Marvel–sensamagic equivalence continuum: Difference between revisions
Created page with "{{Mathematical interest}} The '''marvel–sensamagic equivalence continuum''' is a continuum of 7-limit temperament families which equate a number of marvel commas (225/224) with a sensamagic comma (245/243). This continuum is theoretically interesting in that these are all 7-limit temperament families supported by septimal magic temperament. All temperaments in the continuum satisfy {{..." Tags: Mobile edit Mobile web edit |
Move breeze to misc. 7-limit temps |
||
| (2 intermediate revisions by one other user not shown) | |||
| Line 16: | Line 16: | ||
|- | |- | ||
| −4 | | −4 | ||
| | | 19 & 41 & 141 | ||
| [[52734375/51380224]] | | [[52734375/51380224]] | ||
| {{Monzo| -20 3 9 -2 }} | | {{Monzo| -20 3 9 -2 }} | ||
|- | |- | ||
| −3 | | −3 | ||
| 19 & | | 19 & 41 & 69 | ||
| [[234375/229376]] | | [[234375/229376]] | ||
| {{Monzo| -15 1 7 -1 }} | | {{Monzo| -15 1 7 -1 }} | ||
| Line 75: | Line 75: | ||
* 19 & 41 & 42bc ({{nowrap|''n'' {{=}} −{{frac|3|2}} {{=}} −1.5}}) | * 19 & 41 & 42bc ({{nowrap|''n'' {{=}} −{{frac|3|2}} {{=}} −1.5}}) | ||
* 19 & 41 & 42 ({{nowrap|''n'' {{=}} −{{frac|1|2}} {{=}} −0.5}}) | * 19 & 41 & 42 ({{nowrap|''n'' {{=}} −{{frac|1|2}} {{=}} −0.5}}) | ||
* | * [[septimagic]] ({{nowrap|''n'' {{=}} {{frac|1|2}} {{=}} 0.5}}) | ||
* | * [[acromagic]] ({{nowrap|''n'' {{=}} {{frac|3|2}} {{=}} 1.5}}) | ||
* 19 & 41 & 359 ({{nowrap|''n'' {{=}} {{frac|5|3}} {{=}} 1.666…}}) | * 19 & 41 & 359 ({{nowrap|''n'' {{=}} {{frac|5|3}} {{=}} 1.666…}}) | ||
* 19 & 41 & 511 ({{nowrap|''n'' {{=}} {{frac|7|4}} {{=}} 1.75}}) | * 19 & 41 & 511 ({{nowrap|''n'' {{=}} {{frac|7|4}} {{=}} 1.75}}) | ||
== 19 & 41 & 69 == | |||
[[Comma list]]: 234375/229376 | |||
{{Mapping|legend=1| 1 0 0 -15 | 0 1 0 1 | 0 0 1 7 }} | |||
[[Optimal tuning]]s: | |||
* [[WE]]: ~2 = 1201.118¢, ~3 = 1901.764¢, ~5 = 2783.489¢ | |||
* [[CWE]]: ~2 = 1200.000¢, ~3 = 1900.566¢, ~5 = 2780.998¢ | |||
{{Optimal ET sequence|legend=1| 3d, 6b, 9d, 13, 16d, 19, 22, 41 }} | |||
[[Badness]] (Sintel): 16.808 | |||
[[Category:Magic]] | [[Category:Magic]] | ||
[[Category:Equivalence continua]] | [[Category:Equivalence continua]] | ||