Pental major and minor: Difference between revisions

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Optionally, the category of pental may be split into two smaller categories. Tuning ranges have been provided in terms of thirds:
Optionally, the category of pental may be split into two smaller categories. Tuning ranges have been provided in terms of thirds:


* '''Magimajor''' and '''magiminor''', for thirds, range between about 375-382 and 320–327{{c}}, 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{{c}}, 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 {{nowrap|''k'' + 28}}, and the magiminor version is found at around {{nowrap|''k'' − 28}}.
* '''Magimajor''' and '''magiminor''', for thirds, range between about 375–382 and 320–327{{c}}, 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{{c}}, 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 {{nowrap|''k'' + 28}}, and the magiminor version is found at around {{nowrap|''k'' − 28}}.
* '''Pentamajor''' and '''pentaminor''', for thirds, range between about 382-394 and 308–320{{c}}, respectively. These are the regions containing 5-limit intervals. Pentamajor seconds range from 178–190{{c}}. For a given [[neutral]] interval ''k'' in cents, the pentamajor version is found at around {{nowrap|''k'' + 35}}, and the pentaminor version is found at around {{nowrap|''k'' − 35}}.
* '''Pentamajor''' and '''pentaminor''', for thirds, range between about 382–394 and 308–320{{c}}, respectively. These are the regions containing 5-limit intervals. Pentamajor seconds range from 178–190{{c}}. For a given [[neutral]] interval ''k'' in cents, the pentamajor version is found at around {{nowrap|''k'' + 35}}, and the pentaminor version is found at around {{nowrap|''k'' − 35}}.


{{Navbox intervals}}
{{Navbox intervals}}