| Lambdoma | Scales | Gaffurius | Forms of vibrations |
| Sounds of circles | Patterns of circles | Models of planets | Soundgames |
HarmonicsLambdomaAn attempt to realize the pythagorean table, described by Albert von Thimus
in the 1870's, as an online playable instrument. Especially Hans Kayser
("Akróasis", 1946, etc.) used and explained it extensively. Principles of
proportion and interrelationship of tones as fractions of integers can be studied
this way.
ScalesTune the single scale functions by scrolling the respective number fields. Scale functions can freely be defined as fractions in relation to the basic frequency: numerator for overtone, denominator for undertone position. Some tunings are in the presets and can be loaded by mouseclick 7-Note Scale - Presets are:
12-Note Scale - for tuning chromatic scales as well as alternative diatonic scale functions.
Equal-Tempered Scale - 12 chromatic scale functions - fixed on semitones at 100 cent. 22-Note Scale - presets are (according to Robert Ross):
Gaffurius"harmonia est discordia concors" - Franchinus Gaffurius (1452 - 1522) teaching 12 disciples in harmony Forms of Vibrations (Schwingungsbilder)Modifying the well known Lissajous-figures, "Schwingungsbilder" result from an attempt to visualize the complex geometric patterns, which appear in the overlapping of different movements or vibrations. The single graphics have been drawn automatically: a point moving along a circular line is an analogy to a simple sinewave (thin line). If this point itself becomes the moving center of a second circle with the same radius, on whose new circular line a second point moves along, the new point can represent as its outcome (bold line) a simple overlapping: different simple ratios of velocities of the two circular movements are analogies to different simple intervals. In this case both circular movements can go into the same direction ("gleichphasig") or not ("gegenphasig"). Combinations of three or more circular movements in a similar way show the great and beautiful variety of vibration-patterns of triads (major and minor), their inversions and other harmonic structures. Moving the mouse on single titles will load the matching graphics, the internal connection of the single variants can then be studied by toggling (graphics change by mouse moving) between the different shapes. Since relations between movements or vibrations (proportions) are presented, but not absolute frequencies, harmony can be experienced here in a sense that goes far beyond the human auditory range (20 Hz - 20 KHz). Sounds of Circles (Klangkreise)Similar to "Kreisbilder",
but with animated movements of points - leaving traces, when "Bahn zeichnen" is pressed.
In addition, every "trajectory" produces a sound corresponding to its velocity
that grows louder when going down and dies away when going up.
The respective "trajectory" sound derives from three sinewave generators:
beginning in unison they get more and more detuned with the sound growing louder.
Patterns of Circles (Bahnbeziehungen)Two points moving on two concentric circles can be tuned concerning velocity and sounding interval. The connecting line of the points can be visualized, the whole pattern can be drawn, as well as the nearest and farest distance (conjunction and opposition). Parameters can be changed by scrolling the number fields. Stop and start again with a mouse click in the applet window. Maximize browser window for a better view. Models of PlanetsSolar System - 9 sound modules, free tunable as scale positions in fractions of integers according to a base frequency, can be used to generate a variable rotating soundspace. Like masses moving along slowly against each other shifting orbits several low frequency oscillators control thereby swayings of tuning, variations of filter qualities, volume fading in and out and panorama movement of the single sounds. Planets - Elliptic orbits of three masses around a central mass are calculated concerning the conditions of gravitation (pmpd-library for physical modeling is required). The resulting data are used for controlling corresponding sound modules and graphical objects. Many parameters can be modified. Gravitation System - graphical animation for studying the interdependent behaviour of masses with their's own gravitation fields. The user has to spend some skill for setting suitable impuls forces to hold the system in a fairly stabile state (PD-objects require pmpd-library for physical modeling). Planeten - Java-JSyn-application for audiovisual simulation of elliptic planet movements according to the laws of Newton in a gravitation field. Different modi of graphical representation, multiple access to sounddesign, possibilities for defining and saving individual settings, manual. SoundgamesClouds of Sound (Klangwolken) - Every time a sound field is entered by the mouse frequency, volume and panorama values of 24 sinewave generators are defined anew by random selection. Clicking on a field with the mouse makes the sound permanent, clicking again turns the sound off. Dust of Sound (Klangstaub) - The actual mouse position defines centers of sounding dust particles, envelope shapes of the individual sounds change accordingly. Stop and start again with a mouse click in the applet window. Maximize browser window for a better view. Filter Cadence - spectra of sawtooth oscillators are smoothly shaped by bandpass filters. The resulting sounds can be modulated in different ways. Based on a frequency of 110 Hz initial tuning is prime (1/1), oktave (2/1), fifth (3/2) and forth (4/3). Free Passacaglia - rhythmically free floating streams of mididata reflecting changes of the chords represented by the bassline are generated in realtime. The resulting data also control a visualization using GEM: projection of pictures on moving 3D-surfaces. Sounds like piano, harpsichord, guitar, harp and so on are recommended. Soundspaces - within different soundspaces (over- and untertone series, modal scales, distantial structures) single tones are moved with individual envelopes resulting from low frequent noise generators. The number of tones is free eligible, up to three soundspaces can be performed simultaneously. Spectral Landscapes - complex sounds with variable envelopes can be generated for each single partial (singular and in longer series). Protocoll in the console window. |
