigy, Tripod, Jofur, Athene,
Aplonis, Foreboding, Pele, Erato, Minerva,
Avalokitesvara, Bluebird, Guanyin, Octagari, Orwell+

5 cents: Prodigy, Tripod, Thrush, Minerva, Athene,
Zeus, Foreboding, Krypton, Erato, Jofur,
Octagari, Negri++, Nightingale, Aplonis

6 cents: Prodigy, Tripod, Minerva, Krypton, Zeus
Negri++, Nightingale, Thrush, Erato, Euterpe+
Octagari, Foreboding, Athene, Supermagic+, Selenium

7 cents: Krypton, Minerva, Zeus, Negri++, Prodigy,
Tripod, Nightingale, Selenium

8 cents: Krypton, Minerva, Negri++, Zeus, Selenium,
Callipoe+, Nightingale

9 cents: Krypton, Minerva, Potassium, Selenium, Negri++

10 cents: Krypton, Potassium, Nickel, Selenium, Minerva

Graham