144/143: Difference between revisions
mNo edit summary |
→Temperaments: more neutral tone |
||
| (3 intermediate revisions by 2 users not shown) | |||
| Line 5: | Line 5: | ||
}} | }} | ||
'''144/143''', the '''grossma''', is a [[13-limit]] [[small comma]]. It is the difference between the [[11/9]] and [[16/13]] neutral thirds, | '''144/143''', the '''grossma''', is a [[13-limit]] [[small comma]]. It is the difference between the [[11/9]] and [[16/13]] neutral thirds, between the [[12/11]] and [[13/12]] neutral seconds, and between the [[11/8]] and [[18/13]] superfourths/subtritones. Since it separates so many 2.3.11 and 2.3.13 intervals, the grossma is a very important interval in the 13-limit, with a function in the 2.3.11.13 subgroup akin to [[36/35]] in the 2.3.5.7 subgroup ([[7-limit]]), though the size of 144/143 is a quarter that of 36/35, so tempering it out is arguably more plausible. | ||
== Temperaments == | |||
A natural 2.3.11.13 temperament that extends it is [[namo]], which sets the equated undecimal and tridecimal intervals to true neutral intervals. Namo is often used to extend temperaments with neutral thirds to the 13-limit, such as [[hemififths]] and [[squares]]. | |||
[[Teff]] is a full 13-limit (and beyond) temperament of note that targets it, which also tempers out the syntonic comma [[81/80]]. | |||
== Sagittal notation == | == Sagittal notation == | ||