4.1.7. Overtone Sliders

An Overtone Slider is a visual tool that is laid over the spectrogram. A slider consists of lines that each represent a specific frequency. The distance between the lines corresponds to the harmonic series of a given fundamental. Overtone Sliders can be used to learn the harmonic series for each tone, and to analyze the harmonic content of a recording. They can also be used to transcribe the notes in a recording. Another use is to illustrate the role of overtones for composition and music theory. Overtone Sliders may also be called Note Sliders, depending on the context of use.

Main elements of Overtone Sliders

The following image shows an Overtone Slider with four harmonics, where the fundamental frequency is 110 Hz. On the piano, this would be an A. Each harmonic has a frequency that is a multiple of the fundamental. Therefore, the second harmonic has a frequency of 2*110 Hz = 220 Hz, the third one 330 Hz, and so on.

Main elements of Overtone Sliders

Figure 4.17. Main elements of Overtone Sliders


The image also shows the basic elements of the slider, including the controls that you can use to manipulate an Overtone Slider with the mouse:

Slider Labels

The labels show the number of the harmonic, and optionally the note name and frequency. This appearance can be adjusted on the Note Sliders dialog, and on the toolbar.

You can click on Labels to play them. The instrument used for playing them can be selected by the Overtone Instrument on the Audio Settings dialog.

You can select one or more Labels with Ctrl-Click. Press on SlidersPlay selected tones (or press Enter to play them).

Slider Lines

Lines can be moved with the mouse. The lines have different colors:

  1. Red - Octaves of the fundamental

  2. White - Harmonics that are not octaves

  3. Green - Harmonics that perfectly match the harmonic of another slider on the screen.

Two overtone sliders forming a perfect fifth

Figure 4.18. Two overtone sliders forming a perfect fifth


For example, Figure 4.18 shows two sliders whose interval forms a perfect fifth. The frequency of the second slider is exactly 3/2 times that of the first slider. Every third harmonic of the first slider matches every second harmonic of the second slider.

Overtone Sizer Handle

The handles appear when you move the mouse over a slider. You can grab the handles with the mouse and move them. The Overtone Sizer Handle controls the number of harmonics (or overtones) shown for this slider.

Undertone Sizer Handle

This handle controls the number of undertones shown for the corresponding slider.

Move Slider Handle

This handle allows you to move the frequency or the time position of a slider. When the piano is vertical, moving this handle up or down has the same effect as moving a slider line with the mouse. Moving the slider left or right will leave the slider at the same frequency, but move its start and end position in time.

The Overtone Sliders Toolbar

Many aspects of sliders can be controlled through the Overtone Sliders Toolbar. If the toolbar is not visible, you can enable it by clicking on ViewToolbarsOvertone Sliders. The toolbar settings are explained on the Note Sliders dialog.

The Sliders Toolbar

Figure 4.19. The Sliders Toolbar


Displaying Overtone Sliders

You can set the number of shown sliders on the toolbar, or on the Note Sliders dialog. There you can also choose to how display the labels of each slider, and whether to show the note name and the frequency value.

Manipulating Overtone Sliders

The following table lists the various mouse commands that you can use to manipulate overtone sliders. Refer to Figure 4.17 for the slider elements.

Mouse action Effect

 

  Change frequency
Click + Drag Line Move line. If snapping is enabled, the line will snap to the nearest tempered tone or the nearest spectral peak.
Shift + Click + Drag Move line in 1 cent increments. This allows more precision than the normal way of moving.
Control + Shift + Click + Drag Move line in 1/4 cent increments. This allows the highest amount of precision.
Double-click in empty space

Move fundamental of slider to that position. This is useful when the slider is outside the visible range.

 

  Change frequency or time position
Click + Drag Move Handle Move time position or frequency position of slider, depending on the direction of the move.

 

  Change number of displayed over- and undertones
Move Overtone Sizer Change the number overtones (or harmonics) that are shown for this slider.
Move Undertone Sizer Change the number of undertones (or sub-harmonics) shown for this slider.
Double-click on Over- or Undertone Sizer Reset number of over- or undertones to zero.

 

  Snap line to reference frequency
Alt + Click + Drag Move line, but with reversed snapping behavior. For example, if snapping is enabled, holding Alt while moving the line will disable snapping, and vice versa.
Control + Click + Drag Move line and snap to nearest line on the slider to the left, or the slider that currently has the focus. This is very useful to construct specific intervals. For example, to create a perfect fifth, snap the second harmonic of one slider to the third harmonic of another.
Control + Alt + Click + Drag Move line and snap to the nearest line on the slider to the left, even if the focus is on a different slider. This is useful for quickly constructing scales.

 

  Other commands
Right-click on Label Open Context Menu for this slider.

Table 4.2. Overtone Slider Mouse Commands


Selecting and Playing Slider Tones

The labels of the overtone sliders show information about the corresponding frequency and note, but they also serve as buttons that allow playing back the corresponding tone by clicking on them. This is explained in the section called “Selecting Tones”.

Once you have clicked on a slider label, that slider has the input focus and you can use the arrow keys on the keyboard to quickly move up and down the harmonic series.

Snapping Sliders

When moving sliders, it can be useful to snap the manipulated line to some reference. This may be a music note, a nearby peak in the spectrum, or another slider. You can control the current snapping behavior on the toolbar, on the slider settings dialog, and by using keyboard modifiers when moving a slider as explained in Table 4.2, “Overtone Slider Mouse Commands”.

Fixate sliders on screen or on Timeline

By default, sliders are fixated to the screen. When the underlying recording moves in time, the sliders stay at the same position on the screen. This allows you to use a small number of sliders as a reference, for example when practicing pitch, or when measuring the overtones in a sound.

The Sliders can also be fixated to the Timeline (when the option Fixate note sliders on screen is not checked). In that case each slider has a specific start and end time, like the notes in a piece of music. This can be used to transcribe the notes in a recording, or to construct new compositions or scales. In this mode the Timeline shows a miniature view of all the note sliders in a recording:

Note Sliders fixated to the Timeline

Figure 4.20. Note Sliders fixated to the Timeline


Figure 4.20 shows a recording that is about 2 minutes long. In the upper part of the image, the spectrogram shows the first five seconds. The lower part contains the Timeline with on overview of the entire piece, including a miniature view of the Note Sliders. The lower line shows the fundamentals, and the upper line shows the highest overtones for each note.

Editing Note Sliders

Insert note slider at selection

When the sliders are fixated to the screen, you can simply add more sliders by increasing the number of sliders on the slider settings dialog, or on the toolbar. This doesn't work when the sliders are fixed in time. Instead, you can select a period of time and then click on SlidersInsert note slider at selection. The slider will be inserted for the selected time period, and it will have the frequency of the most common fundamental of this period. If you don't see the new slider, scroll the frequency scale or zoom it out.

Use Note Transcription Tool

To speed up the workflow of selecting a time range and inserting a new slider for consecutive notes, you can use the Note Transcription Tool in the Sliders menu. When the tool is activated, the mouse cursor will change to have a note symbol:

Now you can simply click on the boundaries of consecutive notes on the spectrogram, and the transcribe tool will insert a new note slider with every click.

To leave the transcribe tool, you can double-click, right-click, press ESCAPE, or press the keyboard shortcut for the transcription tool (which by default is T).

Delete selected note sliders

This command will remove any sliders in the current selection without affecting the audio data in this time period.

Space sliders evenly across selection

This command ensures that the sliders in the current selection all have the same width and are adjacent and non-overlapping.

Sort sliders by pitch

This command may reorder the selected sliders such that they are sorted by their fundamental frequency, where the slider with the lowest fundamental will come first. This can be used, for example, during the construction of scales.

Use lowest undertone as fundamental

If a slider has some undertones (in other words, if the Undertone Sizer Handle has been drawn down), this command will swap the lowest undertone and the fundamental.

Note Practice Mode

If you want to practice singing specific patterns or compositions, you can click on the sliders in one window to control the single slider in another. To understand how this works, first close all open windows by clicking on WindowsClose all. Then open two new windows by clicking on FileNew twice. Arrange the windows by clicking on WindowsTile horizontally. Now create three note sliders in the first window and one note slider in the second window. Move the sliders in the first window so that they have different frequencies. Then click on their labels. Note that the slider in the second window always jumps to the label on which you clicked in the first window.

When you load an existing recording in the first window, and have a new recording in the second window, the practice mode can be used to practice the pitch and timbre of individual notes in an existing piece one by one.

Loading and saving sliders

When a recording that contains Note Sliders is saved, the sliders are automatically saved in the file for most file formats. However, it is also possible to save the sliders into a separate file, for example to save the note track after a file has been transcribed. This is described in Section 4.3.3, “Loading and Saving Overtone Slider Layouts”.

Comments

Overtones

It is unclear from the documentation whether the frequencies given for the overtones are calculated, theoretical, frequencies, or if they are the actual frequencies in the overtones being displayed. In some situations the actual frequencies of the overtones can vary from the theoretical numbers, and I would like to be able to measure this. ???

Re: Overtones

The overtone sliders are only a visual overlay and display the theoretical frequencies of the harmonics in relation to the selected fundamental frequency.

At this time Overtone Analyzer does not automatically adjust the sliders, so what you see are always theoretical frequencies. The relation to the actual frequencies is purely based on a visual match between the slider and the peaks in the spectrum.

So to measure the overtones in your recording, you need to adjust the slider manually until it matches your measured frequencies. The program will be able to automatically adjust the slider in a later version.