Magic: Difference between revisions

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~~<span style~~=~~"display: block; text-align: right;">[[de:Magische_Temperaturen-x-7-Limit-magisch~~|~~Deutsch]]</span>~~

{{interwiki

| de = Magische Temperaturen

'''Magic''' is a linear temperament in which the ~380 cent generator represents [[5/4]], and five of those make a 3/1. This implies that the [[magic comma]] 3125/3072 is tempered out, making it a member of the [[magic family]]. This article also assumes the default mapping for the prime 7, which tempers out [[225/224]] and makes two generators equivalent to [[14/9]]. [[7/4]] can be reached by 12 generators in this mapping. (There is an alternative mapping for 7 known as [[Magic family #Muggles|muggles]], but there's basically no reason to use it unless you're using [[19edo]], in which case it's identical to magic anyway.)

| en = Magic

| es =

| ja =

}}

'''Magic''' is a linear temperament in which the ~380 cent generator represents [[5/4]], and five of those make a [[3/1]]. This implies that the [[magic comma]] [[3125/3072]] is tempered out, making it a member of the [[magic family]]. This article also assumes the default mapping for the prime 7, which tempers out [[225/224]] and makes two generators equivalent to [[14/9]]. [[7/4]] can be reached by 12 generators in this mapping. (There is an alternative mapping for 7 known as [[Magic family #Muggles|muggles]], but there is basically no reason to use it unless you're using [[19edo]], in which case it's identical to magic anyway.)

EDOs that contain good magic scales include [[19edo]], [[22edo]], [[41edo]], [[60edo]] and [[104edo]].

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| 4/3

| 380.391

| 5, 7 and 9 limit minimax

| 5-, 7- and 9-odd-limit minimax

|-

| 11/9

| 380.700

| 11 limit minimax

| 11-odd-limit minimax

|-

| 8/7

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|}

== Chords ~~of magic~~ ==

== Chords ==

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[[Category:Temperament]]

[[Category:Magic]]

[[Category:Magic| ]]

[[Category:Marvel]]

[[Category:Sensamagic]]

[[Category:Keemic]]

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-<span style="display: block; text-align: right;">[[de:Magische_Temperaturen-x-7-Limit-magisch|Deutsch]]</span>
+{{interwiki
+| de = Magische Temperaturen
-'''Magic''' is a linear temperament in which the ~380 cent generator represents [[5/4]], and five of those make a 3/1. This implies that the [[magic comma]] 3125/3072 is tempered out, making it a member of the [[magic family]]. This article also assumes the default mapping for the prime 7, which tempers out [[225/224]] and makes two generators equivalent to [[14/9]]. [[7/4]] can be reached by 12 generators in this mapping. (There is an alternative mapping for 7 known as [[Magic family #Muggles|muggles]], but there's basically no reason to use it unless you're using [[19edo]], in which case it's identical to magic anyway.)
+| en = Magic
+| es =
+| ja =
+}}
+'''Magic''' is a linear temperament in which the ~380 cent generator represents [[5/4]], and five of those make a [[3/1]]. This implies that the [[magic comma]] [[3125/3072]] is tempered out, making it a member of the [[magic family]]. This article also assumes the default mapping for the prime 7, which tempers out [[225/224]] and makes two generators equivalent to [[14/9]]. [[7/4]] can be reached by 12 generators in this mapping. (There is an alternative mapping for 7 known as [[Magic family #Muggles|muggles]], but there is basically no reason to use it unless you're using [[19edo]], in which case it's identical to magic anyway.)
 EDOs that contain good magic scales include [[19edo]], [[22edo]], [[41edo]], [[60edo]] and [[104edo]].
@@ Line 87: / Line 91: @@
 | 4/3
 | 380.391
-| 5, 7 and 9 limit minimax
+| 5-, 7- and 9-odd-limit minimax
 |-
 | 11/9
 | 380.700
-| 11 limit minimax
+| 11-odd-limit minimax
 |-
 | 8/7
@@ Line 126: / Line 130: @@
 |}
-== Chords of magic ==
+== Chords ==
 {{main| Chords of magic }}
 {{see also| Magic Tetrachords }}
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 [[Category:Temperament]]
-[[Category:Magic]]
+[[Category:Magic| ]] <!-- main article -->
+[[Category:Marvel]]
+[[Category:Sensamagic]]
+[[Category:Keemic]]