The 5-limit just diatonic semitone is the [[superparticular]] interval 16/15 -- the difference between the major third [[5_4|5/4]] and the fourth [[4_3|4/3]], and between [[3_2|3/2]] and [[8_5|8/5]].
The 5-limit just diatonic semitone is the [[superparticular|superparticular]] interval 16/15 -- the difference between the major third [[5/4|5/4]] and the fourth [[4/3|4/3]], and between [[3/2|3/2]] and [[8/5|8/5]].
When this ratio is taken as a comma to be tempered, it produces [[father]] temperament, where 4/3 and 5/4 are equated. In this temperament, major thirds and fifths become octave-inverses of each other.</pre></div>
When this ratio is taken as a comma to be tempered, it produces [[Father|father]] temperament, where 4/3 and 5/4 are equated. In this temperament, major thirds and fifths become octave-inverses of each other.
The 5-limit just diatonic semitone is the <a class="wiki_link" href="/superparticular">superparticular</a> interval 16/15 -- the difference between the major third <a class="wiki_link" href="/5_4">5/4</a> and the fourth <a class="wiki_link" href="/4_3">4/3</a>, and between <a class="wiki_link" href="/3_2">3/2</a> and <a class="wiki_link" href="/8_5">8/5</a>.<br />
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When this ratio is taken as a comma to be tempered, it produces <a class="wiki_link" href="/father">father</a> temperament, where 4/3 and 5/4 are equated. In this temperament, major thirds and fifths become octave-inverses of each other.</body></html></pre></div>
The 5-limit just diatonic semitone is the superparticular interval 16/15 -- the difference between the major third 5/4 and the fourth 4/3, and between 3/2 and 8/5.
When this ratio is taken as a comma to be tempered, it produces father temperament, where 4/3 and 5/4 are equated. In this temperament, major thirds and fifths become octave-inverses of each other.