Tour of regular temperaments: Difference between revisions
cleanup |
replaced Tribisawa and Quadbilawa with Wa-41 and Wa-53, the preferred format for color names of wa commas, since it's much easier to "decode". (Sawa, Lawa and Lalawa are the only exceptions to this rule.) |
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: The Pythagorean family tempers out the [[Pythagorean comma]], 531441/524288 = {{Monzo|-19 12 0}}, which implies [[12edo|12EDO]]. This family includes the compton and catler temperaments. Temperaments in this family tend to have a period of 1/12th octave The 5-limit compton temperament can be thought of as multiple rings of 12-edo, offset from one another by a justly tuned 5/4, or alternatively by a tempered 81/80. Several 12-edo instruments slightly detuned from each other provide an easy way to make music with these temperaments. | : The Pythagorean family tempers out the [[Pythagorean comma]], 531441/524288 = {{Monzo|-19 12 0}}, which implies [[12edo|12EDO]]. This family includes the compton and catler temperaments. Temperaments in this family tend to have a period of 1/12th octave The 5-limit compton temperament can be thought of as multiple rings of 12-edo, offset from one another by a justly tuned 5/4, or alternatively by a tempered 81/80. Several 12-edo instruments slightly detuned from each other provide an easy way to make music with these temperaments. | ||
; [[Counterpyth family|Counterpyth or | ; [[Counterpyth family|Counterpyth or Wa-41 family]] (P8/41, ^1) | ||
: The Counterpyth family tempers out the [[41-comma|counterpyth comma]], {{Monzo| 65 -41}}, which implies [[41edo|41EDO]]. | : The Counterpyth family tempers out the [[41-comma|counterpyth comma]], {{Monzo| 65 -41}}, which implies [[41edo|41EDO]]. | ||
; [[Mercator family|Mercator or | ; [[Mercator family|Mercator or Wa-53 family]] (P8/53, ^1) | ||
: The Mercator family tempers out the [[Mercator's comma]], {{Monzo| -84 53 }}, which implies [[53edo|53EDO]]. | : The Mercator family tempers out the [[Mercator's comma]], {{Monzo| -84 53 }}, which implies [[53edo|53EDO]]. | ||