Talk:7/4: Difference between revisions

Line 13:

::: I read ''half a step'' as 50% of 1\edo? Concerning the prime harmonics (their octave complements share the exact same table), is it actually that indisputable? I know the concept of [[consistency]] but I find it questionable already in cases like [[7/5]]: this interval can probably be used independently of the fact that it can be derived from [[7/4]] and [[5/4]]; another example is the great approximation of [[11/7]] in [[23edo]]. Whatever, would you say that tables would useful to you if there was this column with the amount of repetitions within the limit you described? --[[User:Xenwolf|Xenwolf]] ([[User talk:Xenwolf|talk]]) 21:53, 25 October 2020 (UTC)

:::: You are correct in your reading of half a step as 1\edo. While it is true that 7/5 can be used independently can be used independently of the fact that it can be derived from 7/4 and 5/4, consistency is my main concern with these intervals, as wherever the p-limits from which intervals like 7/5 are derived are subject to contortion in any given ~~edo~~, it seems to either call the consistency of the derived intervals into question and or open up multiple possible representations in a given EDO. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 22:14, 25 October 2020 (UTC)

:::: You are correct in your reading of half a step as 1\edo. While it is true that 7/5 can be used independently can be used independently of the fact that it can be derived from 7/4 and 5/4, consistency is my main concern with these intervals, as wherever the p-limits from which intervals like 7/5 are derived are poorly represented and or subject to contortion in any given EDO, it seems to either call the consistency of the derived intervals into question and or open up multiple possible representations in a given EDO. --[[User:Aura|Aura]] ([[User talk:Aura|talk]]) 22:14, 25 October 2020 (UTC)

Revision as of 22:14, 25 October 2020 view source Aura (talk \| contribs) autopatrolled 5,920 edits No edit summary ← Older edit		Revision as of 22:15, 25 October 2020 view source Aura (talk \| contribs) autopatrolled 5,920 edits No edit summary Newer edit →
Line 13:		Line 13:
	::: I read ''half a step'' as 50% of 1\edo? Concerning the prime harmonics (their octave complements share the exact same table), is it actually that indisputable? I know the concept of [[consistency]] but I find it questionable already in cases like [[7/5]]: this interval can probably be used independently of the fact that it can be derived from [[7/4]] and [[5/4]]; another example is the great approximation of [[11/7]] in [[23edo]]. Whatever, would you say that tables would useful to you if there was this column with the amount of repetitions within the limit you described? --[[User:Xenwolf\|Xenwolf]] ([[User talk:Xenwolf\|talk]]) 21:53, 25 October 2020 (UTC)		::: I read ''half a step'' as 50% of 1\edo? Concerning the prime harmonics (their octave complements share the exact same table), is it actually that indisputable? I know the concept of [[consistency]] but I find it questionable already in cases like [[7/5]]: this interval can probably be used independently of the fact that it can be derived from [[7/4]] and [[5/4]]; another example is the great approximation of [[11/7]] in [[23edo]]. Whatever, would you say that tables would useful to you if there was this column with the amount of repetitions within the limit you described? --[[User:Xenwolf\|Xenwolf]] ([[User talk:Xenwolf\|talk]]) 21:53, 25 October 2020 (UTC)

	:::: You are correct in your reading of half a step as 1\edo. While it is true that 7/5 can be used independently can be used independently of the fact that it can be derived from 7/4 and 5/4, consistency is my main concern with these intervals, as wherever the p-limits from which intervals like 7/5 are derived are subject to contortion in any given ~~edo~~, it seems to either call the consistency of the derived intervals into question and or open up multiple possible representations in a given EDO. --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 22:14, 25 October 2020 (UTC)		:::: You are correct in your reading of half a step as 1\edo. While it is true that 7/5 can be used independently can be used independently of the fact that it can be derived from 7/4 and 5/4, consistency is my main concern with these intervals, as wherever the p-limits from which intervals like 7/5 are derived are poorly represented and or subject to contortion in any given EDO, it seems to either call the consistency of the derived intervals into question and or open up multiple possible representations in a given EDO. --[[User:Aura\|Aura]] ([[User talk:Aura\|talk]]) 22:14, 25 October 2020 (UTC)