Diaschismic–gothmic equivalence continuum: Difference between revisions
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increasing towards infinity |
||
| Line 16: | Line 16: | ||
! Monzo | ! Monzo | ||
|- | |- | ||
| | | 4 | ||
| 0 | | 0 | ||
| [[Gothic]] | |||
| [[ | | [[134217728/129140163]] | ||
| [[ | | {{monzo| 27 -17}} | ||
| {{monzo| 17 | |||
|- | |- | ||
| 3 | |||
| 1 | | 1 | ||
| [[Immunity]] | |||
| [[ | | [[1638400/1594323]] | ||
| [[ | | {{monzo| 16 -13 2}} | ||
| {{monzo| - | |||
|- | |- | ||
| 2 | | 2 | ||
| Line 46: | Line 34: | ||
| {{monzo| 5 -9 4}} | | {{monzo| 5 -9 4}} | ||
|- | |- | ||
| 1 | |||
| 3 | | 3 | ||
| [[Hanson_and_cata|Hanson/Kleismic]] | |||
| [[ | | [[15625/15552]] | ||
| [[ | | {{monzo| -6 -5 6}} | ||
| {{monzo| | |||
|- | |- | ||
| 0 | |||
| 4 | | 4 | ||
| | | [[Würschmidt_family#W.C3.BCrschmidt|Wurschmidt]] | ||
| [[ | | [[393216/390625]] | ||
| [[ | | {{monzo| 17 1 -8}} | ||
| {{monzo| | |- | ||
| -1 | |||
| 5 | |||
| [[Mabila_family#Mabila|Mabila]] | |||
| 268435456/263671875 | |||
| {{monzo| 28 -3 -10}} | |||
|- | |||
| -2 | |||
| 6 | |||
| [[User:Userminusone/Goldis_comma|Goldis]] | |||
| 549755813888/533935546875 | |||
| {{monzo| 39 -7 -12}} | |||
|- | |- | ||
| … | | … | ||
| Line 65: | Line 65: | ||
|- | |- | ||
| ∞ | | ∞ | ||
| ∞ | | ∞* | ||
| [[Diaschismic_family#Srutal_aka_diaschismic|Srutal]] | | [[Diaschismic_family#Srutal_aka_diaschismic|Srutal]] | ||
| [[2048/2025]] | | [[2048/2025]] | ||
| {{monzo| 11 -4 -2}} | | {{monzo| 11 -4 -2}} | ||
|} | |} | ||
: <nowiki>*</nowiki> in projective tuning space, ∞ = -∞. | |||
We may invert the continuum by setting ''n'' such that 1/''n'' - 1/''m'' = 1. The just value of ''m'' is 1.4117…, and temperaments near this tend to be the most accurate ones. | We may invert the continuum by setting ''n'' such that 1/''n'' - 1/''m'' = 1. The just value of ''m'' is 1.4117…, and temperaments near this tend to be the most accurate ones. | ||