26ed5: Difference between revisions

BudjarnLambeth (talk | contribs)
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BudjarnLambeth (talk | contribs)
m Refocus on integer harmonics. This caused many tables to be added back but integers not primes now so the numbers aren’t ridiculous (aren’t in the hundreds)
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{{ED intro}}
{{ED intro}}


26ed5 is a strong tuning for the obscure [[subgroup]] '''5.6.41.67.97'''.
== Theory ==
26ed5 is a weak tuning for [[prime limit]] tuning. It can instead be used as a strong tuning for the obscure [[subgroup]] '''5.6.12.22.32.34.41.44.46.49.53.56.59.63'''.


Less esoterically, it can be used as a low-accuracy tuning for the more practical subgroup '''5.6.11.17.41'''. Most of these harmonics are tuned sharp, so 26ed5 can be made to work better by [[Octave stretch|compressing]] 26ed5’s [[equave]], making [[5/1]] slightly flat but the other harmonics more in-tune. This can elevate 26ed5 from poor to pretty decent.
Many of 26ed5’s 'near-miss' [[prime]]s are tuned sharp, so 26ed5 can be made to work more normally by [[Octave stretch|compressing]] 26ed5’s [[equave]], making [[5/1]] slightly flat but still okay and the other primes more in-tune.


== Intervals ==
=== Harmonics ===
{{Interval table}}
 
== Harmonics ==
{{Harmonics in equal
{{Harmonics in equal
| steps = 26
| steps = 26
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| intervals = integer
| intervals = integer
| start = 1
| start = 1
| title = Harmonics 2 to 12 (26ed5)
}}
}}
{{Harmonics in equal
{{Harmonics in equal
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| num = 5
| num = 5
| denom = 1
| denom = 1
| intervals = prime
| intervals = integer
| start = 5
| collapsed = 1
| collapsed = 1
| start = 12
| title = Harmonics 13 to 23 (26ed5)
}}
}}
{{Harmonics in equal
{{Harmonics in equal
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| num = 5
| num = 5
| denom = 1
| denom = 1
| intervals = prime
| intervals = integer
| start = 17
| collapsed = 1
| collapsed = 1
| columns = 10
| start = 23
| title = Harmonics 24 to 34 (26ed5)
}}
}}
{{Harmonics in equal
| steps = 26
| num = 5
| denom = 1
| intervals = integer
| collapsed = 1
| start = 34
| title = Harmonics 35 to 45 (26ed5)
}}
{{Harmonics in equal
| steps = 26
| num = 5
| denom = 1
| intervals = integer
| collapsed = 1
| start = 45
| title = Harmonics 46 to 56 (26ed5)
}}
{{Harmonics in equal
| steps = 26
| num = 5
| denom = 1
| intervals = integer
| collapsed = 1
| start = 56
| title = Harmonics 57 to 67 (26ed5)
}}
== Intervals ==
{{Interval table}}