Valentine/Chords: Difference between revisions

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Below are listed the [[dyadic chord]]s of 11-limit [[Valentine|valentine temperament]]. Typing the chords requires consideration of the fact that valentine conflates 12/11 and 11/10 and so also 11/6 and 20/11. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 11/10 and 20/11.

(Note that this preference for 20/11 over 11/6 is only true for the "transversal" column. As the person who created the list of inversions, I (Jake) would rather know about an 11/6 than a 20/11, so the "as generated" and inversion columns show 11/6. That sometimes required tempering out 121/120 where the original list didn't indicate the need. All that being said, the transversals are untouched from the original entry.)

(Note that this preference for 20/11 over 11/6 is only true for the "transversal" column -- and there aren't any there. As the person who created the list of inversions, I (Jake) would rather know about an 11/6 than a 20/11, so the "as generated" and inversion columns show 11/6. That sometimes required tempering out 121/120 where the original list didn't indicate the need. All that being said, the transversals are untouched from the original entry.)

If only [[126/125]] needs to be tempered out, the chord is labeled starling, if [[121/120]], biyatismic, if [[176/175]], valinorsmic, if [[385/384]], keenanismic, and if [[441/440]], werckismic. Chords which require any two of 121/120, 176/175 or 385/384 are labeled zeus, if they require any two of 126/125, 176/175 or 441/440, they are labeled thrush. Finally, if they require any three independent commas among those discussed above, it is labeled valentine.

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 Below are listed the [[dyadic chord]]s of 11-limit [[Valentine|valentine temperament]]. Typing the chords requires consideration of the fact that valentine conflates 12/11 and 11/10 and so also 11/6 and 20/11. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal which employs 11/10 and 20/11.
-(Note that this preference for 20/11 over 11/6 is only true for the "transversal" column. As the person who created the list of inversions, I (Jake) would rather know about an 11/6 than a 20/11, so the "as generated" and inversion columns show 11/6. That sometimes required tempering out 121/120 where the original list didn't indicate the need. All that being said, the transversals are untouched from the original entry.)
+(Note that this preference for 20/11 over 11/6 is only true for the "transversal" column -- and there aren't any there. As the person who created the list of inversions, I (Jake) would rather know about an 11/6 than a 20/11, so the "as generated" and inversion columns show 11/6. That sometimes required tempering out 121/120 where the original list didn't indicate the need. All that being said, the transversals are untouched from the original entry.)
 If only [[126/125]] needs to be tempered out, the chord is labeled starling, if [[121/120]], biyatismic, if [[176/175]], valinorsmic, if [[385/384]], keenanismic, and if [[441/440]], werckismic. Chords which require any two of 121/120, 176/175 or 385/384 are labeled zeus, if they require any two of 126/125, 176/175 or 441/440, they are labeled thrush. Finally, if they require any three independent commas among those discussed above, it is labeled valentine.