2edf: Difference between revisions

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Rework interval table since it was hard to find the relevant info
m Cleanup
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'''2EDF''', if the attempt is made to use it as an actual scale, would divide the [[just perfect fifth]] into two equal parts, each of size 350.9775 cents, which is to say sqrt(3/2) as a frequency ratio. It corresponds to 3.4190 [[edo]]. If we want to consider it to be a temperament, it tempers out [[6/5]], [[9/7]], [[32/27]], and [[81/80]] in the patent val.
'''2edf''', if the attempt is made to use it as an actual scale, would divide the [[just perfect fifth]] into two equal parts, each of size 350.9775 [[cent]]s, which is to say sqrt (3/2) as a frequency ratio. It corresponds to 3.4190 [[edo]]. If we want to consider it to be a temperament, it tempers out [[6/5]], [[9/7]], [[32/27]], and [[81/80]] in the patent val.


==Factoids about 2EDF==
== Factoids about 2edf ==
60/49 and 49/40 are [[Nearest just interval|good rational representations]] of the square root of 3/2.
60/49 and 49/40 are [[Nearest just interval|good rational representations]] of the square root of 3/2.


2EDF is closely related to the [[Breedsmic temperaments|hemififths temperament]], which tempers out 2401/2400 and 5120/5103 in the 7-limit.
2edf's step size is close to the generator of the [[hemififths]] temperament, which tempers out 2401/2400 and 5120/5103 in the 7-limit.


== Intervals ==
== Intervals ==
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! Cents
! Cents
|-
|-
|1
| 1
|350.98
| 350.98
|-
|-
|2
| 2
|701.96
| 701.96
|}
|}


[[Category:Edf]]
[[Category:Edf]]
[[Category:Edonoi]]
[[Category:Edonoi]]

Revision as of 13:33, 12 April 2022

2edf, if the attempt is made to use it as an actual scale, would divide the just perfect fifth into two equal parts, each of size 350.9775 cents, which is to say sqrt (3/2) as a frequency ratio. It corresponds to 3.4190 edo. If we want to consider it to be a temperament, it tempers out 6/5, 9/7, 32/27, and 81/80 in the patent val.

Factoids about 2edf

60/49 and 49/40 are good rational representations of the square root of 3/2.

2edf's step size is close to the generator of the hemififths temperament, which tempers out 2401/2400 and 5120/5103 in the 7-limit.

Intervals

# Cents
1 350.98
2 701.96