Holdrian comma: Difference between revisions

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The '''Holdrian comma''', also called '''Holder's comma''', ~~and~~ rarely the '''Arabian comma''',<ref name=Touma>Habib Hassan Touma & Laurie Schwartz - ''The Music of the Arabs'' - p23 (1993) - ISBN=0-931340-88-8</ref> is a small [[interval]] of approximately 22.6415 [[cents]],<ref name=Touma/> equal to exactly one step of [[53edo]], or <math>\ \sqrt[53]{2\;}\ </math>.

The '''Holdrian comma''', also called '''Holder's comma''', rarely the '''Arabian comma''',<ref name=Touma>Habib Hassan Touma & Laurie Schwartz - ''The Music of the Arabs'' - p23 (1993) - ISBN=0-931340-88-8</ref> is a small [[interval]] of approximately 22.6415 [[cents]],<ref name=Touma/> equal to exactly one step of [[53edo]], or <math>\ \sqrt[53]{2\;}\ </math>.

The name "[[comma]]", however, is technically misleading, since this interval is an irrational number and it does not describe a compromise between intervals of any tuning system. The interval gets the name "comma" because it is a close approximation of several commas, most notably the [[syntonic comma]] (21.51 [[cents]]), which was widely used as a unit of tonal measurement during [[William Holder]]’s time.

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-The '''Holdrian comma''', also called '''Holder's comma''', and rarely the '''Arabian comma''',<ref name=Touma>Habib Hassan Touma & Laurie Schwartz - ''The Music of the Arabs'' - p23 (1993) - ISBN=0-931340-88-8</ref> is a small [[interval]] of approximately 22.6415 [[cents]],<ref name=Touma/> equal to exactly one step of [[53edo]], or <math>\ \sqrt[53]{2\;}\ </math>.
+The '''Holdrian comma''', also called '''Holder's comma''', rarely the '''Arabian comma''',<ref name=Touma>Habib Hassan Touma & Laurie Schwartz - ''The Music of the Arabs'' - p23 (1993) - ISBN=0-931340-88-8</ref> is a small [[interval]] of approximately 22.6415 [[cents]],<ref name=Touma/> equal to exactly one step of [[53edo]], or <math>\ \sqrt[53]{2\;}\ </math>.
 The name "[[comma]]", however, is technically misleading, since this interval is an irrational number and it does not describe a compromise between intervals of any tuning system. The interval gets the name "comma" because it is a close approximation of several commas, most notably the [[syntonic comma]] (21.51 [[cents]]), which was widely used as a unit of tonal measurement during [[William Holder]]’s time.