The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 481

Scale 481, 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

41161837294116105072918310504116183
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).

Analysis

Cardinality5 (pentatonic)
Pitch Class Set{0,5,6,7,8}
Forte Number5-5
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 241
Hemitonia3 (trihemitonic)
Cohemitonia2 (dicohemitonic)
Imperfections3
Modes4
Prime?no
prime: 143
Deep Scaleno
Interval Vector321121
Interval Spectrump2mns2d3t
Distribution Spectra<1> = {1,4,5}
<2> = {2,5,6,9}
<3> = {3,6,7,10}
<4> = {7,8,11}
Spectra Variation4.4
Maximally Evenno
Maximal Area Setno
Interior Area1.433
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
Minor Triadsfm{5,8,0}000

Since there is only one common triad in this scale, there are no opportunities for parsimonious voice leading between triads.

Modes

Modes are the rotational transformation of this scale. Scale 481 can be rotated to make 4 other scales. The 1st mode is itself.

2nd mode:
Scale 143
Scale 143, Ian Ring Music TheoryThis is the prime mode
3rd mode:
Scale 2119
Scale 2119, Ian Ring Music Theory
4th mode:
Scale 3107
Scale 3107, Ian Ring Music Theory
5th mode:
Scale 3601
Scale 3601, Ian Ring Music Theory

Prime

The prime form of this scale is Scale 143

Scale 143Scale 143, Ian Ring Music Theory

Complement

The pentatonic modal family [481, 143, 2119, 3107, 3601] (Forte: 5-5) is the complement of the heptatonic modal family [239, 1927, 2167, 3011, 3131, 3553, 3613] (Forte: 7-5)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 481 is 241

Scale 241Scale 241, Ian Ring Music Theory

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 481 is chiral, and its enantiomorph is scale 241

Scale 241Scale 241, Ian Ring Music Theory

Transformations:

T0 481  T0I 241
T1 962  T1I 482
T2 1924  T2I 964
T3 3848  T3I 1928
T4 3601  T4I 3856
T5 3107  T5I 3617
T6 2119  T6I 3139
T7 143  T7I 2183
T8 286  T8I 271
T9 572  T9I 542
T10 1144  T10I 1084
T11 2288  T11I 2168

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 483Scale 483: Kygimic, Ian Ring Music TheoryKygimic
Scale 485Scale 485: Stoptimic, Ian Ring Music TheoryStoptimic
Scale 489Scale 489: Phrathimic, Ian Ring Music TheoryPhrathimic
Scale 497Scale 497: Kadimic, Ian Ring Music TheoryKadimic
Scale 449Scale 449, Ian Ring Music Theory
Scale 465Scale 465: Zoditonic, Ian Ring Music TheoryZoditonic
Scale 417Scale 417, Ian Ring Music Theory
Scale 353Scale 353, Ian Ring Music Theory
Scale 225Scale 225, Ian Ring Music Theory
Scale 737Scale 737, Ian Ring Music Theory
Scale 993Scale 993, Ian Ring Music Theory
Scale 1505Scale 1505, Ian Ring Music Theory
Scale 2529Scale 2529, Ian Ring Music Theory

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. Special thanks to Richard Repp for helping with technical accuracy.