Sound and Music: a Non-mathematical Treatise on the Physical Constitution of Musical Sounds and Harmony: Including the Chief Acoustical Discoveries of Professor Helmholtz |
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Page 63
... Minor Seventh . Thus , including the octave , the two scales together give us a series of eleven notes , which , severally com- bined with the tonic , form ten distinct intervals . They are expressed in musical notation as follows ...
... Minor Seventh . Thus , including the octave , the two scales together give us a series of eleven notes , which , severally com- bined with the tonic , form ten distinct intervals . They are expressed in musical notation as follows ...
Page 66
... Minor Third Major Third Fourth Fifth Minor Sixth Major Sixth Vibration - fraction . Character of interval . concord discord 1188 scho COD45 $ cola concord concord concord concord concord concord discord Major Seventh Octave 15 discord 8 ...
... Minor Third Major Third Fourth Fifth Minor Sixth Major Sixth Vibration - fraction . Character of interval . concord discord 1188 scho COD45 $ cola concord concord concord concord concord concord discord Major Seventh Octave 15 discord 8 ...
Page 172
... Minor Sixth can hardly be said to be defined at all , for clangs of ordinary quality , by coincidence of partial - tones . Its powerful ... Seventh . The first two need not be examined , 172 MINOR THIRD AND MINOR SIXTH . [ VIII . § 86 .
... Minor Sixth can hardly be said to be defined at all , for clangs of ordinary quality , by coincidence of partial - tones . Its powerful ... Seventh . The first two need not be examined , 172 MINOR THIRD AND MINOR SIXTH . [ VIII . § 86 .
Page 173
... Minor Seventh is constituted thus : It is the mildest of the discords , in fact , in actual smoothness it decidedly surpasses the Minor Sixth . 87. In order that the reader may see at a glance the whole result of this somewhat laborious ...
... Minor Seventh is constituted thus : It is the mildest of the discords , in fact , in actual smoothness it decidedly surpasses the Minor Sixth . 87. In order that the reader may see at a glance the whole result of this somewhat laborious ...
Page 182
... Minor Third nearly up to the Fifth , and from a little above the Fifth up to the Major Seventh , ought to sound equally smooth . This conclusion is probably very inconsistent with the views of musical theorists , who regard concord and ...
... Minor Third nearly up to the Fifth , and from a little above the Fifth up to the Major Seventh , ought to sound equally smooth . This conclusion is probably very inconsistent with the views of musical theorists , who regard concord and ...
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Common terms and phrases
absolute pitch Accordingly air-column amplitude beats Cambridge chapters chords clang cloth coincides College combination-tone complete vibration concord consonance and dissonance contains corresponding crest Crown 8vo direction disc discord dissonance distance Edition effect ELEMENTARY TREATISE equal temperament exactly examine fact Fifth follows fork forms of vibration Fourth fundamental tone give rise harmonium heard Helmholtz Hence higher human voice Illustrations instrument intensity inversion length level-line loudness lower major scale Major Third ment Minor Seventh Minor Sixth mode of vibration motion musical sound nodes notation obtained octave open pipe original overtones pair partial-tones particle pendulum pianoforte piston pitch position produced Professor prong rapid rarefaction resonance result scale shown simple tones single musical stopped pipe string student suppose swing Syren theory tion tonic Tonic Sol-Fa triads trough tube tuning tuning-fork unison ventral segments vibration-fraction vibration-number vibrations per second wave-form wave-length wires
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