User:Moremajorthanmajor/Well tempered nonet: Difference between revisions

Line 1:

A '''well tempered nonet''' is a kind of [[nonoctave]] scale created by Joseph Ruhf. They repeat at an interval around the 1300-1500 cent range.

A '''well tempered nonet''' is a kind of [[nonoctave]] scale created by Joseph Ruhf. They repeat at an interval around the 1300-1500 cent range and their optimal tunings target the nonet of a [[Kartvelian scales|Kartvelian scale]].

As a consequence of their irregularity, it is possible in extreme cases for well temperaments to have classes where they tune each instance of an interval in that class uniquely, as if they were [[Just intonation|just]] scales of the same [[rank]] as their cardinality. For example, one may make a well temperament from a [[EdIX|nonet]] by taking m [[EDF|edf]] alternating with m equal divisions of an (n [[edo]]) interval between 600 and 800 [[Cent (music)|cent]]<nowiki/>s though an interval very close to 600 or 800 cents is going to make a well temperament sounding little like a nonet. Each tone of m edf in such a well temperament will have a unique fifth either above or below it.

Revision as of 04:01, 30 May 2021 view source Keenan Pepper (talk \| contribs) autopatrolled, Bureaucrats, confirmaccount-notify, Interface administrators, Sysops 968 edits move stuff here from Well temperament		Revision as of 17:18, 31 May 2021 view source Moremajorthanmajor (talk \| contribs) 3,126 edits No edit summary Tag: Visual edit Newer edit →
Line 1:		Line 1:
	A '''well tempered nonet''' is a kind of [[nonoctave]] scale created by Joseph Ruhf. They repeat at an interval around the 1300-1500 cent range.		A '''well tempered nonet''' is a kind of [[nonoctave]] scale created by Joseph Ruhf. They repeat at an interval around the 1300-1500 cent range and their optimal tunings target the nonet of a [[Kartvelian scales\|Kartvelian scale]].

	As a consequence of their irregularity, it is possible in extreme cases for well temperaments to have classes where they tune each instance of an interval in that class uniquely, as if they were [[Just intonation\|just]] scales of the same [[rank]] as their cardinality. For example, one may make a well temperament from a [[EdIX\|nonet]] by taking m [[EDF\|edf]] alternating with m equal divisions of an (n [[edo]]) interval between 600 and 800 [[Cent (music)\|cent]]<nowiki/>s though an interval very close to 600 or 800 cents is going to make a well temperament sounding little like a nonet. Each tone of m edf in such a well temperament will have a unique fifth either above or below it.		As a consequence of their irregularity, it is possible in extreme cases for well temperaments to have classes where they tune each instance of an interval in that class uniquely, as if they were [[Just intonation\|just]] scales of the same [[rank]] as their cardinality. For example, one may make a well temperament from a [[EdIX\|nonet]] by taking m [[EDF\|edf]] alternating with m equal divisions of an (n [[edo]]) interval between 600 and 800 [[Cent (music)\|cent]]<nowiki/>s though an interval very close to 600 or 800 cents is going to make a well temperament sounding little like a nonet. Each tone of m edf in such a well temperament will have a unique fifth either above or below it.