Yer: Difference between revisions
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Yer is an octave-reduced EFG ([[wikipedia:Euler–Fokker_genus|Euler-Fokker genus]]) of 11, 13, 17, and 19. As such it is a 2.11.13.17.19 limit just intonation tuning (ignoring the 3rd, 5th, and 7th harmonics) which is octave-repeating. | Yer is an octave-reduced EFG ([[wikipedia:Euler–Fokker_genus|Euler-Fokker genus]]) of 11, 13, 17, and 19. As such it is a 2.11.13.17.19 limit just intonation tuning (ignoring the 3rd, 5th, and 7th harmonics) which is octave-repeating. | ||
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Yer was developed by [[Douglas Blumeyer|Douglas Blumeyer]] as a system to explore the [[unnoticeable comma]] 2432/2431, the Blumeyer comma, which appears twice as a step in the scale. | Yer was developed by [[Douglas Blumeyer|Douglas Blumeyer]] as a system to explore the [[unnoticeable comma]] 2432/2431, the Blumeyer comma, which appears twice as a step in the scale. | ||
== The scale == | |||
{| class="wikitable center-all" | {| class="wikitable center-all" | ||
|+ | |+ style="font-size: 105%" | Steps of Yer | ||
! | !Name | ||
!11 | !11 | ||
!13 | !13 | ||
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!19 | !19 | ||
!EFG composition | !EFG composition | ||
! | !Frequency multiplier (definition) | ||
! | !Frequency multiplier (decimal) | ||
! | !Pitch (¢) | ||
!EHEJIPN (on C) | !EHEJIPN (on C) | ||
|- | |- | ||
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{| class="wikitable" | {| class="wikitable" | ||
|+ | |+ | ||
! | !Name | ||
! | !Value | ||
! | !Cents | ||
! | !Prime exponent vector | ||
|- | |- | ||
|Blumeyer comma | |Blumeyer comma | ||
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{| class="wikitable" | {| class="wikitable" | ||
|+ | |+ | ||
! | !Name | ||
! | !Value | ||
! | !Cents | ||
! | !Prime exponent vector | ||
|- | |- | ||
| | |Yama comma | ||
|[[209/208]] | |[[209/208]] | ||
|8.303296728 | |8.303296728 | ||
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{| class="wikitable" | {| class="wikitable" | ||
|+ | |+ | ||
! | !Name | ||
! | !Value | ||
! | !Cents | ||
! | !Prime exponent vector | ||
|- | |- | ||
|Blume comma | |Blume comma | ||
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{| class="wikitable" | {| class="wikitable" | ||
|+Yer interval classes | |+Yer interval classes | ||
! | !Ratio | ||
! | !Type | ||
! | !Count | ||
! | !Prime exponent vector | ||
! | !Cents | ||
! | !Gap between available interval classes | ||
! | !Lower limit interval to nearest in Yer | ||
! | !Cents difference up | ||
! | !Cents difference down (to prove how they're right in between) | ||
! | !Inverse ratio | ||
! | !Inverse cents | ||
|- | |- | ||
|2431:2432 | |2431:2432 | ||