#dodective — Public Fediverse posts

Ok, I understand the mechanics of piano #music now.

Nutshell:
• Piano’s can be tuned to any key, it happens to be C we chose most likely because it is perceptively the happiest.
• #Math wise, an octive up is a frequency doubling, which is a human brain meets physics thing.
• The first, the second, the major third, the perfect forth etc are just 1,2,3 etc names for the keys in the octave. The major minor stuff is how they relate to ratios.
• An “octave” is deceptive as in modern maths we'd call it a #septive. There are 7 keys A-G with the 8th being the next sequence.
• Equal temperament is maths straight lining the octave like drawing even spaces on elastic before pulling it, the method is x root of 2, so for an octave it’s 7th root of 2. It is easier to do the math equivalent 2^(1/7).
• Piano’s are tuned to 12 keys, #dodective, the 12th root of 2, because these smaller slices allow the other notes A-G to find their octaves.
• No octave is true in equal temperament of 12 but are close enough for the human ear. It's also why we have a major and minor third. Tuning for C means that the C octave lines up with the front big white keys.
• Ancient maths didn't have base 10 and the decimal so they used ratios. The major third (E starting at C) ratio at 5/4 is exactly 1.25 in decimal and the minor third (E flat) at 6/5 is exactly 1.2. For comparison the true octave note for E in equal temperament is 1.22, E flat, but on 12, E is 1.26, much closer to 5/4.
• It's about us so the ancient method of ratios is more akin to what we like, which is why C leans to the major third for E in the piano design.
• The reason why music is hard is due to #harmonics, where the tones can clash keys.

Ok, I understand the mechanics of piano #music now.

Nutshell:
• Piano’s can be tuned to any key, it happens to be C we chose most likely because it is perceptively the happiest.
• #Math wise, an octive up is a frequency doubling, which is a human brain meets physics thing.
• The first, the second, the major third, the perfect forth etc are just 1,2,3 etc names for the keys in the octave. The major minor stuff is how they relate to ratios.
• An “octave” is deceptive as in modern maths we'd call it a #septive. There are 7 keys A-G with the 8th being the next sequence.
• Equal temperament is maths straight lining the octave like drawing even spaces on elastic before pulling it, the method is x root of 2, so for an octave it’s 7th root of 2. It is easier to do the math equivalent 2^(1/7).
• Piano’s are tuned to 12 keys, #dodective, the 12th root of 2, because these smaller slices allow the other notes A-G to find their octaves.
• No octave is true in equal temperament of 12 but are close enough for the human ear. It's also why we have a major and minor third. Tuning for C means that the C octave lines up with the front big white keys.
• Ancient maths didn't have base 10 and the decimal so they used ratios. The major third (E starting at C) ratio at 5/4 is exactly 1.25 in decimal and the minor third (E flat) at 6/5 is exactly 1.2. For comparison the true octave note for E in equal temperament is 1.22, E flat, but on 12, E is 1.26, much closer to 5/4.
• It's about us so the ancient method of ratios is more akin to what we like, which is why C leans to the major third for E in the piano design.
• The reason why music is hard is due to #harmonics, where the tones can clash keys.

Ok, I understand the mechanics of piano #music now.

Nutshell:
• Piano’s can be tuned to any key, it happens to be C we chose most likely because it is perceptively the happiest.
• #Math wise, an octive up is a frequency doubling, which is a human brain meets physics thing.
• The first, the second, the major third, the perfect forth etc are just 1,2,3 etc names for the keys in the octave. The major minor stuff is how they relate to ratios.
• An “octave” is deceptive as in modern maths we'd call it a #septive. There are 7 keys A-G with the 8th being the next sequence.
• Equal temperament is maths straight lining the octave like drawing even spaces on elastic before pulling it, the method is x root of 2, so for an octave it’s 7th root of 2. It is easier to do the math equivalent 2^(1/7).
• Piano’s are tuned to 12 keys, #dodective, the 12th root of 2, because these smaller slices allow the other notes A-G to find their octaves.
• No octave is true in equal temperament of 12 but are close enough for the human ear. It's also why we have a major and minor third. Tuning for C means that the C octave lines up with the front big white keys.
• Ancient maths didn't have base 10 and the decimal so they used ratios. The major third (E starting at C) ratio at 5/4 is exactly 1.25 in decimal and the minor third (E flat) at 6/5 is exactly 1.2. For comparison the true octave note for E in equal temperament is 1.22, E flat, but on 12, E is 1.26, much closer to 5/4.
• It's about us so the ancient method of ratios is more akin to what we like, which is why C leans to the major third for E in the piano design.
• The reason why music is hard is due to #harmonics, where the tones can clash keys.

Ok, I understand the mechanics of piano #music now.

Nutshell:
• Piano’s can be tuned to any key, it happens to be C we chose most likely because it is perceptively the happiest.
• #Math wise, an octive up is a frequency doubling, which is a human brain meets physics thing.
• The first, the second, the major third, the perfect forth etc are just 1,2,3 etc names for the keys in the octave. The major minor stuff is how they relate to ratios.
• An “octave” is deceptive as in modern maths we'd call it a #septive. There are 7 keys A-G with the 8th being the next sequence.
• Equal temperament is maths straight lining the octave like drawing even spaces on elastic before pulling it, the method is x root of 2, so for an octave it’s 7th root of 2. It is easier to do the math equivalent 2^(1/7).
• Piano’s are tuned to 12 keys, #dodective, the 12th root of 2, because these smaller slices allow the other notes A-G to find their octaves.
• No octave is true in equal temperament of 12 but are close enough for the human ear. It's also why we have a major and minor third. Tuning for C means that the C octave lines up with the front big white keys.
• Ancient maths didn't have base 10 and the decimal so they used ratios. The major third (E starting at C) ratio at 5/4 is exactly 1.25 in decimal and the minor third (E flat) at 6/5 is exactly 1.2. For comparison the true octave note for E in equal temperament is 1.22, E flat, but on 12, E is 1.26, much closer to 5/4.
• It's about us so the ancient method of ratios is more akin to what we like, which is why C leans to the major third for E in the piano design.
• The reason why music is hard is due to #harmonics, where the tones can clash keys.

Ok, I understand the mechanics of piano #music now.

Nutshell:
• Piano’s can be tuned to any key, it happens to be C we chose most likely because it is perceptively the happiest.
• #Math wise, an octive up is a frequency doubling, which is a human brain meets physics thing.
• The first, the second, the major third, the perfect forth etc are just 1,2,3 etc names for the keys in the octave. The major minor stuff is how they relate to ratios.
• An “octave” is deceptive as in modern maths we'd call it a #septive. There are 7 keys A-G with the 8th being the next sequence.
• Equal temperament is maths straight lining the octave like drawing even spaces on elastic before pulling it, the method is x root of 2, so for an octave it’s 7th root of 2. It is easier to do the math equivalent 2^(1/7).
• Piano’s are tuned to 12 keys, #dodective, the 12th root of 2, because these smaller slices allow the other notes A-G to find their octaves.
• No octave is true in equal temperament of 12 but are close enough for the human ear. It's also why we have a major and minor third. Tuning for C means that the C octave lines up with the front big white keys.
• Ancient maths didn't have base 10 and the decimal so they used ratios. The major third (E starting at C) ratio at 5/4 is exactly 1.25 in decimal and the minor third (E flat) at 6/5 is exactly 1.2. For comparison the true octave note for E in equal temperament is 1.22, E flat, but on 12, E is 1.26, much closer to 5/4.
• It's about us so the ancient method of ratios is more akin to what we like, which is why C leans to the major third for E in the piano design.
• The reason why music is hard is due to #harmonics, where the tones can clash keys.