Young Temperament

Young temperament is a well temperament devised by Thomas Young, which he included in a letter to the Royal Society of London written July 9, 1799. It was read January 16, 1800 and included in the Society's Philosophical Transactions published that year.

Before closing, Young outlined a practical method to "make the harmony most perfect in those keys which are the most frequently used," by tuning upwards from C a sequence of six pure fourths, as well as "six equally imperfect fifths," in other words six progressively purer flat fifths. His goal was to give better major thirds in more commonly used keys, but to not have any unplayable keys. So in this system, the third C-E is only 1⁄4 of a comma (about 5 cents) wide ( Play) from just while the widest third is one syntonic comma too wide (about 21 cents Play). (A just major third is a perfect 5:4 ratio which is about 386 cents. Play) The thirds get wider as one moves around the circle of fifths like so:

Major third Deviation from just
C-E 5 cents wide
G-B, F-A 8 cents wide
B♭-D, D-F♯ 10 cents wide
E♭-G, A-C♯ 14 cents wide
A♭-C, E-G♯ 18 cents wide
D♭-F, B-D♯ 20 cents wide
G♭-B♭ 21 cents wide

The difference between twelve-tone equal temperament and Young's temperament rounded to the nearest cent is as follows:

Note Difference
A 0
B♭ +6
B -2
C +6
C♯ 0
D +2
E♭ +4
E -2
F +6
F♯ -2
G +4
G♯ +2

In 1801 Young changed the tuning of E♭, which is included in the temperament published in the collection of his lectures in 1807.

For a more complete investigation of Young's temperament, see Jorgensen, pp. 251–265.

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