Just Hammond: Difference between revisions

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Table 1: Pairings of Gearwheels<ref>Gearing details were taken from http://www.goodeveca.net/RotorOrgan/ToneWheelSpec.html (retrieved Dec 29, 2019)

Table 1: Pairings of Gearwheels<ref>Gearing details were taken from http://www.goodeveca.net/RotorOrgan/ToneWheelSpec.html (retrieved Dec 29, 2019)

The German Wikipedia provides the same technical information (in German): https://de.wikipedia.org/wiki/Hammondorgel#Tonerzeugung (retrieved Dec 29, 2019)

The ''HammondWiki'' publishes a second, alternative set of gear ratios with slightly deviating pitch class “E”. Certain other pitch classes are shifted by pure octaves. http://www.dairiki.org/HammondWiki/GearRatio (retrieved Dec 29, 2019)</ref> / Ratios and Intervals

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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 nth octave contains 2n-1 pitches''.”

== 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):

Table 2: Mapping a single interval

The resulting interval appears between partial # 206 and partial # 275. The frequency ratio is (275:206), which equals 500.14 cents.

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-Table 1: Pairings of Gearwheels<ref>Gearing details were taken from http://www.goodeveca.net/RotorOrgan/ToneWheelSpec.html (retrieved Dec 29, 2019)
+<u>Table 1:</u> Pairings of Gearwheels<ref>Gearing details were taken from http://www.goodeveca.net/RotorOrgan/ToneWheelSpec.html (retrieved Dec 29, 2019)
 The German Wikipedia provides the same technical information (in German): https://de.wikipedia.org/wiki/Hammondorgel#Tonerzeugung (retrieved Dec 29, 2019)
 The ''HammondWiki'' publishes a second, alternative set of gear ratios with slightly deviating pitch class “E”. Certain other pitch classes are shifted by pure octaves. http://www.dairiki.org/HammondWiki/GearRatio (retrieved Dec 29, 2019)</ref> / Ratios and Intervals
@@ Line 214: / Line 214: @@
 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.):  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):
+<u>Table 2:</u> Mapping a single interval
+The resulting interval appears between partial # 206 and partial # 275. The frequency ratio is (275:206), which equals 500.14 cents.