diff --git a/crates/ekore/src/harmonics/cache.rs b/crates/ekore/src/harmonics/cache.rs
index f8dfd487c..a9dc6ad25 100644
--- a/crates/ekore/src/harmonics/cache.rs
+++ b/crates/ekore/src/harmonics/cache.rs
@@ -50,6 +50,8 @@ pub enum K {
     S1ph,
     S2ph,
     S3ph,
+    S1p2,
+    G3p2,
 }
 
 /// Hold all cached values.
@@ -94,6 +96,7 @@ impl Cache {
             K::S2mh => w2::S2((self.n - 1.) / 2.),
             K::S3mh => w3::S3((self.n - 1.) / 2.),
             K::G3 => g_functions::g3(self.n, self.get(K::S1)),
+            K::G3p2 => g_functions::g3(self.n + 2., self.get(K::S1p2)),
             K::Sm1e => w1::Sm1e(self.get(K::S1), self.get(K::S1h)),
             K::Sm1o => w1::Sm1o(self.get(K::S1), self.get(K::S1mh)),
             K::Sm2e => w2::Sm2e(self.get(K::S2), self.get(K::S2h)),
@@ -105,6 +108,7 @@ impl Cache {
             K::S1ph => recursive_harmonic_sum(self.get(K::S1mh), (self.n - 1.) / 2., 1, 1),
             K::S2ph => recursive_harmonic_sum(self.get(K::S2mh), (self.n - 1.) / 2., 1, 2),
             K::S3ph => recursive_harmonic_sum(self.get(K::S3mh), (self.n - 1.) / 2., 1, 3),
+            K::S1p2 => recursive_harmonic_sum(self.get(K::S1), self.n, 2, 1),
         };
         // insert
         self.m.insert(k, val);