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The size of these is described by a "conventional" fraction that has no mathematical significance. For example, a 7/8 violin has a scale of about 317 mm, a 3/4-size instrument a scale of 307 mm, a half-size one 287 mm, and a quarter-size one 267 mm. 1/8, 1/10, 1/16 and 1/32 and even 1/64 violins also exist, becoming progressively smaller, but ...
A mandolin (Italian: mandolino, pronounced [mandoˈliːno]; literally "small mandola") is a stringed musical instrument in the lute family and is generally plucked with a pick.
The octave mandolin (US and Canada) or octave mandola (Ireland and UK) is a fretted string instrument with four pairs of strings tuned in fifths, G−D−A−E (low to high). It is larger than the mandola , but smaller than the mandocello and its construction is similar to other instruments in the mandolin family.
The scale length is also within the standard mandolin scale; between 13 inches (330 mm) and 13 + 7 ⁄ 8 inches (350 mm). They advertised using scientific principles to create vibrations, power and volume as well as sustained sweet and mellow tones, all in the same instrument.
Musical instrument makers produced mandobasses in a variety of sizes and shapes. Gibson models were mostly a scaled-up version of the traditional "A" style mandolin (teardrop shaped), with the exception of their limited-edition "O. Pagani" model, which more closely resembled an orchestral double bass in shape.
321: Instruments in which the strings run in a plane parallel to the sound table 321.3: Instruments in which the string bearer is a plain handle (handle lutes) 321.32: Instrument in which the handle is attached to, or carved from, the resonator, like a neck (necked lutes) 321.321: Instrument whose body is shaped like a bowl (necked bowl lutes)