The Exciting Universe Of Music Theory
presents

more than you ever wanted to know about...

Scale 1381: "Padimic"

Scale 1381: Padimic, 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).

Common Names

Zeitler
Padimic

Analysis

Cardinality6 (hexatonic)
Pitch Class Set{0,2,5,6,8,10}
Forte Number6-34
Rotational Symmetrynone
Reflection Axesnone
Palindromicno
Chiralityyes
enantiomorph: 1237
Hemitonia1 (unhemitonic)
Cohemitonia0 (ancohemitonic)
Imperfections4
Modes5
Prime?no
prime: 683
Deep Scaleno
Interval Vector142422
Interval Spectrump2m4n2s4dt2
Distribution Spectra<1> = {1,2,3}
<2> = {3,4,5}
<3> = {5,6,7}
<4> = {7,8,9}
<5> = {9,10,11}
Spectra Variation1.667
Maximally Evenno
Myhill Propertyno
Balancedno
Ridge Tonesnone
ProprietyProper
Heliotonicno

Modes

Modes are the rotational transformation of this scale. Scale 1381 can be rotated to make 5 other scales. The 1st mode is itself.

2nd mode:
Scale 1369
Scale 1369: Boptimic, Ian Ring Music TheoryBoptimic
3rd mode:
Scale 683
Scale 683: Stogimic, Ian Ring Music TheoryStogimicThis is the prime mode
4th mode:
Scale 2389
Scale 2389: Eskimo Hexatonic 2, Ian Ring Music TheoryEskimo Hexatonic 2
5th mode:
Scale 1621
Scale 1621: Scriabin's Prometheus, Ian Ring Music TheoryScriabin's Prometheus
6th mode:
Scale 1429
Scale 1429: Bythimic, Ian Ring Music TheoryBythimic

Prime

The prime form of this scale is Scale 683

Scale 683Scale 683: Stogimic, Ian Ring Music TheoryStogimic

Complement

The hexatonic modal family [1381, 1369, 683, 2389, 1621, 1429] (Forte: 6-34) is the complement of the hexatonic modal family [683, 1369, 1381, 1429, 1621, 2389] (Forte: 6-34)

Inverse

The inverse of a scale is a reflection using the root as its axis. The inverse of 1381 is 1237

Scale 1237Scale 1237: Salimic, Ian Ring Music TheorySalimic

Enantiomorph

Only scales that are chiral will have an enantiomorph. Scale 1381 is chiral, and its enantiomorph is scale 1237

Scale 1237Scale 1237: Salimic, Ian Ring Music TheorySalimic

Transformations:

T0 1381  T0I 1237
T1 2762  T1I 2474
T2 1429  T2I 853
T3 2858  T3I 1706
T4 1621  T4I 3412
T5 3242  T5I 2729
T6 2389  T6I 1363
T7 683  T7I 2726
T8 1366  T8I 1357
T9 2732  T9I 2714
T10 1369  T10I 1333
T11 2738  T11I 2666

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 1383Scale 1383: Pynian, Ian Ring Music TheoryPynian
Scale 1377Scale 1377, Ian Ring Music Theory
Scale 1379Scale 1379: Kycrimic, Ian Ring Music TheoryKycrimic
Scale 1385Scale 1385: Phracrimic, Ian Ring Music TheoryPhracrimic
Scale 1389Scale 1389: Minor Locrian, Ian Ring Music TheoryMinor Locrian
Scale 1397Scale 1397: Major Locrian, Ian Ring Music TheoryMajor Locrian
Scale 1349Scale 1349: Tholitonic, Ian Ring Music TheoryTholitonic
Scale 1365Scale 1365: Whole Tone, Ian Ring Music TheoryWhole Tone
Scale 1317Scale 1317: Chaio, Ian Ring Music TheoryChaio
Scale 1445Scale 1445: Raga Navamanohari, Ian Ring Music TheoryRaga Navamanohari
Scale 1509Scale 1509: Ragian, Ian Ring Music TheoryRagian
Scale 1125Scale 1125: Ionaritonic, Ian Ring Music TheoryIonaritonic
Scale 1253Scale 1253: Zolimic, Ian Ring Music TheoryZolimic
Scale 1637Scale 1637: Syptimic, Ian Ring Music TheorySyptimic
Scale 1893Scale 1893: Ionylian, Ian Ring Music TheoryIonylian
Scale 357Scale 357: Banitonic, Ian Ring Music TheoryBanitonic
Scale 869Scale 869: Kothimic, Ian Ring Music TheoryKothimic
Scale 2405Scale 2405: Katalimic, Ian Ring Music TheoryKatalimic
Scale 3429Scale 3429: Marian, Ian Ring Music TheoryMarian

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, and MIDI playback by MIDI.js. Some scale names used on this and other pages are ©2005 William Zeitler (http://allthescales.org). Peruse this Bibliography.