quintate
The set of the series of integers that occur between a multiple of five and the next (exclusive of those multiples).
rare
We have as variations for the numbers from 6 to 9, 6 = X + 1…, 7 = X + 2, etc.,…the numerals of the second quintate repeating without the use of the expressed base five.
Where it comes from
First attested in verbal use in 1812, in adjectival use in 1851, and in nominal use in 1889; from the Classical Latin quīntus (“fifth”); in the verbal sense after decimate, and in the botanic senses by mistaken analogy with ternate.
Adapted from the Wiktionary entry quintate (CC BY-SA 4.0).