DH_HzToVoltage [Latest 2022]

This module generates a control voltage with respect to the logarithmic scale of the input, in a range from 0 to 60 volts. This module generates a voltage with a linear logarithmic function of the input frequency, using the formula:
V = ( log( f ) – log( 440 ) ) / log( 2 ) + 5
For example, when the input frequency is 5.16 Hz and the output is 5.00 volts, the module generates a control voltage of 0.16 volts, as follows:
Log( 5.16 ) – Log( 440 ) = 0.16
Log( 2 ) x 0.16 = 0.16
5 + 0.16 = 5.16
Note:
The table below lists the voltage for different input frequencies, and the corresponding frequency in Hz.
Input Frequency Volts Out (Hz)
______________________________________
0.00 0.00 (0.00)
0.01 0.04 (0.05)
0.02 0.09 (0.15)
0.03 0.20 (0.40)
0.04 0.51 (1.00)
0.05 1.31 (2.60)
0.06 3.95 (7.35)
0.08 10.83 (19.20)
0.10 29.97 (57.80)
0.12 81.96 (158.40)
0.14 224.04 (368.80)
0.16 458.05 (735.60)
0.18 924.09 (1470.00)
0.20 1966.04 (2920.00)
0.22 3862.07 (5705.20)
0.24 7796.11 (12080.00)
0.26 15498.15 (25040.00)
0.28 31232.19 (50000.00)
0.30 60468.24 (100000.00)
0.32 104496.28 (160000.00)
0.34 204580.33 (300000.00)
0.36 408600.41 (500000.00)
0.38 818240.46 (1000000.00)
0.40 1624760.51 (1600000.00)
0.42 3250400.55 (

————————————————————————————–
Module Author: Ingo Voss
Date: 2004, 12
Available: V1.1
Version: 1.1
Commit by: Ingo Voss
URL:
Version History:
Updated – hardware to working order – v1.1
Updated – theory
(Added explanation of how I solved the theory)
Removed examples – removed due to Internet bandwidth limitations

Directions:
This is a module that has a control voltage corresponding to a input frequency. The
voltage of this control voltage can be set to any value between 0 and 1. I chose 5
in this module.
The way this is used in my own software is that if I set the voltage to 0.5, this
means that the output of this synth will be the same as if I set the voltage to 0
and the output to the same as if I set the voltage to 1.

How this works:
This module uses the formula:

V = ( log( f ) – log( 440 ) ) / log( 2 ) + 5

We have log(2) = 5.3307.
log(f) is the output of the synth in volts.
log(440) is the base frequency of this synth in Hz.
The input frequency is f.
If f is given in Hz we divide this by the base frequency and multiply by 2 to convert
it into a frequency in Hz.
The output voltage of this synth is:

log( f ) – log( 440 )

We know log(2) = 5.3307 and we can replace it with 2.6953.
The result is f – 440 = f – 2.6953 * 440 = 0.3307 * f
If we now use the formula above the voltage that we will have is:

V = ( log( 0.3307 * f ) – log( 5 ) ) / log( 2 ) + 5

We can now replace log( f ) with f because we’re taking logarithms of 0.3307 * f.
2f7fe94e24

Frequency in Hz
Output voltage in volts

Data in/Out

Data Inputs:
(1) Hz in – Input frequency in Hz
The frequency in Hz is represented as an integer between 0 and 99,999
(2) Volts out – Control voltage in volts
The control voltage corresponds to the frequency.

The control voltage depends on the power of the next (following) integer.
The control voltage is scaled in millivolts for any integer between 1 and 99,999.
Thus,
for any frequency input, you have a control voltage output between 0 and 99,999.

Voltage in – Volt output when Hz = 0

Notice that when the input is 0, the Vout is also 0.

Operation:

1) Reset all control voltages to 5

2) Setup the following control voltages as desired:

Number of voltages
-1

Voltages
-1

Voltages
Voltage

Voltages
Voltage

3) When the input frequency is not 0, calculate the next control voltage.
The next control voltage is then used to control the voltage.
The following formula is used.
Notice how the input frequency is raised to the second power.

V = ( log( f ) – log( 440 ) ) / log( 2 ) + Vout_O

V = ( 2n^2 f ) / 440 + Vout_O

Vout = ( V * 440 / 2n ) + Vout_O

Vout = ( n^2 * f ) / 440 + Vout_O

Vout = ( f^2 / 440 ) + Vout_O

Vout = ( f^2 / 440 ) + Vout_O

Vout = ( f^2 ) / ( 2^( Vout_O ) )

Vout = ( f^2 ) / ( 2^( Vout_O ) )

Vout = ( f^2 ) / ( 2^1 ) = f

Vout = ( f^2 ) / ( 2^( Vout_O ) )

Vout = ( f ) * ( f ) / ( 2^( Vout_O ) )

Vout = f * f / ( 2^

This module converts a frequency in Hz to the SE volt/octave scale with 440 Hz = 5 volts, using the above formula. The formula is:
V = ( log( f ) – log( 440 ) ) / log( 2 ) + 5
An input of 0.09 results in a control voltage of 0.11, the nearest number on the 5 volt scale to 0.09, and it is assumed that the 0.09 = 0.11. This means that the control voltage always increases as the input frequency increases.
Options:
If the input is the name of a file, this gives the name of the file.
If the input is the decimal or hex equivalent of a file, this gives the decimal or hex equivalent.
If the input is an input into the VV page, this gives the value of the input.
If the input is a function in the pattern editor, this returns the function.
If the input is an offset, this gives the offset.
Note that when the offset is a negative number it must be subtracted from the minimum frequency before converting the frequency.

This module is for version 0.98 and 0.99 of SynthEdit. It has been tested with version 0.99. If you have problems with 0.98, you should upgrade.
The module uses the v-to-v input method.
This page was last updated on: 26/11/2001
Version 0.99
30/11/2001
0.99
Updated to v0.99
13/11/2001
Version 0.98
01/11/2001
0.98
Updated to v0.98
29/10/2001
Version 0.09
18/10/2001
0.09
Fixed bug that sometimes gave an input of 0.1
Fixed input so that it is correctly treated if log(440) has a fractional part
or log(440) is off by 1.
This module works fine for the default settings, but if you wish to make any changes you have to go to the top menu and edit your preferences. Otherwise you may get an error message if you try to use the module. See the instructions below.
See the instructions below for using the Preferences Dialog.
See the introduction to this page for details of how the module works and what it does.
Instructions:
1. Save the file in the directory where you have installed SynthEdit

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