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On a standard piano keyboard, the black keys appear in groups of two and three, with each group separated from adjacent groups by the presence of two white keys that have no black key between them. The black keys in a group of two are C#/Db and D#/Eb; the black keys in a group of three are F#/Gb, G#/Ab, and A#/Bb. (The A#/Bb key near the left end of the keyboard is a special case; it is the only black key in its group because the white A key to its left is the leftmost key on the keyboard.).

The black keys in a group of two are C#/Db and D#/Eb; the black keys in a group of three are F#/Gb, G#/Ab, and A#/Bb.

The A#/Bb key near the left end of the keyboard is a special case; it is the only black key in its group because the white A key to its left is the leftmost key on the keyboard.

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Kevin Ryde: (Paragraph breaks are available at no extra cost :)

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HereOn a standard piano keyboard, the black keys appear in groups of two and three, with each group separated from adjacent groups by the presence of two blackwhite keys that have 1no whiteblack key (a half step) between them. The black eachkeys in a group of two are C#/Db and D#/Eb; the black keys in a group of three are F#/Gb, G#/Ab, and A#/Bb. (The A#/Bb key near the left end of the keyboard is a special case; it is the only black key groupsin areits separatedgroup bybecause 2the white A key to its left is the leftmost key keys (aon wholethe step).keyboard.)

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Peter Woodward: @Jon - I'm happy with the illustration, and I put in your detailed description in the comments.

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(End)

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========== (If, at some point, it's decided to allow ==========

========== extended ASCII characters, then we could ==========

========== do something like the following...) ==========

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From Jon E. Schoenfield, Aug 11 2022: (Start)

In the diagram below, three octaves (i.e., sets of 12 consecutive keys) have been omitted (as represented by the ellipses):

.

n | 1 2 3 4 5 ... 12 13 14 15

----+-----------------------------------------------------------------

a(n)| 1 2 3 2 3 ... 2 3 2 3

┌─▄─┬─▄─▄─┬─▄─▄─▄─┬─▄─▄─┬─▄─▄─▄─┬...┬─▄─▄─┬─▄─▄─▄─┬─▄─▄─┬─▄─▄─▄─┬─┐

│ █ │ █ █ │ █ █ █ │ █ █ │ █ █ █ │ │ █ █ │ █ █ █ │ █ █ │ █ █ █ │ │

│ █ │ █ █ │ █ █ █ │ █ █ │ █ █ █ │ │ █ █ │ █ █ █ │ █ █ │ █ █ █ │ │

│ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │

└─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴...┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┘

A B C D E F G A B C D E F G A B C D E F G A B C D E F G A B C

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Jon E. Schoenfield: Should the remaining illustration be deleted, and some sort of picture uploaded under Links?

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Jon E. Schoenfield: I'm sorry, I didn't mean to cause this draft to be delayed....

From Jon E. Schoenfield, Aug 11 2022: (Start)

In the diagram below, three octaves (i.e., sets of 12 consecutive keys) have been omitted (as represented by the ellipses):

.

n | 1 2 3 4 5 ... 12 13 14 15

----+-----------------------------------------------------------------

a(n)| 1 2 3 2 3 ... 2 3 2 3

___________________________________..._______________________________

||M|||M|M|||M|M|M|||M|M|||M|M|M|| ||M|M|||M|M|M|||M|M|||M|M|M|| |

||M|||M|M|||M|M|M|||M|M|||M|M|M|| ||M|M|||M|M|M|||M|M|||M|M|M|| |

||_|||_|_|||_|_|_|||_|_|||_|_|_|| ||_|_|||_|_|_|||_|_|||_|_|_|| |

| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |

|_|_|_|_|_|_|_|_|_|_|_|_|_|_|_|_| |_|_|_|_|_|_|_|_|_|_|_|_|_|_|_|

A B C D E F G A B C D E F G A B ... C D E F G A B C D E F G A B C

(End)

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========== PROPOSED ALTERNATIVE VERSION FOLLOWS ==========

======== (NEED TO DELETE ONE OR THE OTHER OR BOTH) =======

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| |M| | |M||M| | |M||M||M| | | |M||M| | |M||M||M| | |

| |M| | |M||M| | |M||M||M| | | |M||M| | |M||M||M| | |

| |M| | |M||M| | |M||M||M| | | |M||M| | |M||M||M| | |

| |/| | |/||/| | |/||/||/| | | |/||/| | |/||/||/| | |

| |/| | |/||/| | |/||/||/| | | |/||/| | |/||/||/| | |

| |/| | |/||/| | |/||/||/| | | |/||/| | |/||/||/| | |

(End)

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========== (If, at some point, it's decided to allow ==========

========== extended ASCII characters, then we could ==========

========== do something like the following...) ==========

.

From Jon E. Schoenfield, Aug 11 2022: (Start)

In the diagram below, three octaves (i.e., sets of 12 consecutive keys) have been omitted (as represented by the ellipses):

.

n | 1 2 3 4 5 ... 12 13 14 15

----+-----------------------------------------------------------------

a(n)| 1 2 3 2 3 ... 2 3 2 3

┌─▄─┬─▄─▄─┬─▄─▄─▄─┬─▄─▄─┬─▄─▄─▄─┬...┬─▄─▄─┬─▄─▄─▄─┬─▄─▄─┬─▄─▄─▄─┬─┐

│ █ │ █ █ │ █ █ █ │ █ █ │ █ █ █ │ │ █ █ │ █ █ █ │ █ █ │ █ █ █ │ │

│ █ │ █ █ │ █ █ █ │ █ █ │ █ █ █ │ │ █ █ │ █ █ █ │ █ █ │ █ █ █ │ │

│ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │

└─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴...┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┴─┘

A B C D E F G A B C D E F G A B C D E F G A B C D E F G A B C

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Jon E. Schoenfield: @Michel -- the "M" (or I guess "W" would've been about as good) was what seemed to me to be the best choice as an ASCII substitute for a space-filling curve to try to darken the black keys. I've replaced them with slashes ...

Jon E. Schoenfield: @Peter -- I've kept the 2nd graphic as it was (except for the "M" -> "/" replacement), and replaced the keyboard part of the 1st graphic with one last idea ...

Jon E. Schoenfield: @Kevin -- You may be right. ASCII art has its limitations, especially without the extended ASCII character set's line-drawing characters. But some things (like piano keyboards) can be represented pretty nicely with those line drawing characters.  I think this new illustration is very unlikely to be accepted, but here it is anyway.  (Consider it the swan song for my attempt at an illustration for this sequence.) :-)