Tour of regular temperaments: Difference between revisions
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===[[Pythagorean family|Pythagorean or Lalawa family]] (P8/12, ^1)=== | ===[[Pythagorean family|Pythagorean or Lalawa family]] (P8/12, ^1)=== | ||
The Pythagorean family tempers out the [[Pythagorean comma]], 531441/524288 = {{Monzo|-19 12 0}}, which implies [[12-edo]]. 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 [[12-edo]]. 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. | ||
===[[Mercator family|Mercator family]] (P8/53, ^1)=== | |||
The Mercator family tempers out the [[Mercator's comma]], {{Monzo| -84 53 }}, which implies [[53edo]]. | |||
== Families defined by a 2.3.5 (ya) comma == | == Families defined by a 2.3.5 (ya) comma == | ||