Pental major and minor: Difference between revisions

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* '''Magimajor''' and '''magiminor''', for thirds, range between about 375-382 and 320-327 cents, respectively. These are flat of the 5-limit thirds, and appear in 5-limit temperaments where the chromatic semitone 25/24 is tempered narrow, like in [[garibaldi]], [[magic]] (hence the name), or the minor third in [[flattone]]. Magimajor seconds range from 171-178 cents, and thus contain the upper part of the "equable heptatonic" region. For a given [[neutral]] interval ''k'' in cents, the magimajor version is found at around k+28, and the magiminor version is found at around k-28.

* '''Pentamajor''' and '''pentaminor''', for thirds, range between about 382-394 and 308-320 cents, respectively. These are the regions containing 5-limit intervals. Pentamajor seconds range from 178-190 cents. For a given [[neutral]] interval ''k'' in cents, the pentamajor version is found at around k+35, and the pentaminor version is found at around k-35.

~~== See also ==~~

*

* [[Neutral (interval quality)]] - halfway between major and minor

* [[Submajor and supraminor]] - roughly 10 to 24 cents sharp or flat of neutral

* [[Novamajor and novaminor]] - roughly 43 to 60 cents sharp or flat of neutral

* [[Neogothic major and minor]] - roughly 60 to 78 cents sharp or flat of neutral

* [[Supermajor and subminor]] - roughly 78 to 95 cents sharp or flat of neutral

* ~~[[Ultramajor and inframinor]] - more extreme than 95 cents sharp or flat of neutral~~

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 * '''Magimajor''' and '''magiminor''', for thirds, range between about 375-382 and 320-327 cents, respectively. These are flat of the 5-limit thirds, and appear in 5-limit temperaments where the chromatic semitone 25/24 is tempered narrow, like in [[garibaldi]], [[magic]] (hence the name), or the minor third in [[flattone]]. Magimajor seconds range from 171-178 cents, and thus contain the upper part of the "equable heptatonic" region. For a given [[neutral]] interval ''k'' in cents, the magimajor version is found at around k+28, and the magiminor version is found at around k-28.
 * '''Pentamajor''' and '''pentaminor''', for thirds, range between about 382-394 and 308-320 cents, respectively. These are the regions containing 5-limit intervals. Pentamajor seconds range from 178-190 cents. For a given [[neutral]] interval ''k'' in cents, the pentamajor version is found at around k+35, and the pentaminor version is found at around k-35.
+{{Navbox intervals}}
-== See also ==
+*
-* [[Neutral (interval quality)]] - halfway between major and minor
-* [[Submajor and supraminor]] - roughly 10 to 24 cents sharp or flat of neutral
-* [[Novamajor and novaminor]] - roughly 43 to 60 cents sharp or flat of neutral
-* [[Neogothic major and minor]] - roughly 60 to 78 cents sharp or flat of neutral
-* [[Supermajor and subminor]] - roughly 78 to 95 cents sharp or flat of neutral
-* [[Ultramajor and inframinor]] - more extreme than 95 cents sharp or flat of neutral