Elinor Ostrom’s IAD – A framework for analyzing institutions through individual choices

The Institutional Analysis and Development (IAD) framework was designed by Ostrom and her colleagues from the Ostrom Workshop in 2005 to facilitate analysis of institution processes through which individual and collective choices occur.

The IAD framework includes analyzing actors, norms, institutional settings, incentive structures, rules, and more. Social scientists have widely adopted the IAD framework to study institutional arrangements and the emerge and changes of institutions over time.

[Lots of explanations, teaching tools, useful materials]

https://ostromworkshop.indiana.edu/courses-teaching/teaching-tools/iad-framework/index.html

Riffs and Rotes • Happy New Year 2026

\text{Let} ~ p_n = \text{the} ~ n^\text{th} ~ \text{prime}.

\begin{array}{llcl}  \text{Then} & 2026 & = & 2 \cdot 1013  \\  && = & p_1 p_{170}  \\  && = & p_1 p_{2 \cdot 5 \cdot 17}  \\  && = & p_1 p_{p_1 p_3 p_7}  \\  && = & p_1 p_{p_1 p_{p_2} p_{p_4}}  \\  && = & p_1 p_{p_1 p_{p_{p_1}} p_{p_{{p_1}^{p_1}}}}  \end{array}

No information is lost by dropping the terminal 1s.  Thus we may write the following form.

2026 = p p_{p p_{p_p} p_{p_{p^p}}}

The article linked below tells how forms of that order correspond to a family of digraphs called riffs and a family of graphs called rotes.  The riff and rote for 2026 are shown in the next two Figures.

Riff 2026

Riff 2026

Rote 2026

Rote 2026

Reference

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#algebra, #arithmetic, #combinatorics, #computation, #graph-theory, #group-theory, #logic, #mathematics, #number-theory, #recursion, #representation, #riffs-and-rotes, #semiotics, #visualization

The cybernetic music of Bebe and Louis Barron – the score to Forbidden Planet (1956)

I learned about this from Imaginary Worlds podcast Episode 288: Music of a Forbidden Planet from Eric Molinsky

https://www.imaginaryworldspodcast.org/episodes/music-of-a-forbidden-planet

The First Electronic Filmscore-Forbidden Planet: A Conversation with Bebe Barron

by Jane Brockman

Wikipedia

https://en.wikipedia.org/wiki/Bebe_and_Louis_Barron

From ChatGPT:

Forbidden Planet (1956) is one of the cleanest, most literal intersections of film music and cybernetics.

The connection in one line
Louis and Bebe Barron built and ‘performed’ cybernetic electronic circuits, inspired directly by Norbert Wiener’s cybernetics, and used the circuits’ feedback-driven behaviours to generate the entire electronic score for Forbidden Planet. Effectrode+1

Who the musicians were, and why they matter
The film’s ‘music’ (credited on-screen as ‘electronic tonalities’) was created by the composer-engineer couple Bebe Barron and Louis Barron. It is widely recognised as the first entirely electronic score for a major feature film. Wikipedia+1

They were not working like later synth composers who play stable instruments. They were building unstable systems and harvesting the sonic traces of those systems behaving, failing, and sometimes ‘dying’.

What ‘cybernetics’ meant in their studio (not metaphorically, but technically)
Cybernetics, in Wiener’s 1948 sense, is about control and communication in animals and machines, especially via feedback. JSTOR+1

The Barrons took that seriously, and operationalised it:

  1. They built ‘cybernetic circuits’
    They followed concepts and equations from Wiener’s Cybernetics (1948) to design bespoke electronic circuits for different themes and characters. Wikipedia+1
  2. They treated circuits as quasi-organisms
    They described their circuits as behaving like ‘lower life-forms’ with characteristic activity patterns and ‘voices’. In their own liner notes they emphasised that each circuit had its own behaviour, not just a timbre. Wikipedia
  3. Feedback and instability were the sound source
    They pushed circuits into overload, where feedback, oscillation, and breakdown generated complex, unpredictable outputs. Many circuits burned out, which meant sounds were often unrepeatable. So they recorded everything. Wikipedia+1

This is a cybernetic method: you set up a system with internal feedback loops, perturb it, observe how it responds, and then select results. It is composition via controlled emergence.

Why this is cybernetics rather than ‘just electronic music’
A lot of electronic music uses electronics as instruments.

The Barrons used electronics as systems with autonomous behaviour.

That distinction matters:

  • instrument model: human chooses notes; machine produces them predictably
  • cybernetic model: human sets conditions; machine produces behaviours; human curates and edits outputs

Their process looks like an early form of what we would now call generative or procedural sound design, except fully analogue, and with real physical failure modes.

How it shaped film music history (and why the credit matters)
The Musicians’ Union pushed MGM to avoid calling it ‘music’, so the Barrons were credited with ‘electronic tonalities’. This labour/definition conflict had real consequences: it helped block them from further Hollywood scoring work. Wikipedia+1

This is an important cybernetics-adjacent point: institutions defend existing categories to preserve stability. The Barrons produced a disturbance in the system (a new form of scoring), and the system compensated by relabelling it and excluding them.

The deeper connection: cybernetics inside the film’s story-world
Forbidden Planet is already a cybernetics-saturated film: control rooms, automation, feedback, and the ‘monster from the Id’ as an emergent product of a man-machine system.

The score is not just accompaniment. It is structurally aligned with the film’s themes because it is produced by the same conceptual machinery: humans interacting with autonomous systems that respond in ways you cannot fully predict. A scholarly analysis of the score explicitly reads its sound world through organism-machine hybrids and ecology, which is very much in the cybernetics lineage. JSTOR

A useful way to think about it (very Wiener, very Barron)
If you want the cybernetic punchline:

The Barrons composed by designing a feedback system, letting it behave, and then selecting the behaviours that best regulated the audience’s emotional state in the film.

That is control and communication, via sound, using actual cybernetic artefacts.

Sign Relations • Semiotic Equivalence Relations 2

A few items of notation are useful in discussing equivalence relations in general and semiotic equivalence relations in particular.

In general, if E is an equivalence relation on a set X then every element x of X belongs to a unique equivalence class under E called the equivalence class of x under E.  Convention provides the square bracket notation for denoting such equivalence classes, in either the form [x]_E or the simpler form [x] when the subscript E is understood.  A statement that the elements x and y are equivalent under E is called an equation or an equivalence and may be expressed in any of the following ways.

Semiotic Equivalence Relation Display 1

Thus we have the following definitions.

Semiotic Equivalence Relation Display 2

In the application to sign relations it is useful to extend the square bracket notation in the following ways.  If L is a sign relation whose connotative component L_{SI} is an equivalence relation on S = I, let [s]_L be the equivalence class of s under L_{SI}.  In short, [s]_L = [s]_{L_{SI}}.  A statement that the signs x and y belong to the same equivalence class under a semiotic equivalence relation L_{SI} is called a semiotic equation (SEQ) and may be written in either of the following forms.

Semiotic Equivalence Relation Display 3

In many situations there is one further adaptation of the square bracket notation for semiotic equivalence classes which can be useful.  Namely, when there is known to exist a particular triple (o, s, i) in a sign relation L, it is permissible to let [o]_L be defined as [s]_L.  This lets the notation for semiotic equivalence classes harmonize more smoothly with the frequent use of similar devices for the denotations of signs and expressions.

Applying the array of equivalence notations to the sign relations for A and B will serve to illustrate their use and utility.

Connotative Components Con(L_A) and Con(L_B)

The semiotic equivalence relation for interpreter \mathrm{A} yields the following semiotic equations.

Semiotic Equivalence Relation Display 4

or

Semiotic Equivalence Relation Display 5

In this way the SER for \mathrm{A} induces the following semiotic partition.

Semiotic Equivalence Relation Display 6

The semiotic equivalence relation for interpreter \mathrm{B} yields the following semiotic equations.

Semiotic Equivalence Relation Display 7

or

Semiotic Equivalence Relation Display 8

In this way the SER for \mathrm{B} induces the following semiotic partition.

Semiotic Equivalence Relation Display 9

Taken all together we have the following picture.

Semiotic Partitions for Interpreters A and B

Resources

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cc: CyberneticsStructural ModelingSystems Science

#c-s-peirce, #connotation, #denotation, #inquiry, #logic, #logic-of-relatives, #mathematics, #relation-theory, #semiosis, #semiotic-equivalence-relations, #semiotics, #sign-relations, #triadic-relations