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Scale 1265: "Pynimic"

Scale 1265: Pynimic, Ian Ring Music Theory

Bracelet Diagram

The bracelet shows tones that are in this scale, starting from the top (12 o'clock), going clockwise in ascending semitones. The "i" icon marks imperfect tones that do not have a tone a fifth above. Dotted lines indicate axes of symmetry.

Tonnetz Diagram

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Tonnetz diagrams are popular in Neo-Riemannian theory. Notes are arranged in a lattice where perfect 5th intervals are from left to right, major third are northeast, and major 6th intervals are northwest. Other directions are inverse of their opposite. This diagram helps to visualize common triads (they're triangles) and circle-of-fifth relationships (horizontal lines).

Common Names

Zeitler
Pynimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,4,5,6,7,10}
Forte Number6-Z41
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 485
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes5
Prime?no
prime: 335
Deep Scaleno
Interval Vector332232
Interval Spectrump3m2n2s3d3t2
Distribution Spectra<1> = {1,2,3,4}
<2> = {2,4,5,6}
<3> = {3,5,6,7,9}
<4> = {6,7,8,10}
<5> = {8,9,10,11}
Spectra Variation3.333
Maximally Evenno
Maximal Area Setno
Interior Area2.116
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyImproper
Heliotonicno

Common Triads

These are the common triads (major, minor, augmented and diminished) that you can create from members of this scale.

* Pitches are shown with C as the root

Triad TypeTriad*Pitch ClassesDegreeEccentricityCloseness Centrality
Major TriadsC{0,4,7}110.5
Diminished Triads{4,7,10}110.5
Parsimonious Voice Leading Between Common Triads of Scale 1265. Created by Ian Ring ©2019 C C C->e°

Above is a graph showing opportunities for parsimonious voice leading between triads*. Each line connects two triads that have two common tones, while the third tone changes by one generic scale step.

Diameter1
Radius1
Self-Centeredyes

Modes

Modes are the rotational transformation of this scale. Scale 1265 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 335
Scale 335: Zanimic, Ian Ring Music TheoryZanimicThis is the prime mode
3rd mode:
Scale 2215
Scale 2215: Ranimic, Ian Ring Music TheoryRanimic
4th mode:
Scale 3155
Scale 3155: Ladimic, Ian Ring Music TheoryLadimic
5th mode:
Scale 3625
Scale 3625: Podimic, Ian Ring Music TheoryPodimic
6th mode:
Scale 965
Scale 965: Ionothimic, Ian Ring Music TheoryIonothimic

Prime

The prime form of this scale is Scale 335

Scale 335Scale 335: Zanimic, Ian Ring Music TheoryZanimic

Complement

The hexatonic modal family [1265, 335, 2215, 3155, 3625, 965] (Forte: 6-Z41) is the complement of the hexatonic modal family [215, 1475, 1805, 2155, 2785, 3125] (Forte: 6-Z12)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1265 is 485

Scale 485Scale 485: Stoptimic, Ian Ring Music TheoryStoptimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1265 is chiral, and its enantiomorph is scale 485

Scale 485Scale 485: Stoptimic, Ian Ring Music TheoryStoptimic

Transformations:

T0 1265  T0I 485
T1 2530  T1I 970
T2 965  T2I 1940
T3 1930  T3I 3880
T4 3860  T4I 3665
T5 3625  T5I 3235
T6 3155  T6I 2375
T7 2215  T7I 655
T8 335  T8I 1310
T9 670  T9I 2620
T10 1340  T10I 1145
T11 2680  T11I 2290

Nearby Scales:

These are other scales that are similar to this one, created by adding a tone, removing a tone, or moving one note up or down a semitone.

Scale 1267Scale 1267: Katynian, Ian Ring Music TheoryKatynian
Scale 1269Scale 1269: Katythian, Ian Ring Music TheoryKatythian
Scale 1273Scale 1273: Ronian, Ian Ring Music TheoryRonian
Scale 1249Scale 1249, Ian Ring Music Theory
Scale 1257Scale 1257: Blues Scale, Ian Ring Music TheoryBlues Scale
Scale 1233Scale 1233: Ionoditonic, Ian Ring Music TheoryIonoditonic
Scale 1201Scale 1201: Mixolydian Pentatonic, Ian Ring Music TheoryMixolydian Pentatonic
Scale 1137Scale 1137: Stonitonic, Ian Ring Music TheoryStonitonic
Scale 1393Scale 1393: Mycrimic, Ian Ring Music TheoryMycrimic
Scale 1521Scale 1521: Stanian, Ian Ring Music TheoryStanian
Scale 1777Scale 1777: Saptian, Ian Ring Music TheorySaptian
Scale 241Scale 241, Ian Ring Music Theory
Scale 753Scale 753: Aeronimic, Ian Ring Music TheoryAeronimic
Scale 2289Scale 2289: Mocrimic, Ian Ring Music TheoryMocrimic
Scale 3313Scale 3313: Aeolacrian, Ian Ring Music TheoryAeolacrian

This scale analysis was created by Ian Ring, Canadian Composer of works for Piano, and total music theory nerd. The software used to generate this analysis is an open source project at GitHub. Scale notation generated by VexFlow, graph visualization by Graphviz, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org) used with permission.

Pitch spelling algorithm employed here is adapted from a method by Uzay Bora, Baris Tekin Tezel, and Alper Vahaplar. (An algorithm for spelling the pitches of any musical scale) Contact authors Patent owner: Dokuz Eylül University, Used with Permission. Contact TTO

Tons of background resources contributed to the production of this summary; for a list of these peruse this Bibliography.