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    Ed Sheeran and the mathematics of musical coincidences

    enJune 25, 2022

    Podcast Summary

    • Music creativity, affordable wireless plans, and online healthcare servicesDiscussed Mint Mobile's reverse auction pricing strategy, PlushCare's online physician access, Ed Sheeran's plagiarism case, and inspiring Olympic athlete stories

      Creativity and originality in music can be a subjective and complex issue. In the discussion, we heard about Mint Mobile's reverse auction pricing strategy and how they're offering affordable wireless plans. We also learned about PlushCare's online service for accessing board-certified physicians and weight loss medications. Additionally, we were reminded of the recent court case involving Ed Sheeran and accusations of plagiarism. The pop sensation won the case, but the incident sparked a conversation about the limited number of notes and chords used in pop music and the likelihood of coincidental similarities between songs. Another key takeaway is the inspiring stories of Olympic and Paralympic athletes shared in "On the Podium" season 2. The podcast highlights the incredible journeys of athletes reaching the podium, emphasizing the importance of determination and resilience. In summary, the discussion covered various topics, from affordable wireless plans and online healthcare services to the complexities of music creativity and the inspiring stories of Olympic athletes.

    • The Limited Number of Musical ThemesMusical coincidences occur frequently due to the limited number of themes that can be created with a fixed set of notes, demonstrated by examples throughout history and explained through the power of exponentials.

      Musical coincidences, where different pieces share similar melodies or themes, are more common than one might think due to the limited number of notes available in music. This idea was sparked by Ed Sheeran's comment about the limited number of themes that can be created with only 12 notes. This concept isn't new, as shown by examples from the 18th century, such as Bach's music and Handel's Messiah, which share the same beginning notes. These musical similarities can be explained through the power of exponentials. The number of possible themes that can be created from a fixed number of notes grows rapidly when you keep multiplying that number by itself. This may be a difficult concept for those without a strong mathematical background to grasp, but it highlights the importance of understanding the potential for coincidence in music. Furthermore, throughout history, there have been debates about copying and originality in music. The discovery of these musical coincidences doesn't necessarily mean that one piece is a copy of the other, but rather an acknowledgment of the limited number of possibilities when working with a finite set of notes. In essence, musical coincidences are a reminder of the interconnectedness of music and the power of numbers, even in seemingly innocuous contexts.

    • The number of possible melodies is vastWith just a few notes, there are thousands of possible melodies, increasing exponentially with more notes added.

      The number of possible melodies or tunes that can be created is vast, even with just a few notes. For the simplest melodies, musicians typically use a major or minor scale, which consists of eight notes. These notes can be combined in various ways to create short tunes. For instance, using the c major scale, the notes are c, d, e, f, g, a, and b. By randomly selecting four notes from this scale, one could create a unique melody. The possibilities increase exponentially as more notes are added to the tune. For example, with ten notes, there are 8 choices for the first note, 8 choices for the second note, 8 choices for the third note, and 8 choices for the fourth note. This results in 8 to the power of 4, or over 4,000 possible combinations for a simple 4-note melody. This principle applies to longer tunes as well, with each note having the potential to be one of eight different notes. The number of possible melodies is enormous, making the creative possibilities endless.

    • The number of unique melodies for a 10-note melody is immenseApproximately 2 quadrillion unique melodies possible for a 10-note melody, considering pitches and simple rhythms

      The number of possible unique melodies, considering pitches and simple rhythms, for a 10-note melody is enormous. With 10 pitches and 4 note values, we have 8 possibilities for each pitch and 4 for each note value, resulting in 32 possibilities per note. Raised to the power of 10, this equals approximately 10 to the power of 15, or two quadrillion possibilities. This calculation doesn't even account for major and minor keys, which would double the number. So, songs have a vast array of unique possibilities, making creativity in music an endless endeavor.

    • The vast number of possible unique songsThe combination of mathematical possibilities and emotional significance creates the uniqueness of each song

      The number of possible unique songs is immense, estimated to be around 20 million vigintillion, considering 8 pitches, major or minor, 4 possible rhythms, and 171,000 possible words for each note. However, writing music involves more than just the math of combinations; harmony and how parts fit together are crucial. The example of Ed Sheeran's music illustrates that the importance of a particular musical component in a song goes beyond the probability of it being the same tune. Music's ability to remind us of other music stems from a combination of factors, including the mathematical possibilities and the emotional significance of the music.

    • Shopify: A Constant Companion for Business GrowthShopify offers flexibility and convenience, with the Internet's best converting checkout, helping businesses grow from inception to hitting a million orders. Try it out with a $1 per month trial period.

      No matter what stage your business is at, Shopify is there to help you grow. The podcast speaker shares his personal experience of representing his journey through the Olympics, and how Shopify has been a constant companion for him in his business, from its inception to hitting a million orders. Shopify offers flexibility and convenience, with the Internet's best converting checkout, helping businesses turn browsers into buyers. Moreover, Shopify offers a $1 per month trial period for those looking to start their business journey. Additionally, the importance of flexibility was further emphasized with a mention of UnitedHealthcare Insurance Plans, which offer flexible and budget-friendly medical, dental, and vision coverage. Overall, the message is clear: whether it's your health or your business, flexibility and growth are key, and Shopify and UnitedHealthcare Insurance Plans are here to help you achieve just that.

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