Talk:Miracle extensions: Difference between revisions

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::: I disagree that this article is about mirage in its current state, as nowhere in the article is prime 13 taken as an independent generator. The position of the prime is specifically given in the interval chain for each extension, and the consequence of each choice is discussed in the opening section. As for the extensions to the 17-limit, 273/272 relates 17/13 to 21/16, so the position of 17 can be inferred once the position of 13 is decided, tho I guess it could use some explanation to make this fact clear. I haven't looked too closely at further extensions beyond the 17-limit to have a solid idea about them. —[[User:FloraC|FloraC]] ([[User talk:FloraC|talk]]) 17:07, 18 January 2026 (UTC)

Miracle is most naturally an 11-limit temperament. Revelation is miracle with an alternative mapping for 11 which is both more complex and less accurate. Although revelation is an extension of 7-limit miracle, this page should be about extensions of 11-limit miracle, just like [[magic extensions]] is about extensions of 7-limit (not 5-limit) magic. Because revelation doesn't fit with what the rest of this page is about, it should have its own page just like [[muggles]] has its own page. [[User:Squib|Squib]] ([[User talk:Squib|talk]]) 22:08, 18 January 2026 (UTC)

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	::: I disagree that this article is about mirage in its current state, as nowhere in the article is prime 13 taken as an independent generator. The position of the prime is specifically given in the interval chain for each extension, and the consequence of each choice is discussed in the opening section. As for the extensions to the 17-limit, 273/272 relates 17/13 to 21/16, so the position of 17 can be inferred once the position of 13 is decided, tho I guess it could use some explanation to make this fact clear. I haven't looked too closely at further extensions beyond the 17-limit to have a solid idea about them. —[[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 17:07, 18 January 2026 (UTC)		::: I disagree that this article is about mirage in its current state, as nowhere in the article is prime 13 taken as an independent generator. The position of the prime is specifically given in the interval chain for each extension, and the consequence of each choice is discussed in the opening section. As for the extensions to the 17-limit, 273/272 relates 17/13 to 21/16, so the position of 17 can be inferred once the position of 13 is decided, tho I guess it could use some explanation to make this fact clear. I haven't looked too closely at further extensions beyond the 17-limit to have a solid idea about them. —[[User:FloraC\|FloraC]] ([[User talk:FloraC\|talk]]) 17:07, 18 January 2026 (UTC)



			Miracle is most naturally an 11-limit temperament. Revelation is miracle with an alternative mapping for 11 which is both more complex and less accurate. Although revelation is an extension of 7-limit miracle, this page should be about extensions of 11-limit miracle, just like [[magic extensions]] is about extensions of 7-limit (not 5-limit) magic. Because revelation doesn't fit with what the rest of this page is about, it should have its own page just like [[muggles]] has its own page. [[User:Squib\|Squib]] ([[User talk:Squib\|talk]]) 22:08, 18 January 2026 (UTC)