1/1

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Interval information
Ratio 1/1
Factorization n/a
Monzo [0
Size in cents
Names (perfect) unison,
(perfect) prime,
1st harmonic,
1st subharmonic,
fundamental
Color name w1, wa unison
FJS name [math]\displaystyle{ \text{P1} }[/math]
Special properties reduced,
harmonic,
highly composite harmonic
Tenney norm (log2 nd) 0
Weil norm (log2 max(n, d)) 0
Wilson norm (sopfr(nd)) 0
Open this interval in xen-calc

The unison (interval ratio 1/1) is the interval between two tones that are identical in pitch. In the harmonic series, 1/1 is the 1st harmonic, and likewise in the subharmonic series 1/1 is the first subharmonic – this is because it acts as the fundamental to both series.

Measured in cents (or any other logarithmic measure such as octaves, edosteps, etc.), the unison's size is exactly 0. This is because the distance between two identical pitches is zero. As such, the unison can be considered as a degenerate interval.

In just intonation, 1/1 represents the base frequency from which an interval is measured.

In any temperament, any comma tempered out by that temperament is equated with 1/1, and thus intervals that differ by that comma in JI become equal in that temperament. For example, meantone sends 81/80 to the unison, and thus 81/64 and 5/4, which differ by 81/80 in JI, are equated to the same interval.

As an interval region

←  Unison Comma and diesis →
Name Unison
Lower bound
Upper bound 0¢ – 6¢
Example JI intervals
Intervals 1/1 (0¢)
Related regions
Complement Octave
English Wikipedia has an article on:

As an interval region, the unison usually refers precisely to the 0-cent interval. However, there can be a tiny difference between any two intervals that are practically "the same note" (more pedantically, an extremely small comma), that might be considered a "unison" (or at least too small to be a meaningful interval). This range usually goes up to 3.5 cents, as that is the just-noticeable difference.

In some practices, this bound goes up to about 6 cents, which is the most precisely one is expected to intonate a pitch on certain instruments, and is a bit smaller than a kleisma (hence the kleisma's significance in the context of intonation).

As a diatonic interval category, unisons represent subchromatic motions – i.e. the difference between a note and itself (though perhaps in a different tuning or using a non-diatonic accidental, though that's more generally covered by comma and diesis). Every note in every scale has a unison, which is that note itself.

In functional harmony, the unison over the root serves as the tonic.

See also