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The following passages are taken from the chapter 'Music Theory Basics' which is part of the Help Functions of the program JazzTrainerAS®
Natural note series
Western music is based on a series of 7 degrees per octave - the so called natural note series.These notes are given the names of the first 7 letters of the alphabet: A, B, C, D, E, F and G.
The steps from one degree to another, however, are not equal in size, there are in fact two step sizes:
Whole-steps : between C-D, D-E, F-G, G-A, A-B.
Half-steps : between E-F, B-C.
A whole-step equals 2 half-steps. 12 half-steps make up an octave. The natural note series forms a specific pattern of whole- and half-steps by which the ear orientates itself.
Intervals
The difference in pitch between two notes sounded either simultaneously or successively is referred to as an interval and indicated in numerals. In order to determine the interval between two notes, the natural notes that are involved are added up - the two mentioned and all those in between.
Neighboring natural notes thus result in 2 as a number, as there are no further notes in between. The interval name is Second; in this program we often write it as 2nd or [2]. As stated above, the steps between neighboring natural notes are not equal in size, which means that there must be two kinds of 2nd intervals:
Major 2nd [2] - 2 half-steps; between C-D, D-E, F-G, G-A, A-B.
Minor 2nd [b2] - 1 half-step; between E-F, B-C.
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