Procyon comma: Difference between revisions

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The '''procyon comma''', 823543/820125, is a [[small comma|small]] no-twos [[7-limit]] [[comma]] with a size of 7.~~200~~ [[cent]]s. It is the difference between four [[9/7|septimal supermajor thirds (9/7)]] and three [[7/5|small septimal tritones (7/5)]], that is, (7/5)3/(9/7)4. This can also be written as (9/5)/(49/45)8, that is, the difference between a stack of seven [[49/45]] neutral seconds and a [[9/5]] minor seventh; it is part of a series of [[Don Page comma]]s between adjacent [[delta-N ratio|odd-particular]]s, following the [[3125/3087|gariboh comma (3125/3087)]]. It is additionally the difference between two [[245/243|sensamagic commas (245/243)]] and a gariboh comma.

The '''procyon comma''', 823543/820125, is a [[small comma|small]] no-twos [[7-limit]] [[comma]] with a size very close to exactly 7.2 [[cent]]s. It is the difference between four [[9/7|septimal supermajor thirds (9/7)]] and three [[7/5|small septimal tritones (7/5)]], that is, (7/5)3/(9/7)4. This can also be written as (9/5)/(49/45)8, that is, the difference between a stack of seven [[49/45]] neutral seconds and a [[9/5]] minor seventh; it is part of a series of [[Don Page comma]]s between adjacent [[delta-N ratio|odd-particular]]s, following the [[3125/3087|gariboh comma (3125/3087)]]. It is additionally the difference between two [[245/243|sensamagic commas (245/243)]] and a gariboh comma.

== Temperaments ==

The [[procyon]] temperament in the [[3.5.7 subgroup]] tempers out this comma, giving it its name. It can also be tempered out in the 2.7/5.9/5 subgroup.

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-The '''procyon comma''', 823543/820125, is a [[small comma|small]] no-twos [[7-limit]] [[comma]] with a size of 7.200 [[cent]]s. It is the difference between four [[9/7|septimal supermajor thirds (9/7)]] and three [[7/5|small septimal tritones (7/5)]], that is, (7/5)<sup>3</sup>/(9/7)<sup>4</sup>. This can also be written as (9/5)/(49/45)<sup>8</sup>, that is, the difference between a stack of seven [[49/45]] neutral seconds and a [[9/5]] minor seventh; it is part of a series of [[Don Page comma]]s between adjacent [[delta-N ratio|odd-particular]]s, following the [[3125/3087|gariboh comma (3125/3087)]]. It is additionally the difference between two [[245/243|sensamagic commas (245/243)]] and a gariboh comma.
+The '''procyon comma''', 823543/820125, is a [[small comma|small]] no-twos [[7-limit]] [[comma]] with a size very close to exactly 7.2 [[cent]]s. It is the difference between four [[9/7|septimal supermajor thirds (9/7)]] and three [[7/5|small septimal tritones (7/5)]], that is, (7/5)<sup>3</sup>/(9/7)<sup>4</sup>. This can also be written as (9/5)/(49/45)<sup>8</sup>, that is, the difference between a stack of seven [[49/45]] neutral seconds and a [[9/5]] minor seventh; it is part of a series of [[Don Page comma]]s between adjacent [[delta-N ratio|odd-particular]]s, following the [[3125/3087|gariboh comma (3125/3087)]]. It is additionally the difference between two [[245/243|sensamagic commas (245/243)]] and a gariboh comma.
 == Temperaments ==
 The [[procyon]] temperament in the [[3.5.7 subgroup]] tempers out this comma, giving it its name. It can also be tempered out in the 2.7/5.9/5 subgroup.