Father: Difference between revisions
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{{About|the regular temperament|the scale structure sometimes associated with it|5L 3s}} | {{About|the regular temperament|the scale structure sometimes associated with it|5L 3s}} | ||
'''Father''' is a very coarse, simplistic and inaccurate [[exotemperament]]. It [[Tempering out|tempers out]] [[16/15]], the classical diatonic semitone. This means the [[5/4|classical major third (5/4)]] is conflated with the [[4/3|perfect fourth (4/3)]], making it one that challenges the very notion of JI approximation, and playing harmony in it, it sounds only remotely reminiscent of the [[5-limit]] no matter how it is tuned. If one could get their head around this way of hearing intervals, they may as well take a look at the 7-limit interpretation, where it tempers out [[28/27]] and [[36/35]]. | '''Father''' is a very coarse, simplistic, and inaccurate [[exotemperament]]. It [[Tempering out|tempers out]] [[16/15]], the classical diatonic semitone. This means the [[5/4|classical major third (5/4)]] is conflated with the [[4/3|perfect fourth (4/3)]], making it one that challenges the very notion of JI approximation, and playing harmony in it, it sounds only remotely reminiscent of the [[5-limit]] no matter how it is tuned. If one could get their head around this way of hearing intervals, they may as well take a look at the 7-limit interpretation, where it tempers out [[28/27]] and [[36/35]]. | ||
The main interest in this temperament is in its [[mos scale]]s, featuring [[3L 2s|antipentic (3L 2s)]] and [[5L 3s|oneirotonic (5L 3s)]] when properly tuned. It is likely the case that those scales are often chosen first, and only later is each step associated with a ratio consistent with this temperament. | The main interest in this temperament is in its [[mos scale]]s, featuring [[3L 2s|antipentic (3L 2s)]] and [[5L 3s|oneirotonic (5L 3s)]] when properly tuned. It is likely the case that those scales are often chosen first, and only later is each step associated with a ratio consistent with this temperament. | ||
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{| class="wikitable center-1 right-2" | {| class="wikitable center-1 right-2" | ||
! # !! Cents* !! Approximate Ratios | |||
! # !! Cents* !! Approximate Ratios | |||
|- | |- | ||
| 0 || 0.0 || '''1/1''' | | 0 || 0.0 || '''1/1''' | ||
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| 4 || 511.4 || 7/5 | | 4 || 511.4 || 7/5 | ||
|} | |} | ||
<nowiki>* | <nowiki />* In 7-limit CTE tuning | ||
== Tunings == | == Tunings == | ||
=== Tuning spectrum === | === Tuning spectrum === | ||
{| class="wikitable center-all left-4" | {| class="wikitable center-all left-4" | ||
! Edo<br />Generator !! Eigenmonzo<br />(Unchanged-interval)* !! Generator (¢) !! Comments | |||
! Edo<br>Generator !! Eigenmonzo<br>(Unchanged-interval)* !! Generator (¢) !! Comments | |||
|- | |- | ||
| 1\2 || || 600.0 || Lower bound of 5-odd-limit diamond monotone | | 1\2 || || 600.0 || Lower bound of 5-odd-limit diamond monotone | ||
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| || 5/4 || 813.7 || Full-comma | | || 5/4 || 813.7 || Full-comma | ||
|} | |} | ||
<nowiki>* | <nowiki />* Besides the octave | ||
[[Category:Temperaments]] | [[Category:Temperaments]] | ||
[[Category:Father| ]] <!-- | [[Category:Father| ]] <!-- Main article --> | ||
[[Category:Father family]] | [[Category:Father family]] | ||
[[Category:Trienstonic clan]] | [[Category:Trienstonic clan]] | ||
[[Category:Mint temperaments]] | [[Category:Mint temperaments]] | ||