Ron's Ratio App

ratio screenshots

Ratio Wireframe Sphere

Ratio Different Sphere

Ratio Solid Ring

http://www.w3schools.com/html/html_lists.asp

Ratio Zoom-in Minimum

Ratio Zoom-in Average

Ratio Zoom-in Maximum

Ratio2 Example 1

Ratio2 Example 2

Ratio3 Averages

Ratio3 Teacher

Readme

Overview/Introduction Please read the home page first for background information. The purpose of this application is to provide a way to compare the harmonics for two different notes. Like the color app, the assumption is that someone wants to improve or alter their tone. This example continues with the scenario of a student and teacher note comparison. This program takes harmonics 2-7 and calculates the ratio vs. the fundamental (divides by the fundamental). The ratios for the teacher and the student are superimposed for ease of comparisons. The usual color scheme (see the Color readme) are used: yellow: fundamental & octaves of the fundamental (H1, H2, H4) green: 5ths (H3, H6) red: 3rd (H5) purple: 7th (H7) There are 3 different programs (ratio, ratio2, ratio3). The first program, ratio, shows each harmonic as a geometric figure. The user may select between several different geometric shapes, and also between wireframe or solid figures. The student's figure is always in blue. Visually, if the figure for each harmonic is mostly a non-blue color, it indicates that the teacher's harmonic strength (relative to the fundamental) is stronger than that of the student. This can give the user an idea of which harmonics are stronger or weaker than that of a "target" tone. The program also provides a way to zoom in on each harmonic, and to also compare the min, max, and average for each harmonic. For the ratio app, the student might select one of the harmonics that is weak (relative to the teacher). The student can zoom-in on that particular harmonic and use the teacher's geometry as a target as he practices. The second program, ratio2, represents the teacher and student as separate pole shaped figures. Each harmonic is a portion of the pole, and is drawn with the usual colors. The ratio of each harmonic vs. the fundamental is represented as a bend in the pole. The curve shape shows the difference between the two notes. For the ratio2 app, the student can observe the general curve of the teacher's note. He can then adjust his playing attempting to get his shape to approximate that of the teacher's. The third program, ratio3, is similar to the color triangles. However, rather than a single triangle to represent the teacher or student, there are pairs of triangles. Using ratios reduces the number of elements from 7 down to 6 per tuple. It becomes possible to show each element as a color if each tuple is represented by two triangles. For consistency, each triangle colors the lower left vertex as yellow (octaves above the fundamental), the top vertex as green (5ths) and the lower right for either red (3rds) or purple (7ths). The left triangle represents ratios for harmonics 2, 3, and 5. The right triangle represents ratios for harmonics 4, 6, and 7. In general the right triangle would be the higher harmonics. A student wanted to enrich his tone might choose to focus on the right triangle in comparison to the teacher. The files used by these two programs are: hdata/shelly.ratio - teacher's harmonics as ratios of the fundamental hdata/misty.ratio - student's harmonics as ratios of the fundamental There are also 2 wav files with the audio of each note. hdata/shelly.wav - teacher's audio hdata/misty.wav - student's audio To run the program: make ./ratio ./ratio2 ./ratio3 Keyboard/mouse controls for ratio: 1 : shows ratios for harmonics 2-7 2-7 : show only a specific ratio (corresponding to the key number) in a zoomed-in mode shift+# : where # is between 2-7 inclusive. Shows only that specific harmonic in a zoomed-in mode, use the "i" key (for "information") to scroll between min/max/average wasd : standard camera movement h, l : scroll up/down through different geometries for display n : wireframe display m : solid/filled in geometry r : reset display (camera) to starting position q : quit click/drag mouse controls for camera movement Keyboard/mouse controls for ratio2: 1,2 : shows ratios for both teacher & student i : shows average, minimum, maximum (cycles through each as "i" is pressed) wasd : standard camera movement j, k : scroll up/down harmonic samples n : wireframe display m : solid/filled in geometry r : reset display (camera) to starting position q : quit click/drag mouse controls for camera movement Keyboard controls for ratio3: 1 : show teacher's ratios 2 : show student's ratios j, k : scroll up/down harmonic samples (only works if gluttimer is commented out) p : toggle on or off automatic playback of harmonic display q : quit