Just Hammond: Difference between revisions
Table 2 edited |
Table 2 edit |
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This numbering scheme is consistent with the scheme used by [[Bill Sethares]]<ref>Sethares, William A. ''Tuning Timbre Spectrum Scale.'' London: Springer Verlag , 1999.</ref> : “''In general, the n<sup>th</sup> octave contains 2<sup>n-1</sup> pitches''.” | This numbering scheme is consistent with the scheme used by [[Bill Sethares]]<ref>Sethares, William A. ''Tuning Timbre Spectrum Scale.'' London: Springer Verlag , 1999.</ref> : “''In general, the n<sup>th</sup> octave contains 2<sup>n-1</sup> pitches''.” | ||
== Mapping the Hammond’s Rational Intervals (cont.): | == Mapping the Hammond’s Rational Intervals (cont.): Examples == | ||
The following examples illustrate how to map intervals or chords to the harmonic series. In the first example we map the combination of a Hammond Organ’s note E and a higher note A (a fourth up): | The following examples illustrate how to map intervals or chords to the harmonic series. In the first example we map the combination of a Hammond Organ’s note E and a higher note A (a fourth up): | ||
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{| class="wikitable" | {| class="wikitable" | ||
! rowspan="3" style="text-align: center;" | Pitch<br> | ! rowspan="3" style="text-align: center;" | | ||
<br><br><br>Pitch<br> | |||
Class | Class | ||
! colspan="2" style="text-align: center;" | | ! colspan="2" style="text-align: center;" | | ||
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|} | |} | ||
The resulting interval appears between partial # 206 and partial # 275. The frequency ratio is (275:206), which equals 500.14 cents. | The resulting interval E-A appears between partial # 206 and partial # 275.<br> | ||
The frequency ratio is (275:206), which equals 500.14 cents. | |||