Talk:29edo: Difference between revisions

Line 30:

::: I'm of the opinion that there is no such thing as accoustic pi or accoustic any irrational number. However, I think accoustic phi exists as a series of rational numbers that build on themselves recursively and naturally (5:8:13:21:34:55:...) and therefore it has potential importance sonically. However, I disagree with the notion that logarithmic phi is irrelevant. Phi is important because it is the most efficient number for escaping rational approximations, therefore it generates a progression of smooth recursively nested/interrelated structures; MOSSes (Moment Of Symmetry Scales) specifically. (Scales generated by 741.6407865c.) Note that this concept works for any period, so you could do the same thing but interpreting phi (~1.618 or ~-0.618; both are equivalent under period-equivalence) as describing an amount of tritaves, or fifths, etc. It is interesting to me that, for example, [[34edo]] approximates logarithmic phi, as it is a great system non-meantone system. Similarly you can use phi in yet other ways like in the case of [[golden meantone]], which highlights [[31edo]] as especially interesting as a great meantone system. --[[User:Godtone|Godtone]] ([[User talk:Godtone|talk]]) 02:52, 9 March 2023 (UTC)

::: Also note how it isn't a coincidence that the approximation of logarithmic phi in [[34edo]] is 21/34 octaves. :) --[[User:Godtone|Godtone]] ([[User talk:Godtone|talk]]) 03:00, 9 March 2023 (UTC)

Revision as of 02:52, 9 March 2023 view source Godtone (talk \| contribs) autopatrolled, emailconfirmed 2,289 edits →Logarithmic mathematical constants vs acoustic mathematical constants ← Older edit		Revision as of 03:00, 9 March 2023 view source Godtone (talk \| contribs) autopatrolled, emailconfirmed 2,289 edits m →Logarithmic mathematical constants vs acoustic mathematical constants Newer edit →
Line 30:		Line 30:

	::: I'm of the opinion that there is no such thing as accoustic pi or accoustic any irrational number. However, I think accoustic phi exists as a series of rational numbers that build on themselves recursively and naturally (5:8:13:21:34:55:...) and therefore it has potential importance sonically. However, I disagree with the notion that logarithmic phi is irrelevant. Phi is important because it is the most efficient number for escaping rational approximations, therefore it generates a progression of smooth recursively nested/interrelated structures; MOSSes (Moment Of Symmetry Scales) specifically. (Scales generated by 741.6407865c.) Note that this concept works for any period, so you could do the same thing but interpreting phi (~1.618 or ~-0.618; both are equivalent under period-equivalence) as describing an amount of tritaves, or fifths, etc. It is interesting to me that, for example, [[34edo]] approximates logarithmic phi, as it is a great system non-meantone system. Similarly you can use phi in yet other ways like in the case of [[golden meantone]], which highlights [[31edo]] as especially interesting as a great meantone system. --[[User:Godtone\|Godtone]] ([[User talk:Godtone\|talk]]) 02:52, 9 March 2023 (UTC)		::: I'm of the opinion that there is no such thing as accoustic pi or accoustic any irrational number. However, I think accoustic phi exists as a series of rational numbers that build on themselves recursively and naturally (5:8:13:21:34:55:...) and therefore it has potential importance sonically. However, I disagree with the notion that logarithmic phi is irrelevant. Phi is important because it is the most efficient number for escaping rational approximations, therefore it generates a progression of smooth recursively nested/interrelated structures; MOSSes (Moment Of Symmetry Scales) specifically. (Scales generated by 741.6407865c.) Note that this concept works for any period, so you could do the same thing but interpreting phi (~1.618 or ~-0.618; both are equivalent under period-equivalence) as describing an amount of tritaves, or fifths, etc. It is interesting to me that, for example, [[34edo]] approximates logarithmic phi, as it is a great system non-meantone system. Similarly you can use phi in yet other ways like in the case of [[golden meantone]], which highlights [[31edo]] as especially interesting as a great meantone system. --[[User:Godtone\|Godtone]] ([[User talk:Godtone\|talk]]) 02:52, 9 March 2023 (UTC)

			::: Also note how it isn't a coincidence that the approximation of logarithmic phi in [[34edo]] is 21/34 octaves. :) --[[User:Godtone\|Godtone]] ([[User talk:Godtone\|talk]]) 03:00, 9 March 2023 (UTC)