Name: 'Expanse' by Dolores Catherino in Microtones for transformation
Duration: 6 min 30 s
Description: Expanse: Exploring the unknown limits of musical sound. Whenever a symbolic language is expanded (in music, math, science, English, etc.), new ideas and possibilities can be structured in thought and expressed to others. This renewal leads to new questions, new discoveries, and eventually toward wider perspectives.

great to hear new music! thank you for your great work

Microtones for transformation

This polychromatic composition is an exploration and demonstration of the musical use of interactive harmonics. It is an example of the gestalt principle in the sense that the whole (output harmonics) is greater than the sum of the parts (input notes and harmonics). Aural resolution: 106 pitches per octave.

Heterodyne - an existing concept that is a closest description (not explanation) of this musical phenomena of 'extra' harmonics created in the interaction of two or more notes.

Horizon - in the sense of always evolving boundaries of awareness, exploration and understanding.

Music theory describes harmonics 'vertically', in relation to a fundamental pitch. This composition demonstrates that 'horizontal' cross-interaction occurs, creating new harmonics and unique musical textures.

Note in the middle of the composition, I am playing only 2 notes, one static and the other moving melodically. The thing to notice is that a (higher pitched) harmonic is following the melody line NOT in the same direction (high/low), as traditional harmonics do (because they are a subcomponent of the pitch), but in the OPPOSITE direction.

Next, notice a second (lower pitched) interactive harmonic, which moves in the same direction as the melody (just as traditional 'primary' harmonics do). Try also, to hear additional subtle harmonics and a further harmonic blending as the melody becomes polyphonic.

An intriguing question would be whether these interactive harmonics are measurable with an audio spectrum analyzer. More deeply, are these interactive harmonics created in a quantifiable dimension or are they a purely perceptual phenomenon; Qualia; technologically immeasurable?

Video performance available on YouTube. Polychromatic score and audio files are available for download on my website.

more information: dolorescatherino.com

- Contextual information on known phenomena:

HETERODYNE FREQUENCIES (electronics, communications engineering) and COMBINATION TONES (acoustics, psychophysics) are comprised of sum and difference tones.

SUM TONES (f1+ f2) can create a frequency octave(s) above/greater than the lower frequency (f1):
220 Hz (A3) + 293.66 Hz (D3) = 513.66 Hz (C4)

DIFFERENCE TONES (f2- f1) can create a frequency octave(s) below/less than the lower frequency (f1):
293.66 Hz (D3) - 220 Hz (A3) = 73.66 Hz (D1)

INTERACTIVE HARMONICS (music), as demonstrated here, can create other frequency intervals which are neither sum nor difference tones.

'Heterodyne Horizon'

polyphonic ping pong

I recorded the sound of a cat's meow and tuned it to make some of the tones in this song.


Visitor

notes I hold on to

Cerf

Cerf [Creative Commons]

An expression of the timeless and constantly evolving ‘voice’ (consciousness) of humanity and all sentient beings. An enduring ‘voice’ (expression) of striving, growth and hope, as we live through, and are forever changed by, recurring experiences of harmony and discord, creation and destruction, integration and separation. 

From within a chaotically changing world, emerges an expanding awareness of dissonance, consonance and resonance as fundamental aspects of this experience. Music is an optimal language to express ideas in this realm of experience.

Art has a unique strength to illuminate opaque realms of experience and intuition. Each symbolic language (discursive, mathematical, artistic; literal, abstract) reveals different and seemingly incommensurable perspectives or dimensions of this common, yet uniquely individual experience. Each system of expression and understanding reflects a partial awareness. And our experience may be in some way a reflection of our consciousness and awareness.

Vox Aeterna is an eternal 'voice' existing beyond our limited conceptions of time and space, yet also existing within an experience of increasing transience and instability.

'Vox Aeterna'

N⩞SCENT - coming into being. The birth of extraordinary potentiality and hope within difficult times. 

Crisis seems to be the catalyst to profound change and progress. A crisis-evolution cycle repeats throughout human experience. In difficult times, greatness emerges - compassion in the midst of hostility; awareness in the midst of deception; striving in the midst of apathy; hope in the midst of despair.

As the rate of change accelerates, some take advantage of the fear caused by this instability. And yet these same actions also create the conditions for the development of inner strength, purpose and greater meaning in response.

Audio track available at: https://dolorescatherino.bandcamp.com/track/n-scent

N⩞SCENT

BMC'S VOICEMAIL - 01 (Dreams, Shapes, Days)

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Inflexion - a movement toward profound transformation. In a postmodern world, where emerging narratives replace the stability of a prior cultural meta-narrative, more voices are striving to be heard. An initial sense of dissonance and chaos slowly moves toward stability -- within a more complex form of harmony.

”The limits of my language are the limits of my world."  - Wittgenstein

When the language of cultural discourse becomes rigidly divisive, and words lose any stable meaning, music can transcend limitations of communication and become a unifying force, rooted in common awareness, experience and emotion. 

Each language presents unique strengths and limitations to the awareness and understanding of our world and ‘reality’. Music can express this tension without divisiveness and demonstrate the potential, and hope, for bringing together diverse voices within new complexities of harmony. A movement beyond ‘either-or’ understanding, toward ‘both-and’ awareness; and in the process, a discovery of wider balance and integration between them.

'Inflexion'

Expanse: Exploring the unknown limits of musical sound. Whenever a symbolic language is expanded (in music, math, science, English, etc.), new ideas and possibilities can be structured in thought and expressed to others. This renewal leads to new questions, new discoveries, and eventually toward wider perspectives.

'Expanse'

beautiful elevator Music. First 100 downloads free! (message me to download after)!     Tag me in your content if you use it!

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Dolores Catherino is an avant-garde  composer, exploring new sonic frontiers with PolyChromatic music. Inspired by creative collaboration, she is also exploring integrated perspectives at the crossroads of music, science, technology, and the humanities.

The music shared here is part of a larger exploration of developing increasing awareness of sound/vibration phenomena.

An invitation is extended to creative remix and modification!

'Expanse'

Dolores Catherino

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