36/35: Difference between revisions

The '''septimal quarter tone''' (ratio: 36/35, size: 48.77038 [[cent|cents]]) is the difference between [[10/9]] and [[8/7]], [[7/6]] and [[6/5]], [[5/4]] and [[9/7]], [[14/9]] and [[8/5]], [[5/3]] and [[12/7]], and [[7/4]] and [[9/5]]. It has a numerator which is both the sixth square number and the eighth [[triangular number]], leading to it being the product of two [[superparticular]] commas both as [[64/63]] * [[81/80]] and as [[66/65]] * [[78/77]]; it is also [[45/44]] * [[176/175]], [[51/50]] * [[120/119]] and [[128/125]] * [[225/224]].