26ed5: Difference between revisions
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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== Theory == | == 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'''. | 26ed5 is a weak tuning for [[prime limit]] tuning. It can instead be used as a strong tuning for the obscure [[subgroup]] '''5.6.12.22.32.34.41.44.46.49.53.56.59.63.67'''. | ||
One can also use any subset of that subgroup for example: | |||
* Only numbers below 40: '''5.6.12.22.32.34''' | |||
* Only numbers below 50: '''5.6.12.22.32.34.44.46.49''' | |||
* Only 5 and the composite numbers: '''5.6.12.22.32.34.44.46.49.53.56.63''' | |||
* Only 6 and the primes: '''5.6.41.59.67''' | |||
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. | 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. | ||
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| collapsed = 1 | | collapsed = 1 | ||
| start = 56 | | start = 56 | ||
| title = Harmonics 57 to | | title = Harmonics 57 to 68 (26ed5) | ||
| columns = 12 | |||
}} | }} | ||
== Intervals == | == Intervals == | ||
{{Interval table}} | {{Interval table}} | ||