Father: Difference between revisions

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{{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]].

~~As an exotemperament, there are a variety of acceptable tunings for father, ranging from roughly 720¢ to 800¢. However, since the~~ main interest in ~~an exotemperament~~ is ~~usually~~ its [[mos scale]]s, [[3L 2s|antipentic (3L 2s)]] and [[5L 3s|oneirotonic (5L 3s)]] are often chosen first, and only later is each step associated with a ratio consistent with this temperament~~; this means that the most common tunings of father are between 720 and 750 cents~~. A potential reason to choose ~~father as a~~ temperament is to equate suspended chords and more conventional tertian chords (though options like [[~~Trienstonic clan|trienstonic~~]] (4/3~9/7), [[blackwood]] (4/3~81/64), and [[fendo]] (4/3~13/10) are more accurate).

The main interest in this temperament is its [[mos scale]]s, as [[3L 2s|antipentic (3L 2s)]] and [[5L 3s|oneirotonic (5L 3s)]] are often chosen first, and only later is each step associated with a ratio consistent with this temperament. Another potential reason to choose this temperament is to equate suspended chords and more conventional tertian chords (though options like [[trienstonian]] (4/3~9/7), [[blackwood]] (4/3~81/64), and [[fendo]] (4/3~13/10) are more accurate).

~~See~~ [[~~Father family #Father~~]] and [[~~Trienstonic clan~~ #Father]] for technical details.

As an exotemperament, it has a large range of acceptable tunings, from roughly [[5edo|3\5]] (720{{c}}) to [[3edo|2\3]] (800{{c}}). However, only tunings between 3\5 and [[8edo|5\8]] (750{{c}}) generate oneirotonic scales.

See [[Father family #Father]] for technical details.

== Interval chain ==

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{| class="wikitable center-1 right-2"

|-

! &#~~35;~~ !! Cents* !! Approximate ~~Ratios~~

! # !! Cents* !! Approximate ratios

|-

| 0 || 0.0 || '''1/1'''

@@ Line 1: / Line 1: @@
 {{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]].
-As an exotemperament, there are a variety of acceptable tunings for father, ranging from roughly 720¢ to 800¢. However, since the main interest in an exotemperament is usually its [[mos scale]]s, [[3L 2s|antipentic (3L 2s)]] and [[5L 3s|oneirotonic (5L 3s)]] are often chosen first, and only later is each step associated with a ratio consistent with this temperament; this means that the most common tunings of father are between 720 and 750 cents. A potential reason to choose father as a temperament is to equate suspended chords and more conventional tertian chords (though options like [[Trienstonic clan|trienstonic]] (4/3~9/7), [[blackwood]] (4/3~81/64), and [[fendo]] (4/3~13/10) are more accurate).
+The main interest in this temperament is its [[mos scale]]s, as [[3L 2s|antipentic (3L 2s)]] and [[5L 3s|oneirotonic (5L 3s)]] are often chosen first, and only later is each step associated with a ratio consistent with this temperament. Another potential reason to choose this temperament is to equate suspended chords and more conventional tertian chords (though options like [[trienstonian]] (4/3~9/7), [[blackwood]] (4/3~81/64), and [[fendo]] (4/3~13/10) are more accurate).
-See [[Father family #Father]] and [[Trienstonic clan #Father]] for technical details.
+As an exotemperament, it has a large range of acceptable tunings, from roughly [[5edo|3\5]] (720{{c}}) to [[3edo|2\3]] (800{{c}}). However, only tunings between 3\5 and [[8edo|5\8]] (750{{c}}) generate oneirotonic scales.
+See [[Father family #Father]] for technical details.
 == Interval chain ==
@@ Line 12: / Line 14: @@
 {| class="wikitable center-1 right-2"
 |-
-! &#35; !! Cents* !! Approximate Ratios
+! # !! Cents* !! Approximate ratios
 |-
 | 0 || 0.0 || '''1/1'''