Ramsay
"These three combinations of the three primary ratios, when taken together with 1 as unity, produce ten different quantities and motions - 1, 2, 3, 5, 6, 9, 15, 18, 27, and 45; and by producing the octaves of these primes and products, dividing by 4 for the quantities, and multiplying by 2 for the motions2 up to 64, we have 15 additional quantities and motions - 4, 8, 10, 12, 16, 20, 24, 30, 32, 36, 40, 48, 54, 60, and 64." [Scientific Basis and Build of Music, page 16]
The simplest condition of quantities and motions is in a string where half the length is double the vibrations. Next in the order of simplicity is a [Scientific Basis and Build of Music, page 79]
See Also
amplitude
Distance
first comparison and combination of quantities
first condition in the first ratio
first condition in the third ratio
first condition of the second ratio
Frequency
Law of Relativity of Force
laws of quantities and motions
Motion
Number
order of quantities
Period
quantities and motions
quantities
Ratio
relative quantities
three primary ratios
Time
unit of quantities
Unit