Harken Music
@harkenmusic.bsky.social
Harken Music is a new math-based system for learning, understanding, and using the full 12-tone chromatic scale and cycle. Everything is free and open-source, so please visit https://mitchkahle.substack.com and try our demo at https://harkenmusic.com
Reflections On Music...
Reflections On Music
Without Transformations—Reflection, Rotation, Retrograde—Music Remains Static
mitchkahle.substack.com
January 9, 2025 at 8:35 PM
Reflections On Music...
867-5309: the most memorable telephone number of all time.
867-5309
Solve this puzzle to find the true tones to the most memorable telephone number of all time.
mitchkahle.substack.com
January 9, 2025 at 1:42 AM
867-5309: the most memorable telephone number of all time.
Solve This Reflection Puzzle To Produce The Arabian Modes
Arabian Scale Reflections
Solve This 7x7 Harken Music Puzzle To Produce The Arabian Modes
mitchkahle.substack.com
January 8, 2025 at 6:15 PM
Solve This Reflection Puzzle To Produce The Arabian Modes
Reflections On Mixolydian ♭6 Scale
Reflections On Mixolydian ♭6
Harken Music Puzzle Instructions:
mitchkahle.substack.com
January 8, 2025 at 12:23 AM
Reflections On Mixolydian ♭6 Scale
Are You A Musical Genius?
Tone Row Puzzle
Are you a musical genius? You might just be one, if you can solve this 12x12 puzzle.
mitchkahle.substack.com
January 5, 2025 at 2:10 PM
Are You A Musical Genius?
Benchmark Test: ChatGPT o1 solved this puzzle correctly in 32 seconds. Can you?
Pentatonic Puzzle
Can you solve this 5x5 pentatonic puzzle?
mitchkahle.substack.com
January 3, 2025 at 8:52 PM
Benchmark Test: ChatGPT o1 solved this puzzle correctly in 32 seconds. Can you?
Out with the old and in with the new! Musicians must adapt to the changing technological landscape, where compute and math are the foundation of all language systems, including 12-tone equal temperament.
Roman Numerals
Why Roman Numerals Do Not Accurately Convey Music
mitchkahle.substack.com
January 3, 2025 at 3:40 PM
Out with the old and in with the new! Musicians must adapt to the changing technological landscape, where compute and math are the foundation of all language systems, including 12-tone equal temperament.
New Years’ Resolution 2025: Exercise Brain!
New Dorian Puzzler
Use Rotations To Solve This 7x7 Puzzle For Dorian Modes In Retrograde
mitchkahle.substack.com
January 2, 2025 at 3:14 PM
New Years’ Resolution 2025: Exercise Brain!
Well, what do you know?
The Dorian Scale
Everything You Never Knew About The Most Common Musical Scale
mitchkahle.substack.com
January 1, 2025 at 5:59 PM
Well, what do you know?
The "lost chord" has finally been found.
Find The Perfect Chord (Every Time)
The Harken Music system can produce every possible chord or scale, from simple intervals and triads to chromatic scales and tone rows.
mitchkahle.substack.com
December 29, 2024 at 2:31 PM
The "lost chord" has finally been found.
We asked ChatGPT 04 to analyze sheet music for three original jazz compositions. The results are impressive.
AI Song Analysis
ChatGPT o4 Performs Song Analysis On Demand
mitchkahle.substack.com
December 27, 2024 at 10:38 PM
We asked ChatGPT 04 to analyze sheet music for three original jazz compositions. The results are impressive.
Rhythm is the backbone of music, and the nearly infinite number of rhythmic possibilities can now be systematically explored using five simple, yet powerful, mathematical formulas. Check it out!
The Five Formulas for Rhythm
A Comprehensive Guide to Mathematical Precision in Musical Rhythm
mitchkahle.substack.com
December 18, 2024 at 8:29 PM
Rhythm is the backbone of music, and the nearly infinite number of rhythmic possibilities can now be systematically explored using five simple, yet powerful, mathematical formulas. Check it out!
Harmony, Rhythm, or Melody: Which Comes First?
The Core of Music: Harmony, Rhythm, or Melody?
Unpacking the Foundations of Musical Structure
mitchkahle.substack.com
December 18, 2024 at 4:12 PM
Harmony, Rhythm, or Melody: Which Comes First?
How Simple Math Brings Western Music Back To Life
Math As Music CPR
How Simple Math Brings Western Music Back To Life
mitchkahle.substack.com
December 16, 2024 at 1:17 PM
How Simple Math Brings Western Music Back To Life
Five Formulas That Solve All of 12-Tone Music!
Five Formulas
Just Five Simple Formulas Solve for All of 12-Tone Equal Temperament
mitchkahle.substack.com
December 15, 2024 at 9:55 PM
Five Formulas That Solve All of 12-Tone Music!
Donny McCaslin Quartet live at the Green Mill jazz club in Chicago (last night and tonight).
@donnymccaslin.bsky.social
@donnymccaslin.bsky.social
December 14, 2024 at 5:45 PM
Donny McCaslin Quartet live at the Green Mill jazz club in Chicago (last night and tonight).
@donnymccaslin.bsky.social
@donnymccaslin.bsky.social
Anyone Can Solve This 7x7 Puzzle For Dorian Modes Using Rotations
Puzzle For Dorian Modes
Anyone Can Solve This 7x7 Puzzle For Dorian Modes Using Rotations
mitchkahle.substack.com
December 13, 2024 at 3:59 AM
Anyone Can Solve This 7x7 Puzzle For Dorian Modes Using Rotations
How The Harken Music System Works In Plain English
Harken Explainer
How The Harken Music System Works In Plain English
mitchkahle.substack.com
December 12, 2024 at 9:17 PM
How The Harken Music System Works In Plain English
This is the only math needed to solve this puzzle...
• (a + b) / 2 = a
• (2a - n) + 12 mod 12
• (a + b) / 2 = a
• (2a - n) + 12 mod 12
New Pentatonic Puzzler
Solving 5x5 Reflection Puzzle for Dominant Pentatonic Scale
mitchkahle.substack.com
December 9, 2024 at 6:36 PM
This is the only math needed to solve this puzzle...
• (a + b) / 2 = a
• (2a - n) + 12 mod 12
• (a + b) / 2 = a
• (2a - n) + 12 mod 12
A simple formula that determines the Axis of Reflection (or midpoint) between any two notes (intervals) in 12-tone music.
mitchkahle.substack.com/p/axis-of-re...
mitchkahle.substack.com/p/axis-of-re...
Axis of Reflection
Determining The Axis of Reflection When Solving Harken Music Puzzles
mitchkahle.substack.com
December 9, 2024 at 12:43 PM
A simple formula that determines the Axis of Reflection (or midpoint) between any two notes (intervals) in 12-tone music.
mitchkahle.substack.com/p/axis-of-re...
mitchkahle.substack.com/p/axis-of-re...
Solving a 3x3 Reflection Puzzle for Minor Triad
Triad Puzzle
Solving a 3x3 Reflection Puzzle for Minor Triad
mitchkahle.substack.com
December 8, 2024 at 11:47 PM
Solving a 3x3 Reflection Puzzle for Minor Triad
Solving a 4x4 Reflection Puzzle for Dominant 7th Chords
Chord Puzzle
Solving a 4x4 Reflection Puzzle for Dominant 7th Chords
mitchkahle.substack.com
December 8, 2024 at 10:50 PM
Solving a 4x4 Reflection Puzzle for Dominant 7th Chords
Solving a 5x5 Reflection Puzzle for Major Pentatonic Scale
Pentatonic Puzzle
Solving a 5x5 Reflection Puzzle for Major Pentatonic Scale
mitchkahle.substack.com
December 8, 2024 at 6:25 PM
Solving a 5x5 Reflection Puzzle for Major Pentatonic Scale
Fill-in the blanks to complete this puzzle. Each row is the result of a different reflection (axis) of the top row.
December 7, 2024 at 3:39 PM
Fill-in the blanks to complete this puzzle. Each row is the result of a different reflection (axis) of the top row.