&: Difference between revisions

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The '''&''' (ampersand) operator is commonly used<ref>For example, on [http://x31eq.com/temper/ Graham Breed's temperament finding tool].</ref> to [[join]] [[equal temperaments]] into higher-[[rank]] [[regular ~~temperaments~~]]. This is sometimes called "cross-breeding", because the maps for these ETs are sometimes called "[[breed~~|breeds~~]]".

The '''&''' (ampersand) operator is commonly used<ref>For example, on [http://x31eq.com/temper/ Graham Breed's temperament finding tool].</ref> to [[join]] [[equal temperaments]] into higher-[[rank]] [[regular temperament]]s. This is sometimes called "cross-breeding", because the maps for these ETs are sometimes called "[[breed]]s".

For example, 12&19 means to join the [[map]] for [[12-ET]] with the map for [[19-ET]]. In the [[5-limit]], that looks like {{map|12 19 28}}&{{map|19 30 44}} = {{vector|{{map|12 19 28}} {{map|19 30 44}}}}. This is the mapping for [[meantone]] temperament; it may not be immediately apparent, but [[~~Normal_lists~~|reducing]] that mapping matrix can give something more familiar like {{vector|{{map|1 1 0}} {{map|0 1 -4}}}}.

For example, 12&19 means to join the [[map]] for [[12-ET]] with the map for [[19-ET]]. In the [[5-limit]], that looks like {{map|12 19 28}}&{{map|19 30 44}} = {{vector|{{map|12 19 28}} {{map|19 30 44}}}}. This is the mapping for [[meantone]] temperament; it may not be immediately apparent, but [[Normal lists|reducing]] that mapping matrix can give something more familiar like {{vector|{{map|1 1 0}} {{map|0 1 4}}}}.

More than two maps may be combined like this at a time, such as 22&34d&37 to give [[ares]]. The 'd' of 34d reveals that these representations of ET maps are in [[wart notation]].

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-The '''&''' (ampersand) operator is commonly used<ref>For example, on [http://x31eq.com/temper/ Graham Breed's temperament finding tool].</ref> to [[join]] [[equal temperaments]] into higher-[[rank]] [[regular temperaments]]. This is sometimes called "cross-breeding", because the maps for these ETs are sometimes called "[[breed|breeds]]".
+The '''&''' (ampersand) operator is commonly used<ref>For example, on [http://x31eq.com/temper/ Graham Breed's temperament finding tool].</ref> to [[join]] [[equal temperaments]] into higher-[[rank]] [[regular temperament]]s. This is sometimes called "cross-breeding", because the maps for these ETs are sometimes called "[[breed]]s".
-For example, 12&19 means to join the [[map]] for [[12-ET]] with the map for [[19-ET]]. In the [[5-limit]], that looks like {{map|12 19 28}}&{{map|19 30 44}} = {{vector|{{map|12 19 28}} {{map|19 30 44}}}}. This is the mapping for [[meantone]] temperament; it may not be immediately apparent, but [[Normal_lists|reducing]] that mapping matrix can give something more familiar like {{vector|{{map|1 1 0}} {{map|0 1 -4}}}}.
+For example, 12&19 means to join the [[map]] for [[12-ET]] with the map for [[19-ET]]. In the [[5-limit]], that looks like {{map|12 19 28}}&{{map|19 30 44}} = {{vector|{{map|12 19 28}} {{map|19 30 44}}}}. This is the mapping for [[meantone]] temperament; it may not be immediately apparent, but [[Normal lists|reducing]] that mapping matrix can give something more familiar like {{vector|{{map|1 1 0}} {{map|0 1 4}}}}.
 More than two maps may be combined like this at a time, such as 22&34d&37 to give [[ares]]. The 'd' of 34d reveals that these representations of ET maps are in [[wart notation]].