**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 motions^{2} 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**