12 Henricus Grammateus

For a general introduction to European historical tunings and these presets, please visit Introduction to European historical tunings and temperaments.

About this tuning

Tempered 12-tone scale, an early example of "equal beatingWhen two tones are very close together, they create a rhythmic pulsing related to the difference in frequency between the two tones. The closer the frequencies are to each other, the slower the tempo of the beating.Visit the link to learn more" temperament, in which the wolfA wolf refers to a noticeably out-of-tune interval in a given tuning system that results from adjusting or "tempering" that interval to fit within a fixed number of notes.Visit the link to learn more is divided across two fifthsPitches a fifth apart have a 2:3 frequency ratio (in just intonation) or a difference of 700 cents (in 12 tone equal temperament).Visit the link to learn more, B-F♯ and D♯-B♭. Each is made narrow by about 1/2 a PythagoreanPythagorean tuning is an approach to tuning based on stacking pure fifths (i.e. fifths with an exact frequency ratio of 2:3).Visit the link to learn more commaA comma is a small difference in pitch between the same interval in different tuning systems.Visit the link to learn more, so that the intervalAn interval is the distance between two pitches. It can be measured as a ratio between their frequencies or in cents.Visit the link to learn more D-F♯ and the interval F♯-B beat at an equal speed. All other fifths (B♭-B and F♯-D♯) are tuned in 2:3 proportion.

Learning more

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