Yer: Difference between revisions

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== Introduction ==
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
!Name
!11
!11
!13
!13
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!19
!19
!EFG composition
!EFG composition
!frequency multiplier (definition)
!Frequency multiplier (definition)
!frequency multiplier (decimal)
!Frequency multiplier (decimal)
!pitch (¢)
!Pitch (¢)
!EHEJIPN (on C)
!EHEJIPN (on C)
|-
|-
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{| class="wikitable"
{| class="wikitable"
|+
|+
!name
!Name
!value
!Value
!cents
!Cents
!prime exponent vector
!Prime exponent vector
|-
|-
|Blumeyer comma
|Blumeyer comma
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{| class="wikitable"
{| class="wikitable"
|+
|+
!name
!Name
!value
!Value
!cents
!Cents
!prime exponent vector
!Prime exponent vector
|-
|-
|yama comma
|Yama comma
|[[209/208]]
|[[209/208]]
|8.303296728
|8.303296728
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{| class="wikitable"
{| class="wikitable"
|+
|+
!name
!Name
!value
!Value
!cents
!Cents
!prime exponent vector
!Prime exponent vector
|-
|-
|Blume comma
|Blume comma
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{| class="wikitable"
{| class="wikitable"
|+Yer interval classes
|+Yer interval classes
!ratio
!Ratio
!type
!Type
!count
!Count
!prime exponent vector
!Prime exponent vector
!cents
!Cents
!gap between available interval classes
!Gap between available interval classes
!lower limit interval to nearest in Yer
!Lower limit interval to nearest in Yer
!cents difference up
!Cents difference up
!cents different down (to prove how they're right in between
!Cents difference down (to prove how they're right in between)
!inverse ratio
!Inverse ratio
!inverse cents
!Inverse cents
|-
|-
|2431:2432
|2431:2432
Retrieved from "https://en.xen.wiki/w/Yer"