 ... the tonic, dominant, and supertonic are chosen for roots, is because the harmonics in nature rise in the same manner; first the harmonics of any given note, then those of its fifth or dominant, then those of the fifth of that dominant, being the second...  A Treatise on Harmony: With Exercises - Page ixby Joseph Humfrey Anger - 1919Full view - About this book
 | Alfred Day - Harmony - 1845 - 176 pages
...those of the fifth of that dominant, being the second or supertonic of the original note. The reason why the harmonics of the next fifth are not used is,...itself is not a note of the diatonic scale, being a little too sharp, (as the fifth of the supertonic,) and can only be used as a part of a chromatic chord.... | |
 | Music - 1879 - 786 pages
...those of the fifth of that dominant, being the second or eupertonic of the original note. The reason why the harmonics of the next fifth are not used,...itself is not a note of the diatonic scale, being a little too sharp, ae the fifth of the eupertonic, and can only be used aa part of a chromatic chord.'... | |
 | Sir George Grove - Music - 1879 - 802 pages
...those of the fifth of tha1, dominant, being the second or supertonic of tlie original note. The reason why the harmonics of the next fifth are not used, is because that nc-a itself is not a note of the diatonic scale, beinij a little too sharp, as the fifth of the supertoni;_... | |
 | George Grove - Music - 1880 - 778 pages
...those of the fifth of that dominant, being the second or supertonic of the original note. The reason why the harmonics of the next fifth are not used,...itself is not a note of the diatonic scale, being a little too sharp, as the fifth of the supertonic, and can only be used as part of a chromatic chord.'... | |
 | Alfred Day - Harmony - 1885 - 244 pages
...those of the fifth of that dominant, being the second or superfconic of the original note. The reason why the harmonics of the next fifth are not used is,...itself is not a note of the diatonic scale, being a little too sharp (as the fifth of the supertonic), and can only be used 'as a part of a chromatic chord.... | |
 | Music - 1890 - 790 pages
...those of the fifth of that dominant, being the second or supertonic of the original note. The reason why the harmonics of the next fifth are not used,...itself is not a note of the diatonic scale, being a little too sharp, as the fifth of the supertonic, and can only be used as part of a chromatic chord.'... | |
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