Yamaha HD-200 HD-200 Owners Manual - Page 24

Initializing, Error Messages, About the Preset Temperaments, Cent Value, log Pitch Ratio

Page 24 highlights

Initializing Hold down both the DATA ENTRY [+] and [-] buttons, and press the [STANDBY/ON] switch to turn on the power. "Memory is Initialized!" appears on the HARMONY display and all the settings are reset to the factory default values. Because initialization will erase all User Temperament and Metronome settings, it is recommended that you note down any settings on the Blank Chart on page 21. Error Messages If an error occurs, a message will appear on the display. Use the following chart to confirm the problem and find an appropriate solution. Message Low Battery ! Low Backup Battery ! Cause Battery power is low. The lithium backup battery power is low. Memory is Initialized ! Keyboard Error ! Keyboard Data Error ! There is an irregularity in the memory backup data. The instrument's data is reset to factory defaults. The keyboard may be malfunctioning. Solution Replace all batteries. Contact the dealer from whom you purchased the instrument and have the battery replaced. Contact the dealer from whom you purchased the instrument. Contact the dealer from whom you purchased the instrument. About the Preset Temperaments Calculating Pitch What is a Cent? A cent is a unit used to measure pitch that equals 1/100th of a semitone. Using cents to measure pitch, we can calculate the pitch using simple addition/subtraction rather than multiplication/division. For this reason, the cent is commonly used in music and acoustics as a standard for measuring pitch. 1200 (Cent Value) = log2 × log (Pitch Ratio) (Pitch Ratio) = 10 log2 1200 × (Cent Value) Temperaments Included in the HD-200 Equal Temperament In an equal temperament, the octave is divided into 12 equal steps (equal frequency ratios). The frequency ratio between neighboring notes is 12 2 (1.0594631). This temperament is usually tuned relative to a standard pitch of 440Hz. Pure Major This tuning preserves the pure mathematical intervals of the major scale, especially for the triad chords. This tuning includes pure fifths and thirds, both large and small interval whole tones, and chromatic scale semi-tones, so changing keys requires changing the pitch ratio of every note in the scale, making it impractical for keyboard or fretted instruments. Pure Minor Like the pure major, this tuning preserves the pure mathematical intervals of the minor scale. Changing keys also requires changing the pitch of every note in the scale, making it impractical for keyboard or fretted instruments. 19

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19
Initializing
Hold down both the DATA ENTRY
[+]
and
[-]
buttons, and press the
[STANDBY/ON]
switch to turn on the power.
“Memory is Initialized!” appears on the HARMONY display and all the settings are reset to the factory default values.
Because initialization will erase all User Temperament and Metronome settings, it is recommended that you note
down any settings on the Blank Chart on page 21.
If an error occurs, a message will appear on the display. Use the following chart to confirm the problem and find an
appropriate solution.
Calculating Pitch
What is a Cent?
A cent is a unit used to measure pitch that equals 1/100th of a semitone. Using cents to measure pitch, we can cal-
culate the pitch using simple addition/subtraction rather than multiplication/division. For this reason, the cent is
commonly used in music and acoustics as a standard for measuring pitch.
Temperaments Included in the HD-200
Equal Temperament
In an equal temperament, the octave is divided into 12 equal steps (equal frequency ratios).
The frequency ratio between neighboring notes is
(1.0594631). This temperament is
usually tuned relative to a standard pitch of 440Hz.
Pure Major
This tuning preserves the pure mathematical intervals of the major scale, especially for the
triad chords. This tuning includes pure fifths and thirds, both large and small interval whole
tones, and chromatic scale semi-tones, so changing keys requires changing the pitch ratio of
every note in the scale, making it impractical for keyboard or fretted instruments.
Pure Minor
Like the pure major, this tuning preserves the pure mathematical intervals of the minor
scale. Changing keys also requires changing the pitch of every note in the scale, making it
impractical for keyboard or fretted instruments.
Error Messages
Message
Cause
Solution
Low Battery !
Battery power is low.
Replace all batteries.
Low Backup Battery !
The lithium backup battery power is low.
Contact the dealer from whom you purchased
the instrument and have the battery replaced.
Memory is Initialized !
There is an irregularity in the memory
backup data.
The instrument’s data is reset to factory
defaults.
Contact the dealer from whom you purchased
the instrument.
Keyboard Error !
Keyboard Data Error !
The keyboard may be malfunctioning.
Contact the dealer from whom you purchased
the instrument.
About the Preset Temperaments
(Cent Value) =
1200
×
log (Pitch Ratio)
(Pitch Ratio) = 10
log2
×
(Cent Value)
log2
1200
12
2