Historical temperaments: Difference between revisions

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== Examples ==

Here are some examples of historical temperaments. Some of these temperaments saw widespread usage, some saw limited usage, and some were discussed merely as thought experiments. Some were referred to by ~~their~~ modern name, while others went by a different name to the modern one, but still described the same mathematical object.

Here are some examples of historical temperaments. Some of these temperaments saw widespread usage, some saw limited usage, and some were discussed merely as thought experiments. Some were referred to by the ir modern name, while others went by a different name to the modern one, but still described the same mathematical object.

* [[Pythagorean tuning]]

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** [[74edo]] (''Riccati 1762'')<ref name="Monzo" />*

** [[3/14-comma meantone|3/14 comma]] (''Riccati 1762'')<ref name="Monzo" />*

** [[1/5-comma meantone|1/5 comma]] (''Verheyen c. 1600''<ref>Abraham Verheyen's letter to Simon Stevin, c. 1600</ref> & ''Sauveur 1701''<ref name="Sauveur1">''Archives of the Académie des Sciences, Paris, Procès verbaux, vol. 20'', February through April 1701</ref><ref name="Sauveur2">''Mémoires de l'Académie Royale des Sciences (Paris, 1701)'', ~~pp.~~ 299–366</ref>)

** [[1/5-comma meantone|1/5 comma]] (''Verheyen c. 1600''<ref>Abraham Verheyen's letter to Simon Stevin, c. 1600</ref> & ''Sauveur 1701''<ref name="Sauveur1">''Archives of the Académie des Sciences, Paris, Procès verbaux, vol. 20'', February through April 1701</ref><ref name="Sauveur2">''Mémoires de l'Académie Royale des Sciences (Paris, 1701)'', pages 299–366</ref>)

** [[43edo]] (''Sauveur 1701'')<ref name="Sauveur1" /><ref name="Sauveur2" />

** [[55edo]] (''Beer <1722'')<ref name="Monzo" />*

@@ Line 3: / Line 3: @@
 == Examples ==
-Here are some examples of historical temperaments. Some of these temperaments saw widespread usage, some saw limited usage, and some were discussed merely as thought experiments. Some were referred to by their modern name, while others went by a different name to the modern one, but still described the same mathematical object.
+Here are some examples of historical temperaments. Some of these temperaments saw widespread usage, some saw limited usage, and some were discussed merely as thought experiments. Some were referred to by the ir modern name, while others went by a different name to the modern one, but still described the same mathematical object.
 * [[Pythagorean tuning]]
@@ Line 22: / Line 22: @@
 ** [[74edo]] (''Riccati 1762'')<ref name="Monzo" />*
 ** [[3/14-comma meantone|3/14 comma]] (''Riccati 1762'')<ref name="Monzo" />*
-** [[1/5-comma meantone|1/5 comma]] (''Verheyen c. 1600''<ref>Abraham Verheyen's letter to Simon Stevin, c. 1600</ref> & ''Sauveur 1701''<ref name="Sauveur1">''Archives of the Académie des Sciences, Paris, Procès verbaux, vol. 20'', February through April 1701</ref><ref name="Sauveur2">''Mémoires de l'Académie Royale des Sciences (Paris, 1701)'', pp. 299–366</ref>)
+** [[1/5-comma meantone|1/5 comma]] (''Verheyen c. 1600''<ref>Abraham Verheyen's letter to Simon Stevin, c. 1600</ref> & ''Sauveur 1701''<ref name="Sauveur1">''Archives of the Académie des Sciences, Paris, Procès verbaux, vol. 20'', February through April 1701</ref><ref name="Sauveur2">''Mémoires de l'Académie Royale des Sciences (Paris, 1701)'', pages 299–366</ref>)
 ** [[43edo]] (''Sauveur 1701'')<ref name="Sauveur1" /><ref name="Sauveur2" />
 ** [[55edo]] (''Beer <1722'')<ref name="Monzo" />*